Forums
Forum navigation vocabulary
 General discussion (2)
 College Algebra (5)
 Trigonometry (1)
 Plane Geometry (8)
 Solid Geometry (1)
 Analytic Geometry (1)
 Engineering Economy (3)
 Differential Calculus (7)
 Integral Calculus (2)
 Differential Equations (6)
 Advance Engineering Mathematics (1)
 Engineering Mechanics (7)
 Strength of Materials (2)
Books
Books at MATHalino.

College Algebra
 Laws of Exponents and Radicals
 Logarithm and Other Important Properties in Algebra
 Quadratic Equations in One Variable
 Special Products and Factoring

Arithmetic, Geometric, and Harmonic Progressions
 01  Geometric Progression With Some Given Terms
 02  Numbers 4, 2, 5, and 18 are Added Respectively to the First Four Terms of AP, Forming Into a GP
 03  Sum of Areas of Equilateral Triangles Inscribed in Circles
 04  Sum of Areas of Infinite Number of Squares
 05  Threedigit Numbers not Divisible by 3
 Derivation of Sum of Arithmetic Progression
 Derivation of Sum of Finite and Infinite Geometric Progression
 Relationship Between Arithmetic Mean, Harmonic Mean, and Geometric Mean of Two Numbers
 Binomial Theorem

System of Equations
 01  Simultaneous NonLinear Equations of Three Unknowns
 02  Simultaneous NonLinear Equations of Three Unknowns
 03  Simultaneous NonLinear Equations of Three Unknowns
 04  Simultaneous NonLinear Equations of Three Unknowns
 05  Simultaneous NonLinear Equations of Three Unknowns
 06  Simultaneous NonLinear Equations of Two Unknowns
 07  Simultaneous NonLinear Equations of Two Unknowns
 08  Simultaneous NonLinear Equations of Two Unknowns
 09  Number of CEs, EEs, and MEs and their Average Ages
 10  Smallest number for given remainders
 Variation

Verbal Problems in Algebra
 Agerelated Problems
 Clockrelated Problems
 Digitrelated Problems
 Geometryrelated Problems
 Mixturerelated Problems
 Moneyrelated Problems

Motionrelated Problems
 01  Sound of impact of the bullet hitting the target
 02  Cars moving in opposite directions
 03  In rowing a boat: find the rate of stream
 04  Two runners moving in the same direction in an oval track
 05  Two runners moving in opposite directions in a circular track
 06  The Battleship Was Brought to Full Stop After 1 Hour of Voyage
 07  A Man Covers an Unknown Distance at Different Rates
 08  Sound of Impact be Heard Before the Report of the Gun
 09  Number of Leaps to Take to Catch the Lead
 10  Messenger From Front To Rear Then To Front Of A Marching Army Column
 11  Messenger From Rear To Front Then Back To Rear Of A Marching Battalion
 Numberrelated Problems
 Workrelated Problems

Probability and Statistics
 Counting Techniques

Probability
 01  Number of Black and White Marbles in a Bag
 02  Army Recruits to Receive the Correct Size of Boots
 03  Acceptability of Large Shipment Due to Defective Items
 04  A Point in a Square to Subtend an Obtuse Angle to Adjacent Corners
 05  Family of Five Children
 06  Three Men Shoot and the First Man Hits the Target
 07  A fly to pass a spider
 Poisson Probability Distribution
 Probability Involving Cards
 Sets

Plane Geometry
 The Triangle
 The Quadrilateral
 The Polygon

The Circle
 01 Arcs of quarter circles
 02 Area bounded by arcs of quarter circles
 03 Area enclosed by pairs of overlapping quarter circles
 04 Four overlapping semicircles inside a square
 05 Three identical cirular arcs inside a circle
 06 Circular arcs inside and tangent to an equilateral triangle
 07 Area inside the larger circle but outside the smaller circle
 08 Circles with diameters equal to corresponding sides of the triangle
 09 Areas outside the overlapping circles indicated as shaded regions
 10 Swimming pool in the shape of two intersecting circles
 11  Area inside a circle but outside three other externally tangent circles
 12  Circular sector inscribed in a square
 13  Length of Belt Connecting Two Pulleys
 14  Area the goat can graze inside a right triangular lot
 Angle between two chords
 Area of Regular FivePointed Star
 Area of Regular SixPointed Star
 Circle Tangent Internally to Another Circle

Solid Mensuration

Solids for which V = Bh

The Prism
 Solved Problem 01  Cube
 Solved Problem 02  Cube
 Solved Problem 03  Cube
 Solved Problem 04  Cube
 Solved Problem 05  Cube
 Solved Problem 06  Cube
 Solved Problem 07  Cube
 Solved Problem 08  Cube
 Solved Problem 09  Cube
 Solved Problem 10  Cube
 Solved Problem 14  Rectangular Parallelepiped
 Solved Problem 01  Rectangular Parallelepiped
 Solved Problem 02  Rectangular Parallelepiped
 Solved Problem 03  Rectangular Parallelepiped
 Solved Problem 04  Rectangular Parallelepiped
 Solved Problem 05  Rectangular Parallelepiped
 Solved Problem 06  Rectangular Parallelepiped
 Solved Problem 07  Rectangular Parallelepiped
 Solved Problem 08  Rectangular Parallelepiped
 Solved Problem 09  Rectangular Parallelepiped
 Solved Problem 12  Rectangular Parallelepiped
 Solved Problem 13  Rectangular Parallelepiped
 The Cylinder

The Prism
 Solids for which V = (1/3)Bh
 Solids for which V = (mean B)h
 Similar Figures

The Sphere
 01 Solid steel ball remolded into hollow steel ball
 02 Weight of snow ball 1.2 m in diameter
 03 Weight of an 5cm thick iron shell with 50cm external diameter
 04 Cost of covering the hemispherical dome with gold leaf
 05 Weight of 1000 pcs ivory billiard balls
 06 Weight of metal to manufacture 100,000 steel ball bearings 12 mm in diameter
 07  08 Volume and surface area of earth and balloon
 09 Selling price of 2" oranges
 10 Weight of snow in an igloo with 12 ft inside diameter and 2 ft thick
 11 Height of pile of spheres in the form of a pyramid
 12 Volume and total area of sphere circumscribing a cylinder of altitude and diameter each equal to 6 inches
 13 Compare the volume of a sphere inscribed in a cube with volume of the sphere that circumscribes the cube.
 15 Volume of water necessary to cover two unequal spheres inside a cylindrical jar
 16 Surface area and volume of sphere circumscribing a regular tetrahedron
 The General Prismatoid

