October 2019

Rachelle Joy Consigna's picture

Capital recover cost

A machine which costs $100,000 when new, has a lifetime of 15 years and a salvage value of 20% of its original cost. If the interest rate is 10% compounded annually, what is the capital recovery cost?

solution for the question below

write the shear moment equations for the uniform beam below and draw the shear force and bending diagrams. specify values at all change of lading positions and at points of zero shear. the beam has a weight of 2kN

JM Alvarez's picture

application of minima and maxima

Find the volume of the largest right circular cylinder that can be cut from a circular cone of radius 6cm and height 9cm?

CASIO101's picture

Solid Geometry

A regular octagon has one of its sides equal to 12 cm. if a square, which is inscribed in the octagon, is being cut out, determine the percentage of waste due to this process.

Can you help me on this po sir? I cant really figure what happened to the square.. Thanks a lot po .. Godbless!

engineering mechanics

The figure below shows a horizontal beam AB (negligible weight) that is subjected to four forces. The 100N and 20N forces are acting vertically down. The 60N and 40N forces are at an angle of 30with respect to the vertical and horizontal respectively. Find (a) the magnitude of resultant force (b) the distance of the resultant from the support A (c) The reaction forces developed at the supports A and B.

How to find the values of the following forces when it isn't given?

How to find the values of the following forces when it isn't given?

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Mechanics of fluids

The flow rate of water through the turbine shown is 0.20 m^3/s and the pressure at points 1 and 2 are 150KPa and -35KPa. Determine the power generated by the turbine.

Situation
A simply supported steel beam spans 9 m. It carries a uniformly distributed load of 10 kN/m, beam weight already included.

Given Beam Properties:
Area = 8,530 mm2
Depth = 306 mm
Flange Width = 204 mm
Flange Thickness = 14.6 mm
Moment of Inertia, Ix = 145 × 106 mm4
Modulus of Elasticity, E = 200 GPa

1.   What is the maximum flexural stress (MPa) in the beam?

A.   107 C.   142
B.   54 D.   71

2.   To prevent excessive deflection, the beam is propped at midspan using a pipe column. Find the resulting axial stress (MPa) in the column

Given Column Properties:
Outside Diameter = 200 mm
Thickness = 10 mm
Height, H = 4 m
Modulus of Elasticity, E = 200 GPa
A.   4.7 C.   18.8
B.   9.4 D.   2.8

3.   How much is the maximum bending stress (MPa) in the propped beam?

A.   26.7 C.   15.0
B.   17.8 D.   35.6

 

Situation
A cantilever beam, 3.5 m long, carries a concentrated load, P, at mid-length.

Given:
P = 200 kN
Beam Modulus of Elasticity, E = 200 GPa
Beam Moment of Inertia, I = 60.8 × 106 mm4

 

2018-nov-design-cantilever-beam-given.jpg

 

1.   How much is the deflection (mm) at mid-length?

A.   1.84 C.   23.50
B.   29.40 D.   14.70

2.   What force (kN) should be applied at the free end to prevent deflection?

A.   7.8 C.   62.5
B.   41.7 D.   100.0

3.   To limit the deflection at mid-length to 9.5 mm, how much force (kN) should be applied at the free end?

A.   54.1 C.   129.3
B.   76.8 D.   64.7

 

Situation
A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of 21.5 kN/m.
1.   To prevent excessive deflection, a support is added at midspan. Calculate the resulting moment (kN·m) at the added support.

A.   64.5 C.   258.0
B.   96.8 D.   86.0

2.   Calculate the resulting maximum positive moment (kN·m) when a support is added at midspan.

A.   96.75 C.   108.84
B.   54.42 D.   77.40

3.   Calculate the reaction (kN) at the added support.

A.   48.38 C.   161.2
B.   96.75 D.   80.62

 

How to Solve Newton's Law of Cooling

Hello, do you have any solved difficult sample problems about Newton's law of cooling for practice?