Summary and Review
 01 Review Problem  Weight of a brass water pipe
 02 Review Problem  Great wall of China moved to the equator
 03 Review Problem  Sphere melted into cylinder
 04 Review Problem  Size of a column in Fingal's Cave
 05 Review Problem  Weight of gravity dam
 06 Review Problem  Area illuminated by light placed in front of the globe
 07 Review Problem  Length of wire
 08 Review Problem  Pint tin can
 09 Review Problem  Volume of anchor ring
 10 Review Problem  Volume of a stick
 11 Review Problem  Cutting the strongest square timber
 12 Review Problem  Lake for household water supply
 13 Review Problem  Volume of water inside the Venturi meter
 14 Review Problem  Weight of concrete surge chamber when full of water
 15 Review Problem  Volume of spherical shell
 16 Review Problem  Mammoth Dredges Used in Panama Canal
 17 Review Problem  Amount of water to fill the large network of city pipes
 18 Review Problem  Volume of Stone Bridge
 19 Review Problem  Which buy is more economical?
 20 Review Problem  Volume of a factory chimney
 21 Review Problem  Finding the volume of a stone
 22 Review Problem  Tin required to create a funnel
 23 Review Problem  Lead pipe melt into a cube
 24 Review Problem  Will the pail hold all the water in the pipe?
 25 Review Problem  Time required to fill a reservoir of water
 26 Review Problem  Find the diameter of a wooden ball
 27 Review Problem  Amount of concrete in making fencing posts
 28 Review Problem  Amount of metal sheet used to construct a water tank
 29 Review Problem  Chinese coin pierced by a square hole
 30 Review Problem  Amount of molten glass in a lump
 31 Review Problem  Cost of mainline sewer pipe
 32 Review Problem  How many cups of coffee a coffee pot can hold?
 33 Review Problem  Finding which one is the better bargain
 34 Review Problem  Sphere dropped into a cone
 35 Review Problem  Amount of concrete in a caisson
 36 Review Problem  Circular hole bored through a sphere
 37 Review Problem  Amount of material the factory chimney contain
 38 Review Problem  Circular log with nonuniform crosssection
 39 Review Problem  Bushels of wheat the grain elevator can hold
 40 Review Problem  Volume comparisons of two water crystals
 41 Review Problem  Weight capacity of industrial soap kettle
 42 Review Problem  Water is poured by tilting the glass

Solids for which V = Bh

Differential Calculus
 Fundamentals
 Algebraic Functions

Applications

Maxima and Minima
 01  04 Number Problems in Maxima and Minima
 05  08 Number Problems in Maxima and Minima
 09  11 Rectangular Lot Problems in Maxima and Minima
 12  14 Rectangular Lot Problems in Maxima and Minima
 15  17 Box open at the top in maxima and minima
 18  20 Rectangular beam in maxima and minima problems
 21  24 Solved problems in maxima and minima
 25  27 Solved problems in maxima and minima
 28  Solved problem in maxima and minima
 29  31 Solved problems in maxima and minima
 32  34 Maxima and minima problems of a rectangle inscribed in a triangle
 35  37 Solved problems in maxima and minima
 38  40 Solved problems in maxima and minima
 41  42 Maxima and Minima Problems Involving Trapezoidal Gutter
 43  45 Solved problems in maxima and minima
 46  47 Solved Problems in Maxima and Minima
 48  49 Shortest distance from a point to a curve by maxima and minima
 50  52 Nearest distance from a given point to a given curve
 53  55 Solved Problems in Maxima and Minima
 56  57 Maxima and minima problems of square box and silo
 58  59 Maxima and minima: Cylinder surmounted by hemisphere and cone
 60  61 Maxima and minima problems of a folded page
 62  63 Maxima and minima: cylinder inscribed in a cone and cone inscribed in a sphere
 64  65 Maxima and minima: cone inscribed in a sphere and cone circumscribed about a sphere
 66  68 Maxima and minima: Pyramid inscribed in a sphere and Indian tepee
 69  71 Shortest and most economical path of motorboat
 72  74 Light intensity of illumination and theory of attraction
 Cylinder of maximum volume and maximum lateral area inscribed in a cone
 Distance between projection points on the legs of right triangle (solution by Calculus)
 Largest Right Triangle of Given Hypotenuse
 Largest parabolic section from right circular cone
 Location of the third point on the parabola for largest triangle
 Maximum Revenue for Tour Bus of 80 Seats
 Minimum length of cables linking to one point

Time Rates
 0102 Water flowing into cylindrical tank
 03 Water flowing into rectangular trough
 0405 Water flowing into triangular trough
 0607 Ladder slides down the wall
 0809 Rate of movement of shadow on the ground
 10  A boy on a bike
 1112 Two trains; one going to east, and the other is heading north
 1314 Water flowing into trapezoidal trough
 1516 Movement of shadow from light at eye level
 1718 Rate of shadow in the wall of a building
 1921 Two cars driving in parallel roads
 2224 One car from a city starts north, another car from nearby city starts east
 25 Two cars that may collide at 12:30 PM
 2627 Time Rates: Kite moving horizontally
 2829 Time Rates: Two cars driving on roads that intersects at 60 degree
 30  Two trains in perpendicular tracks
 3132 Train in an elevated track and car in perpendicular road
 3334 Time Rates: A car traveling east and airplane traveling north
 3536 Time Rates: Lengthening of shadow and movement of its tip in 3D space
 3738 How fast a ship leaving from its starting point
 Rate of change of surface area of sphere

Maxima and Minima

Trigonometric and Inverse Trigonometric Functions
 01 Rectangle of maximum perimeter inscribed in a circle
 02  Cylinder of maximum convex area inscribed in a sphere
 03  Heaviest cylinder that can be made from a shot
 0405 Stiffness and strength of timber beam
 0609 Trapezoidal gutter of greatest capacity
 10  Largest conical tent of given slant height
 11  Triangular gutter of maximum carrying capacity
 12  Cone of maximum convex area inscribed in a sphere
 13  Sphere cut into a circular cone
 1415 Ladder reaching the house from the ground outside the wall
 16  Light placed above the center of circular area
 1718 A man in a motorboat needs to catch a bus
 19 Direction of the man to reach his destination as soon as possible
 2021 Width of the second corridor for a pole to pass horizontally
 22  Smallest cone that may circumscribe a sphere
 23  Sphere cut into a pyramid
 2425 Largest rectangle inscribed in a circular quadrant
 2627 Horizontal rod entering into a room from a perpendicular corridor
 37  A ladder sliding downward
 38  Rate of rotation of search light pointing to a ship
 39  Rate of increase of angle of elevation of the line of sight
 40  Base angle of a growing right triangle
 44  Angle of elevation of the rope tied to a rowboat on shore
 45  Angle of elevation of the the kite's cord
 4648 Rate of rotation of the searchlight
 4951 Ship sailing east and turned N 30d E
 5253 Two cars traveling from the same point but going to different directions
 55  Greatest angle subtended by a picture
 Length of one side for maximum area of trapezoid (solution by Calculus)
 Trapezoidal gutter made from 24 m wide iron sheet
 Partial Derivatives

Integral Calculus
 Fundamental Theorems of Calculus
 Fundamental Integration Formulas
 Techniques of Integration

Applications of Integration

Plane Areas
 Example 1  Plane Areas in Rectangular Coordinates
 Example 2  Plane Areas in Rectangular Coordinates
 Example 3  Plane Areas in Rectangular Coordinates
 Example 4  Plane Areas in Rectangular Coordinates
 Example 5  Plane Areas in Rectangular Coordinates
 Example 6  Plane Areas in Rectangular Coordinates
 Example 7  Area inside the square not common to the quarter circles
 Example 8  Area bounded by arcs of quarter circles
 01 Area enclosed by r = 2a sin^2 θ and r = 2a cos^2 θ
 02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ
 03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1  sin θ), r = a(1 + cos θ), r = a(1  cos θ)
 03 Area inside the cardioid r = a(1 + cos θ) but outside the circle r = a
 04 Area of the Inner Loop of the Limacon r = a(1 + 2 cos θ)
 05 Area Enclosed by r = a sin 2θ and r = a cos 2θ
 06 Area within the curve r^2 = 16 cos θ
 07 Area Enclosed by r = 2a cos θ and r = 2a sin θ
 08 Area Enclosed by r = a sin 3θ and r = a cos 3θ
 Area for grazing by the goat tied to a silo
 Length of Arc
 Solids of Revolution by Integration

Plane Areas

Elementary Differential Equations

Differential Equations of Order One
 Problem 01  Separation of Variables
 Problem 02  Separation of Variables
 Problem 03  Separation of Variables
 Problem 04  Separation of Variables
 Problem 05  Separation of Variables
 Problem 06  Separation of Variables
 Problem 07  Separation of Variables
 Problem 08  Separation of Variables
 Problem 09  Separation of Variables
 Problem 10  Separation of Variables
 Problem 11  Separation of Variables
 Problem 12  Separation of Variables
 Problem 13  Separation of Variables
 Problem 14  15  Separation of Variables
 Problem 16  Separation of Variables
 Problem 17  Separation of Variables
 Problem 18  Separation of Variables
 Problem 19  Separation of Variables
 Problem 20  Separation of Variables
 Problem 21  Separation of Variables
 Problem 22  Separation of Variables
 Problem 23  Separation of Variables
 Problem 01  Equations with Homogeneous Coefficients
 Problem 02  Equations with Homogeneous Coefficients
 Problem 03  Equations with Homogeneous Coefficients
 Problem 04  Equations with Homogeneous Coefficients
 Problem 01  Exact Equations
 Problem 02  Exact Equations
 Problem 03  Exact Equations
 Problem 04  Exact Equations
 Problem 01  Linear Equations
 Problem 02  Linear Equations
 Problem 03  Linear Equations
 Problem 04  Linear Equations

Additional Topics on the Equations of Order One
 Problem 01  Integrating Factors Found by Inspection
 Problem 02  Integrating Factors Found by Inspection
 Problem 03  Integrating Factors Found by Inspection
 Problem 04  Integrating Factors Found by Inspection
 Problem 05  Integrating Factors Found by Inspection
 Problem 06  07  Integrating Factors Found by Inspection
 Problem 11  Integrating Factors Found by Inspection
 Equation of a curve with given equation of slope and passing through a point
 Problem 01  Determination of Integrating Factor
 Problem 02  Determination of Integrating Factor
 Problem 03  Determination of Integrating Factor
 Problem 04  Determination of Integrating Factor
 Problem 01  Substitution Suggested by the Equation
 Problem 02  Substitution Suggested by the Equation
 Problem 03  Substitution Suggested by the Equation
 Problem 04  Bernoulli's Equation
 Problem 05  Substitution Suggested by the Equation
 Elementary Applications

Differential Equations of Order One

Advance Engineering Mathematics
 Infinite Series

Laplace Transform
 Problem 01  Laplace Transform by Integration
 Problem 02  Laplace Transform by Integration
 Problem 03  Laplace Transform by Integration
 Problem 01  Linearity Property of Laplace Transform
 Problem 02  Linearity Property of Laplace Transform
 Problem 01  First Shifting Property of Laplace Transform
 Problem 02  First Shifting Property of Laplace Transform
 Problem 03  First Shifting Property of Laplace Transform
 Problem 04  First Shifting Property of Laplace Transform
 Problem 01  Second Shifting Property of Laplace Transform
 Problem 02  Second Shifting Property of Laplace Transform
 Problem 01  Change of Scale Property of Laplace Transform
 Problem 02  Change of Scale Property of Laplace Transform
 Problem 03  Change of Scale Property of Laplace Transform
 Problem 01  Multiplication by Power of t
 Problem 02  Multiplication by Power of t
 Problem 03  Multiplication by Power of t
 Problem 01  Division by t
 Problem 02  Division by t
 Problem 03  Division by t
 Problem 04  Division by t
 Problem 01  Laplace Transform of Derivatives
 Problem 02  Laplace Transform of Derivatives
 Problem 03  Laplace Transform of Derivatives
 Problem 04  Laplace Transform of Derivatives
 Problem 01  Laplace Transform of Intergrals
 Problem 02  Laplace Transform of Intergrals
 Problem 03  Laplace Transform of Intergrals
 Problem 01  Evaluation of Integrals
 Problem 02  Evaluation of Integrals
 Problem 03  Evaluation of Integrals
 Problem 04  Evaluation of Integrals
 The Inverse Laplace Transform

Engineering Mechanics

Principles of Statics

Components of a Force
 001 Horizontal and vertical componets of planar forces
 002 Components of forces with given slope
 003 Components of a 3D force with given distances
 004 Components of a 3D force with given angles
 005 Components of a force in rotated axes
 006 Components of a force in axes that are not perpendicular to each other
 007 Components of a force parallel and perpendicular to the incline
 008 Components of a force at different pairs of axes
 009 Force with given component parallel to the incline
 010 Components of force normal and tangent to hypotenuse of a triangle
 016 Components of a force parallel to supporting bars
 017 Computation of force with given component parallel to a frame member

Moment of a Force
 226  Moment of force about different points
 227  Moment of resultant force about a point
 228 Intercepts of the resultant force
 229 Ycoordinate of the point of application of the force
 230 Distance from truss member to truss joint
 231 Force P producing a clockwise moment about the origin
 232 Moment of a force about points O and B
 233 A force creating counterclockwise and clockwise moments

Couples
 245  Couple in the box
 246  System with couples and forces on it
 247  Resultant of couples in a 3step pulley
 248  Broken handwheel replaced by lever to close a gate valve
 249  Reactions at the bolts of speed reducer gear box
 250 Reaction at the supports of cantilever truss
 251 Two forces producing a couple and a force
 252 Equivalent single force for a force and a couple
 253254 Equivalent single force to replace a force and a couple
 255 Equivalent loads to a compression member with eccentric load
 256 Twisting and bending effects
 257 Horizontal couple equivalent to vertical forces
 258 Equivalent horizontal and vertical couples
 Resultant of Concurrent Force System

Resultant of Parallel Force System
 236 Computation of the resultant of parallel forces acting on the lever
 237 Finding the resultant of parallel forces acting on both sides of the rocker arm
 238 Finding the resultant of trapezoidal loading
 239 Resultant of lift on the wing of an airplane
 240 How to locate the centroid of metal plate with circular hole
 241 Finding the resultant of vertical forces acting on the Fink truss
 242 Finding the unknown two forces with given resultant
 243 Finding the magnitude and position of the missing force

Resultant of NonConcurrent Force System
 Problem 260  261  Resultant of NonConcurrent Force System
 Problem 262  Resultant of NonConcurrent Force System
 Problem 263  Resultant of NonConcurrent Force System
 Problem 264  Resultant of NonConcurrent Force System
 Problem 265  Resultant of NonConcurrent Force System
 Problem 266  Resultant of NonConcurrent Force System
 Problem 267  Resultant of NonConcurrent Force System
 Problem 268  Resultant of NonConcurrent Force System
 Problem 269  Resultant of NonConcurrent Force System
 Problem 270  Resultant of NonConcurrent Force System
 Problem 271  Resultant of NonConcurrent Force System

Components of a Force

Equilibrium of Force System

Equilibrium of Concurrent Force System
 Problem 308  Equilibrium of Concurrent Force System
 Problem 309  Equilibrium of Concurrent Force System
 Problem 310  311  Equilibrium of Concurrent Force System
 Problem 312  Equilibrium of Concurrent Force System
 Problem 313  Equilibrium of Concurrent Force System
 Problem 314  Equilibrium of Concurrent Force System
 Problem 315  Equilibrium of Concurrent Force System
 Problem 316  Equilibrium of Concurrent Force System
 Problem 317  Equilibrium of Concurrent Force System
 Problem 318  Equilibrium of Concurrent Force System
 Problem 319  Equilibrium of Concurrent Force System
 Problem 322  Equilibrium of Force System
 Problem 323  Equilibrium of Force System
 Problem 324  Equilibrium of Threeforce System
 Problem 325  Equilibrium of Threeforce System
 Problem 326  Equilibrium of Force System
 Problem 327  Equilibrium of Force System
 Problem 328  Equilibrium of Force System

Equilibrium of Parallel Force System
 Problem 329  Equilibrium of Force System
 Problem 332  Equilibrium of Parallel Force System
 Problem 333  Equilibrium of Parallel Force System
 Problem 334  Equilibrium of Parallel Force System
 Problem 335  Equilibrium of Parallel Force System
 Problem 336  Equilibrium of Parallel Force System
 Problem 337  Equilibrium of Parallel Force System
 Problem 338  Equilibrium of Parallel Force System
 Problem 339  Equilibrium of Parallel Force System
 Problem 340  341  Equilibrium of Parallel Force System
 Problem 342  Equilibrium of Parallel Force System
 Problem 343  Equilibrium of Parallel Force System
 Reactions of Tripod Made from Wood Planks
 Support Reactions of a Trapezoidal Slab with Three Points of Support

Equilibrium of NonConcurrent Force System
 Problem 346  Equilibrium of NonConcurrent Force System
 Problem 347  Equilibrium of NonConcurrent Force System
 Problem 348  Equilibrium of NonConcurrent Force System
 Problem 349  Equilibrium of NonConcurrent Force System
 Problem 350  Equilibrium of NonConcurrent Force System
 Problem 351  Equilibrium of NonConcurrent Force System
 Problem 352  Equilibrium of NonConcurrent Force System
 Problem 353  Equilibrium of NonConcurrent Force System
 Problem 354  Equilibrium of NonConcurrent Force System
 Problem 355  Equilibrium of NonConcurrent Force System
 Problem 356  Equilibrium of NonConcurrent Force System
 Problem 357  Equilibrium of NonConcurrent Force System
 Problem 358  Equilibrium of NonConcurrent Force System
 Problem 359  Equilibrium of NonConcurrent Force System
 Problem 360  Equilibrium of NonConcurrent Force System
 Problem 361  Equilibrium of NonConcurrent Force System

Equilibrium of Concurrent Force System

Analysis of Structures

Method of Joints  Analysis of Simple Trusses
 Problem 001mj  Method of Joints
 Problem 002mj  Method of Joints
 Problem 003mj  Method of Joints
 Problem 004mj  Method of Joints
 Problem 005mj  Method of Joints
 Problem 403  Method of Joints
 Problem 404 Roof Truss  Method of Joints
 Problem 405  Method of Joints
 Problem 406 Cantilever Truss  Method of Joints
 Problem 407 Cantilever Truss  Method of Joints
 Problem 408 Warren Truss  Method of Joints
 Problem 409 Howe Roof Truss  Method of Joints
 Problem 410 Pratt Roof Truss  Method of Joints
 Problem 411 Cantilever Truss by Method of Joints
 Problem 412 Right Triangular Truss by Method of Joints
 Problem 413 Crane by Method of Joints
 Problem 414 Truss by Method of Joints

Method of Sections  Analysis of Simple Trusses
 Problem 001ms  Method of Sections
 Problem 002ms  Method of Sections
 Problem 003ms  Method of Sections
 Problem 004ms  Method of Sections
 Problem 005ms  Method of Sections
 Problem 417  Roof Truss by Method of Sections
 Problem 418  Warren Truss by Method of Sections
 Problem 419  Warren Truss by Method of Sections
 Problem 420  Howe Truss by Method of Sections
 Problem 421  Cantilever Truss by Method of Sections
 Problem 422  Righttriangular Truss by Method of Sections
 Problem 423  Howe Roof Truss by Method of Sections
 Problem 424  Method of Joints Checked by Method of Sections
 Problem 425  Fink Truss by Method of Sections
 Problem 426  Fink Truss by Method of Sections
 Problem 427  Interior Members of Nacelle Truss by Method of Sections
 Problem 428  Howe Truss by Method of Sections
 Problem 429  Cantilever Truss by Method of Sections
 Problem 430  Parker Truss by Method of Sections
 Problem 431  Members in the Third Panel of a Parker Truss
 Problem 432  Force in Members of a Truss by Method of Sections
 Problem 433  Scissors Truss by Method of Sections
 Problem 434  Scissors Truss by Method of Sections
 Problem 435  Transmission Tower by Method of Sections
 Problem 436  Howe Truss With Counter Braces
 Problem 437  Truss With Counter Diagonals
 Problem 438  Truss With Redundant Members

Method of Members  Frames Containing ThreeForce Members
 Problem 001mm  Method of Members
 Problem 002mm  Method of Members
 Problem 003mm  Method of Members
 Problem 004mm  Method of Members
 Problem 005mm  Method of Members
 Problem 006fr  Analysis of Simple Frame
 Problem 007cb  Analysis of Cabled Frame
 Problem 440  Frame Analysis by Method of Members
 Problem 441  Analysis of Frame by Method of Members
 Problem 442  Analysis of Frame by Method of Members
 Problem 443  Analysis of Frame by Method of Members
 Problem 444  Analysis of an AFrame by Method of Members
 Problem 445  Analysis of an XFrame by Method of Members
 Problem 446  Compound Truss Formed Into ThreeHinged Arch
 Problem 447  Compound Truss Formed Into ThreeHinged Arch
 Problem 448  Beam of Three Segments Joined by Internal Hinges
 Problem 449  Reactions at the Supports of a Bridge
 Problem 450  Reactions at Hinge Support of the Frame Holding
 Problem 451  Components of Hinge Forces of a Frame
 Problem 452  Weight Supported by a Cable Which Runs Over a Frictionless Pulley
 Problem 453  Analysis of Aframe with Weightless Cylinder
 Problem 454  System of Booms and Pulleys

Method of Joints  Analysis of Simple Trusses

Friction
 Problem 506  Friction
 Problem 507  Friction
 Problem 508  Friction
 Problem 509  Friction
 Problem 510  Friction
 Problem 511  Friction
 Problem 512  Friction
 Problem 513  Friction
 Problem 514  Friction
 Problem 515  Friction
 Problem 516  Friction
 Problem 519  Friction
 Problem 520  Friction
 Problem 521  Friction
 Problem 522  Friction
 Problem 523  Friction
 Problem 524  Friction
 Problem 525  Friction
 Problem 526  Friction
 Problem 527 and Problem 528  Friction
 Problem 529  Friction
 Problem 530  Friction
 Problem 531  Friction
 Problem 532  Friction
 Problem 533  Friction
 Problem 535  Friction on Wedges
 Problem 536  Friction on Wedges
 Problem 537  Friction on Wedges
 Problem 538  Friction on Wedges
 Problem 539  Friction on Wedges
 Problem 540  Friction on Wedges
 Problem 541  Friction on Wedges
 Problem 542  Friction on Wedges
 Problem 543  Friction on Wedges
 Problem 544  Friction on Wedges

Centroids and Centers of Gravity
 705 Centroid of parabolic segment by integration
 706 Centroid of quarter circle by integration
 707 Centroid of quarter ellipse by integration
 708 Centroid and area of spandrel by integration
 709 Centroid of the area bounded by one arc of sine curve and the xaxis
 714 Inverted Tsection  Centroid of Composite Figure
 715 Semicircle and Triangle  Centroid of Composite Figure
 716 Semicircular Arc and Lines  Centroid of Composite Figure
 717 Symmetrical Arcs and a Line  Centroid of Composite Line
 718 Square and Triangles  Centroid of Composite Area
 719 Closed Straight Lines  Centroid of Composite Lines
 720 Two triangles  Centroid of Composite Area
 721 Increasing the width of flange to lower the centroid of inverted Tbeam
 722 Semicircle and quarter circle  Centroid of composite area
 723 Rectangle, quarter circle and triangle  Centroid of Composite Area
 724 Rectangle, semicircle, quartercircle, and triangle  Centroid of Composite Area
 725 Centroid of windlift of airplane wing  Centroid of area
 726 Area enclosed by parabola and straigh line  Centroid of Composite Area

Moment of Inertia and Radius of Gyration
 816 Polar moment of inertia and radius of gyration at one corner of rectangle
 817 Hollow Tube  Moment of Inertia and Radius of Gyration
 818 Hollow square section  Moment of Inertia and Radius of Gyration
 819 Inverted Tsection  Moment of Inertia
 820 Unsymmetrical Isection  Moment of Inertia
 821 Rectangle minus semicircle  Moment of Inertia
 Area, moment of inertia, and radius of gyration of parabolic section

Dynamics

Kinematics
 1002 Location of warning torpedo  Rectilinear Translation
 1003 Return in 10 seconds  Rectilinear Translation
 1004 Relative velocity  Rectilinear Translation
 1005 Finding the depth of well by dropping a stone  Rectilinear Translation
 1007 Finding when and where the stones pass each other  Rectilinear Translation
 1008 Stones thrown vertically upward  Rectilinear Translation
 1009 Initial velocity of the second ball  Rectilinear Translation
 1010 Time to wait in dropping a stone  Rectilinear Translation
 1011 Time of launching a ship  Rectilinear Translation
 1012 Train at constant deceleration  Rectilinear Translation
 1019 Velocity and acceleration from the equation of distance  Motion with Variable Acceleration
 Two particles released from the same height and reached the base at the same time
 Curvilinear Translation  Projectile Motion

Kinematics
 Force Systems in Space

Principles of Statics

Strength of Materials

Chapter 01  Simple Stresses

Normal Stresses
 Solution to Problem 104 Normal Stress
 Solution to Problem 105  Normal Stress
 Solution to Problem 106 Normal Stress
 Solution to Problem 107 Normal Stress
 Solution to Problem 108 Normal Stress
 Solution to Problem 109 Normal Stress
 Solution to Problem 110 Normal Stress
 Solution to Problem 111 Normal Stress
 Solution to Problem 112 Normal Stress
 Solution to Problem 113 Normal Stress
 Solution to Problem 114 Normal Stress

Shear Stress
 Solution to Problem 115 Shear Stress
 Solution to Problem 116 Shear Stress
 Solution to Problem 117 Shear Stress
 Solution to Problem 118 Shear Stress
 Solution to Problem 119 Shear Stress
 Solution to Problem 120 Shear Stress
 Solution to Problem 121 Shear Stress
 Solution to Problem 122 Shear Stress
 Solution to Problem 123 Shear Stress
 Bearing Stress

Thinwalled Pressure Vessels
 Solution to Problem 133 Pressure Vessel
 Solution to Problem 134 Pressure Vessel
 Solution to Problem 135 Pressure Vessel
 Solution to Problem 136 Pressure Vessel
 Solution to Problem 137 Pressure Vessel
 Solution to Problem 138 Pressure Vessel
 Solution to Problem 139 Pressure Vessel
 Solution to Problem 140 Pressure Vessel
 Solution to Problem 141 Pressure Vessel
 Solution to Problem 142 Pressure Vessel

Normal Stresses

Chapter 02  Strain
 Stressstrain Diagram

Axial Deformation
 Solution to Problem 203 Stressstrain Diagram
 Solution to Problem 204 Stressstrain Diagram
 Solution to Problem 205 Axial Deformation
 Solution to Problem 206 Axial Deformation
 Solution to Problem 207 Axial Deformation
 Solution to Problem 208 Axial Deformation
 Solution to Problem 209 Axial Deformation
 Solution to Problem 210 Axial Deformation
 Solution to Problem 211 Axial Deformation
 Solution to Problem 212 Axial Deformation
 Solution to Problem 213 Axial Deformation
 Solution to Problem 214 Axial Deformation
 Solution to Problem 215 Axial Deformation
 Solution to Problem 216 Axial Deformation
 Solution to Problem 217 Axial Deformation
 Solution to Problem 218 Axial Deformation
 Solution to Problem 219 Axial Deformation

Shearing Deformation
 Solution to Problem 222 Poisson's Ratio
 Solution to Problem 223 Triaxial Deformation
 Solution to Problem 224 Triaxial Deformation
 Solution to Problem 225 Biaxial Deformation
 Solution to Problem 226 Biaxial Deformation
 Solution to Problem 227 Biaxial Deformation
 Solution to Problem 228 Biaxial Deformation

Statically Indeterminate Members
 Solution to Problem 233 Statically Indeterminate
 Solution to Problem 234 Statically Indeterminate
 Solution to Problem 235 Statically Indeterminate
 Solution to Problem 236 Statically Indeterminate
 Solution to Problem 237 Statically Indeterminate
 Solution to Problem 238 Statically Indeterminate
 Solution to Problem 239 Statically Indeterminate
 Solution to Problem 240 Statically Indeterminate
 Solution to Problem 241 Statically Indeterminate
 Solution to Problem 242 Statically Indeterminate
 Solution to Problem 243 Statically Indeterminate
 Solution to Problem 244 Statically Indeterminate
 Solution to Problem 245 Statically Indeterminate
 Solution to Problem 246 Statically Indeterminate
 Solution to Problem 247 Statically Indeterminate
 Solution to Problem 248 Statically Indeterminate
 Solution to Problem 249 Statically Indeterminate
 Solution to Problem 250 Statically Indeterminate
 Solution to Problem 251 Statically Indeterminate
 Solution to Problem 252 Statically Indeterminate
 Solution to Problem 253 Statically Indeterminate
 Solution to Problem 254 Statically Indeterminate
 Solution to Problem 255 Statically Indeterminate
 Solution to Problem 256 Statically Indeterminate
 Solution to Problem 257 Statically Indeterminate

Thermal Stress
 Solution to Problem 261 Thermal Stress
 Solution to Problem 262 Thermal Stress
 Solution to Problem 263 Thermal Stress
 Solution to Problem 264 Thermal Stress
 Solution to Problem 265 Thermal Stress
 Solution to Problem 266 Thermal Stress
 Solution to Problem 267 Thermal Stress
 Solution to Problem 268 Thermal Stress
 Solution to Problem 269 Thermal Stress
 Solution to Problem 270 Thermal Stress
 Solution to Problem 271 Thermal Stress
 Solution to Problem 272 Thermal Stress
 Solution to Problem 273 Thermal Stress
 Solution to Problem 274 Thermal Stress
 Solution to Problem 275 Thermal Stress
 Solution to Problem 276 Thermal Stress

Chapter 03  Torsion

Torsion
 304 Maximum Shearing Stress and Angle of Twist of a Steel Shaft
 305 Minimum Diameter of Steel Shaft With Allowable Angle of Twist
 306 Maximum Shearing Stress of Marine Propeller Shaft
 307 Power Transmitted by Solid Steel Shaft of Unknown Diameter
 308 Maximum Horsepower That Can be Transmitted by Steel Shaft
 309 Finding the Diameter of a Propeller Shaft Transmitting a Power
 310 Strength Comparison of Hollow and Solid Steel Shafts of Equal Outside Diameters
 311 Aluminum Shaft Loaded by Multiple Torques Applied at Gears
 312 Deformation of Flexible Shaft Made From Steel Wire Encased in Stationary Tube
 313 Maximum Torque That Can be Applied to a Hollow Steel Shaft
 314 Maximum Shear and Relative Gear Rotation of a Compound Steel Shaft
 315 Power Applied and Removed at Shaft Gears
 316 Permissible Torque That Can Be Applied to a Compound Shaft
 Solution to Problem 317 Torsion
 Solution to Problem 318 Torsion
 Solution to Problem 319 Torsion
 Solution to Problem 320 Torsion
 Solution to Problem 321 Torsion
 Solution to Problem 322 Torsion
 Solution to Problem 323 Torsion
 Solution to Problem 324 Torsion
 Solution to Problem 325 Torsion

Flanged bolt couplings
 Solution to Problem 326  Flanged bolt couplings
 Solution to Problem 327  Flanged bolt couplings
 Solution to Problem 328  Flanged bolt couplings
 Solution to Problem 329  Flanged bolt couplings
 Solution to Problem 330  Flanged bolt couplings
 Solution to Problem 331  Flanged bolt couplings
 Solution to Problem 332  Flanged bolt couplings
 Solution to Problem 333  Flanged bolt couplings
 Solution to Problem 334  Flanged bolt couplings
 Solution to Problem 335  Flanged bolt couplings
 Torsion of Thinwalled Tube

Helical Springs
 Solution to Problem 343  Helical Springs
 Solution to Problem 344  Helical Springs
 Solution to Problem 345  Helical Springs
 Solution to Problem 346  Helical Springs
 Solution to Problem 347  Helical Springs
 Solution to Problem 348  Helical Springs
 Solution to Problem 349  Helical Springs
 Solution to Problem 350  Helical Springs

Torsion

Chapter 04  Shear and Moment in Beams

Shear and Moment Diagrams
 Solution to Problem 403  Shear and Moment Diagrams
 Solution to Problem 404  Shear and Moment Diagrams
 Solution to Problem 405  Shear and Moment Diagrams
 Solution to Problem 406  Shear and Moment Diagrams
 Solution to Problem 407  Shear and Moment Diagrams
 Solution to Problem 408  Shear and Moment Diagrams
 Solution to Problem 409  Shear and Moment Diagrams
 Solution to Problem 410  Shear and Moment Diagrams
 Solution to Problem 411  Shear and Moment Diagrams
 Solution to Problem 412  Shear and Moment Diagrams
 Solution to Problem 413  Shear and Moment Diagrams
 Solution to Problem 413  Shear and Moment Diagrams
 Solution to Problem 414  Shear and Moment Diagrams
 Solution to Problem 415  Shear and Moment Diagrams
 Solution to Problem 416  Shear and Moment Diagrams
 Solution to Problem 417  Shear and Moment Diagrams
 Solution to Problem 418  Shear and Moment Diagrams
 Solution to Problem 419  Shear and Moment Diagrams
 Solution to Problem 420  Shear and Moment Diagrams
 Solution to Problem 421  Shear and Moment Equations
 Solution to Problem 422  Shear and Moment Equations

Relationship Between Load, Shear, and Moment
 Solution to Problem 425  Relationship Between Load, Shear, and Moment
 Solution to Problem 426  Relationship Between Load, Shear, and Moment
 Solution to Problem 427  Relationship Between Load, Shear, and Moment
 Solution to Problem 428  Relationship Between Load, Shear, and Moment
 Solution to Problem 429  Relationship Between Load, Shear, and Moment
 Solution to Problem 430  Relationship Between Load, Shear, and Moment
 Solution to Problem 431  Relationship Between Load, Shear, and Moment
 Solution to Problem 432  Relationship Between Load, Shear, and Moment
 Solution to Problem 433  Relationship Between Load, Shear, and Moment
 Solution to Problem 434  Relationship Between Load, Shear, and Moment
 Solution to Problem 435  Relationship Between Load, Shear, and Moment
 Solution to Problem 436  Relationship Between Load, Shear, and Moment
 Solution to Problem 437  Relationship Between Load, Shear, and Moment
 Solution to Problem 438  Relationship Between Load, Shear, and Moment
 Solution to Problem 439  Relationship Between Load, Shear, and Moment
 Solution to Problem 440  Relationship Between Load, Shear, and Moment
 Solution to Problem 441  Relationship Between Load, Shear, and Moment
 Solution to Problem 442  Relationship Between Load, Shear, and Moment
 Solution to Problem 443  Relationship Between Load, Shear, and Moment
 Solution to Problem 444  Relationship Between Load, Shear, and Moment
 Solution to Problem 445  Relationship Between Load, Shear, and Moment
 Solution to Problem 446  Relationship Between Load, Shear, and Moment

Load and moment diagrams for a given shear diagram
 Solution to Problem 447  Relationship Between Load, Shear, and Moment
 Solution to Problem 448  Relationship Between Load, Shear, and Moment
 Solution to Problem 449  Relationship Between Load, Shear, and Moment
 Solution to Problem 450  Relationship Between Load, Shear, and Moment
 Solution to Problem 451  Relationship Between Load, Shear, and Moment
 Moving Loads

Shear and Moment Diagrams

Chapter 05  Stresses in Beams

Flexure Formula
 Solution to Problem 503  Flexure Formula
 Solution to Problem 504  Flexure Formula
 Solution to Problem 505  Flexure Formula
 Solution to Problem 506  Flexure Formula
 Solution to Problem 507  Flexure Formula
 Solution to Problem 508  Flexure Formula
 Solution to Problem 509  Flexure Formula
 Solution to Problem 510  Flexure Formula
 Solution to Problem 511  Flexure Formula
 Solution to Problem 512  Flexure Formula
 Solution to Problem 513  Flexure Formula
 Solution to Problem 514  Flexure Formula
 Solution to Problem 515  Flexure Formula
 Solution to Problem 516  Flexure Formula
 Solution to Problem 517  Flexure Formula
 Solution to Problem 518  Flexure Formula
 Solution to Problem 519  Flexure Formula
 Solution to Problem 520  Flexure Formula
 Solution to Problem 521  Flexure Formula
 Solution to Problem 522  Flexure Formula
 Solution to Problem 523  Flexure Formula
 Solution to Problem 524  Flexure Formula
 Solution to Problem 525  Flexure Formula
 Solution to Problem 526  Flexure Formula
 Solution to Problem 527  Flexure Formula

Economic Sections
 Solution to Problem 529  Economic Sections
 Solution to Problem 530  Economic Sections
 Solution to Problem 531  Economic Sections
 Solution to Problem 532  Economic Sections
 Solution to Problem 533  Economic Sections
 Solution to Problem 534  Economic Sections
 Solution to Problem 535  Economic Sections
 Solution to Problem 536  Economic Sections
 Floor Framing

Unsymmetrical Beams
 Solution to Problem 548  Unsymmetrical Beams
 Solution to Problem 549  Unsymmetrical Beams
 Solution to Problem 550  Unsymmetrical Beams
 Solution to Problem 551  Unsymmetrical Beams
 Solution to Problem 552  Unsymmetrical Beams
 Solution to Problem 553  Unsymmetrical Beams
 Solution to Problem 554  Unsymmetrical Beams
 Solution to Problem 555  Unsymmetrical Beams
 Solution to Problem 556  Unsymmetrical Beams
 Solution to Problem 557  Unsymmetrical Beams
 Solution to Problem 558  Unsymmetrical Beams
 Superimposed or Builtup Beams

Horizontal Shearing Stress
 Solution to Problem 567  Horizontal Shearing Stress
 Solution to Problem 568  Horizontal Shearing Stress
 Solution to Problem 569  Horizontal Shearing Stress
 Solution to Problem 570  Horizontal Shearing Stress
 Solution to Problem 571  Horizontal Shearing Stress
 Solution to Problem 572  Horizontal Shearing Stress
 Solution to Problem 573  Horizontal Shearing Stress
 Solution to Problem 574  Horizontal Shearing Stress
 Solution to Problem 575  Horizontal Shearing Stress
 Solution to Problem 576  Horizontal Shearing Stress
 Solution to Problem 577  Horizontal Shearing Stress

Design for Flexure and Shear
 Solution to Problem 580  Design for Flexure and Shear
 Solution to Problem 581  Design for Flexure and Shear
 Solution to Problem 582  Design for Flexure and Shear
 Solution to Problem 583  Design for Flexure and Shear
 Solution to Problem 584  Design for Flexure and Shear
 Solution to Problem 585  Design for Flexure and Shear
 Solution to Problem 586  Design for Flexure and Shear
 Solution to Problem 587  Design for Flexure and Shear
 Solution to Problem 588  Design for Flexure and Shear
 Solution to Problem 589  Design for Flexure and Shear
 Solution to Problem 590  Design for Flexure and Shear

Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 592  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 593  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 594  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 595  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 596  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 597  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 598  Spacing of Rivets or Bolts in BuiltUp Beams
 Solution to Problem 599  Spacing of Rivets or Bolts in BuiltUp Beams

Flexure Formula

Chapter 06  Beam Deflections

Double Integration Method  Beam Deflections
 Solution to Problem 605  Double Integration Method
 Solution to Problem 606  Double Integration Method
 Solution to Problem 607  Double Integration Method
 Solution to Problem 608  Double Integration Method
 Solution to Problem 609  Double Integration Method
 Solution to Problem 610  Double Integration Method
 Solution to Problem 611  Double Integration Method
 Solution to Problem 612  Double Integration Method
 Solution to Problem 613  Double Integration Method
 Solution to Problem 614  Double Integration Method
 Solution to Problem 615  Double Integration Method
 Solution to Problem 616  Double Integration Method
 Solution to Problem 617  Double Integration Method
 Solution to Problem 618  Double Integration Method
 Solution to Problem 619  Double Integration Method
 Solution to Problem 620  Double Integration Method
 Solution to Problem 621  Double Integration Method

Moment Diagram by Parts
 Solution to Problem 624  Moment Diagram by Parts
 Solution to Problem 625  Moment Diagram by Parts
 Solution to Problem 626  Moment Diagram by Parts
 Solution to Problem 627  Moment Diagram by Parts
 Solution to Problem 628  Moment Diagrams by Parts
 Solution to Problem 629  Moment Diagrams by Parts
 Solution to Problem 630  Moment Diagrams by Parts
 Solution to Problem 631  Moment Diagrams by Parts
 Solution to Problem 632  Moment Diagrams by Parts

AreaMoment Method  Beam Deflections

Deflection of Cantilever and Simply Supported Beams  AreaMoment Method
 Solution to Problem 636  Deflection of Cantilever Beams
 Solution to Problem 637  Deflection of Cantilever Beams
 Solution to Problem 638  Deflection of Cantilever Beams
 Solution to Problem 639  Deflection of Cantilever Beams
 Solution to Problem 640  Deflection of Cantilever Beams
 Solution to Problem 641  Deflection of Cantilever Beams
 Solution to Problem 642  Deflection of Cantilever Beams
 Solution to Problem 643  Deflection of Cantilever Beams
 Solution to Problem 644  Deflection of Cantilever Beams
 Solution to Problem 645  Deflection of Cantilever Beams
 Solution to Problem 646  Deflection of Cantilever Beams
 Solution to Problem 647  Deflection of Cantilever Beams
 Solution to Problem 648  Deflection of Cantilever Beams
 Solution to Problem 653  Deflections in Simply Supported Beams
 Solution to Problem 654  Deflections in Simply Supported Beams
 Solution to Problem 655  Deflections in Simply Supported Beams
 Solution to Problem 656  Deflections in Simply Supported Beams
 Solution to Problem 657  Deflections in Simply Supported Beams
 Solution to Problem 658  Deflections in Simply Supported Beams
 Solution to Problem 659  Deflections in Simply Supported Beams
 Solution to Problem 660  Deflections in Simply Supported Beams
 Solution to Problem 661  Deflections in Simply Supported Beams
 Solution to Problem 662  Deflections in Simply Supported Beams
 Solution to Problem 663  Deflections in Simply Supported Beams
 Solution to Problem 664  Deflections in Simply Supported Beams
 Solution to Problem 665  Deflections in Simply Supported Beams
 Solution to Problem 666  Deflections in Simply Supported Beams
 Solution to Problem 667  Deflections in Simply Supported Beams
 Solution to Problem 668  Deflections in Simply Supported Beams
 Solution to Problem 669  Deflections in Simply Supported Beams
 Solution to Problem 670  Deflections in Simply Supported Beams
 Solution to Problem 673  Midspan Deflection
 Solution to Problem 674  Midspan Deflection
 Solution to Problem 675  Midspan Deflection
 Solution to Problem 676  Midspan Deflection
 Solution to Problem 677  Midspan Deflection
 Solution to Problem 678  Midspan Deflection
 Solution to Problem 679  Midspan Deflection
 Solution to Problem 680  Midspan Deflection
 Solution to Problem 681  Midspan Deflection

Deflection of Cantilever and Simply Supported Beams  AreaMoment Method

Method of Superposition  Beam Deflection
 Solution to Problem 685  Beam Deflection by Method of Superposition
 Solution to Problem 686  Beam Deflection by Method of Superposition
 Solution to Problem 687  Beam Deflection by Method of Superposition
 Solution to Problem 688  Beam Deflection by Method of Superposition
 Solution to Problem 689  Beam Deflection by Method of Superposition
 Solution to Problem 690  Beam Deflection by Method of Superposition
 Solution to Problem 691  Beam Deflection by Method of Superposition
 Solution to Problem 692  Beam Deflection by Method of Superposition
 Solution to Problem 693  Beam Deflection by Method of Superposition
 Solution to Problem 694695  Beam Deflection by Method of Superposition
 Solution to Problem 696697  Beam Deflection by Method of Superposition

Conjugate Beam Method  Beam Deflection
 Problem 653  Beam Deflection by Conjugate Beam Method
 Problem 654  Beam Deflection by Conjugate Beam Method
 Problem 655  Beam Deflection by Conjugate Beam Method
 Problem 656  Beam Deflection by Conjugate Beam Method
 Problem 657  Beam Deflection by Conjugate Beam Method
 Problem 658  Beam Deflection by Conjugate Beam Method
 Strain Energy Method  Beam Deflection

Double Integration Method  Beam Deflections

Chapter 07  Restrained Beams

Application of Double Integration and Superposition Methods to Restrained Beams
 Problem 704  Solution of Propped Beam
 Problem 705  Solution of Propped Beam with Increasing Load
 Problem 706  Solution of Propped Beam with Decreasing Load
 Problem 707  Propped Beam with Moment Load
 Problem 708  Two Indentical Cantilever Beams
 Problem 709  Propped Beam with Spring Support
 Problem 710  Two simple beams at 90 degree to each other
 Problem 711  Cantilever beam with free end on top of a simple beam
 Problem 712  Propped beam with initial clearance at the roller support
 Problem 713  Fully restrained beam with symmetrically placed concentrated loads
 Problem 714  Triangular load over the entire span of fully restrained beam
 Problem 715  Distributed loads placed symmetrically over fully restrained beam

Application of AreaMoment Method to Restrained Beams
 Problem 704  Propped beam with some uniform load by momentarea method
 Problem 707  Propped beam with moment load at simple support by momentarea method
 Problem 720  Propped beam with increasing load by momentarea method
 Problem 721  Propped beam with decreasing load by momentarea method
 Problem 722  Propped beam with moment load on the span by areamoment method
 Problem 723  Propped beam with uniform load over half the span
 Problem 724  Propped beam with partially restrained wall support
 Problem 725  Propped beam with partially restrained wall and settling simple support
 Problem 726  Fully restrained beam with concentrated load at midspan
 Problem 727  Fully restrained beam with uniform load over the entire span
 Problem 728  Isosceles triangular load over the entire span of fully restrained beam
 Problem 729  Uniform load over the center part of fixedended beam
 Problem 730  Uniform loads at each end of fully restrained beam
 Problem 731  Cantilever beam supported by cable at the freeend
 Problem 732  Cantilever beam supported by a cable at midspan
 Problem 733  Cantilever beam with moment load at the free end and supported by a rod at midspan
 Problem 734  Restrained beam with uniform load over half the span
 Problem 735  Fixedended beam with one end not fully restrained
 Problem 736  Shear and moment diagrams of fully restrained beam under triangular load
 Problem 737  Fully restrained beam with one support settling
 Problem 738  Fully restrained beam with moment load

Application of Double Integration and Superposition Methods to Restrained Beams

Chapter 08  Continuous Beams

The ThreeMoment Equation
 Problem 813  Continuous Beam by ThreeMoment Equation
 Problem 814  Continuous Beam by ThreeMoment Equation
 Problem 815  Continuous Beam by ThreeMoment Equation
 Problem 816  Continuous Beam by ThreeMoment Equation
 Problem 817  Continuous Beam by ThreeMoment Equation
 Problem 818  Continuous Beam by ThreeMoment Equation
 Problem 819  Continuous Beam by ThreeMoment Equation
 Problem 820  Continuous Beam by ThreeMoment Equation
 Problem 821  Continuous Beam by ThreeMoment Equation
 Problem 822  Continuous Beam by ThreeMoment Equation
 Problem 823  Continuous Beam by ThreeMoment Equation
 Problem 824  Continuous Beam by ThreeMoment Equation
 Problem 825  Continuous Beam by ThreeMoment Equation
 Problem 826  Continuous Beam by ThreeMoment Equation
 Problem 827  Continuous Beam by ThreeMoment Equation

Reactions of Continuous Beams  Shear Diagrams
 Problem 829  Reactions of Continuous Beams
 Problem 830  Reactions of Continuous Beams
 Problem 831  Reactions of Continuous Beams
 Problem 832  Reactions of Continuous Beams
 Problem 833  Reactions of Continuous Beams
 Problem 834  Reactions of Continuous Beams
 Problem 835  Reactions of Continuous Beams
 Problem 836  Reactions of Continuous Beams

Continuous Beams with Fixed Ends
 Problem 840  Continuous Beams with Fixed Ends
 Problem 841  Continuous Beams with Fixed Ends
 Problem 842  Continuous Beams with Fixed Ends
 Problem 843  Continuous Beams with Fixed Ends
 Problem 844  Continuous Beams with Fixed Ends
 Problem 845  Continuous Beams with Fixed Ends
 Problem 846  Continuous Beams with Fixed Ends
 Problem 847  Continuous Beams with Fixed Ends
 Problem 848  Continuous Beams with Fixed Ends
 Problem 849  Continuous Beams with Fixed Ends
 Problem 850  Continuous Beams with Fixed Ends
 Problem 851  Continuous Beams with Fixed Ends
 Problem 852  Continuous Beams with Fixed Ends
 Problem 852  Continuous Beams with Fixed Ends
 Problem 853  Continuous Beams with Fixed Ends
 Problem 854  Continuous Beams with Fixed Ends
 Problem 855  Continuous Beams with Fixed Ends
 Problem 856  Continuous Beams with Fixed Ends

Deflections Determined by ThreeMoment Equation
 Problem 860  Deflection by ThreeMoment Equation
 Problem 861  Deflection by ThreeMoment Equation
 Problem 862  Deflection by ThreeMoment Equation
 Problem 863  Deflection by ThreeMoment Equation
 Problem 864  Deflection by ThreeMoment Equation
 Problem 865  Deflection by ThreeMoment Equation
 Problem 866  Deflection by ThreeMoment Equation
 Problem 867  Deflection by ThreeMoment Equation
 Problem 868  Deflection by ThreeMoment Equation
 Problem 869  Deflection by ThreeMoment Equation
 Problem 870  Beam Deflection by ThreeMoment Equation
 Problem 871  Continuous Beam with Spring EndSupport
 Problem 872  Continuous Beam with Spring EndSupport

The Moment Distribution Method
 Problem 877  Continuous Beam by Moment Distribution Method
 Problem 878  Continuous Beam by Moment Distribution Method
 Problem 879  Continuous Beam by Moment Distribution Method
 Problem 880  Continuous Beam by Moment Distribution Method
 Problem 881  Continuous Beam by Moment Distribution Method
 Problem 882  Continuous Beam by Moment Distribution Method
 Problem 883  Continuous Beam by Moment Distribution Method
 Problem 884  Continuous Beam by Moment Distribution Method
 Problem 885  Continuous Beam by Moment Distribution Method

The ThreeMoment Equation

Chapter 09  Combined Stresses

Combined Axial and Bending
 Problem 903  Combined Axial and Bending
 Problem 904  Combined Axial and Bending
 Problem 905  Combined Axial and Bending
 Problem 906  Combined Axial and Bending
 Problem 907  Combined Axial and Bending
 Problem 908  Combined Axial and Bending
 Problem 909  Combined Axial and Bending
 Problem 910  Combined Axial and Bending
 Problem 911  Combined Axial and Bending
 Problem 912  Combined Axial and Bending
 Problem 913  Combined Axial and Bending
 Problem 914  Combined Axial and Bending
 Problem 915  Combined Axial and Bending
 Problem 916  Combined Axial and Bending
 Problem 917  Combined Axial and Bending

Eccentrically Loaded Short Compression Member
 Problem 918  Stress at Each Corner of Eccentrically Loaded Rectangular Section
 Problem 919  Additional Axial Compression Load for the Section to Carry No Tensile Stress
 Problem 920  Additional Centroidal Load to Eliminate Tensile Stress Anywhere Over the Cross Section
 Problem 921  Kern Area of a Wide Flange Section: W360 x 122
 Problem 01  Stress in Helical Spring

Combined Axial and Bending

Chapter 10  Reinforced Beams

Beams of Different Materials
 Problem 1002  Increase in moment capacity due to steel plate reinforcement
 Problem 1003  Maximum stresses in wood and steel of composite beam
 Problem 1004  Increase in moment capacity due to aluminum plate reinforcement
 Problem 1005  Maximum concentrated load at the midspan that the reinforced timber beam can carry
 Problem 1006  Width of fastened steel plate for balanced reinforcement
 Problem 1007  Flexural stresses developed in the wood and steel fibers
 Problem 1008  Finding the width of steel plate reinforcement
 Problem 1009  Width of aluminum plate reinforcement for the wood section to resist 14 kNm moment
 Problem 1010 and Problem 1011  Investigation of timber reinforced by two steel channels

Beams of Different Materials

Chapter 01  Simple Stresses
Login
No account yet? » Register
Can't login? » Reset your password