parallel forces

Problem 334 | Equilibrium of Parallel Force System

Problem 334
Determine the reactions for the beam loaded as shown in Fig. P-334.
 

334-point-rectangular-triangular-loads.gif

 

Problem 333 | Equilibrium of Parallel Force System

Problem 333
Determine the reactions R1 and R2 of the beam in Fig. P-333 loaded with a concentrated load of 1600 lb and a load varying from zero to an intensity of 400 lb per ft.
 

333-nagpatungay-nga-beams.gif

 

Problem 332 | Equilibrium of Parallel Force System

Problem 332
Determine the reactions for the beam shown in Fig. P-332.
 

332-beam-reaction.gif

 

Couples

Couple is a system of forces whose magnitude of the resultant is zero and yet has a moment sum. Geometrically, couple is composed of two equal forces that are parallel to each other and acting in opposite direction. The magnitude of the couple is given by
 

$C = Fd$

 
Where $F$ are the two forces and $d$ is the moment arm, or the perpendicular distance between the forces.
 

242 Finding the unknown two forces with given resultant

Problem 242
Find the value of P and F so that the four forces shown in Fig. P-242 produce an upward resultant of 300 lb acting at 4 ft from the left end of the bar.
 

Two forces of unknown magnitude applied to horizontal lever.

 

241 Finding the resultant of vertical forces acting on the Fink truss

Problem 241
Locate the amount and position of the resultant of the loads acting on the Fink truss in Fig. P-241.
 

Parallel forces on truss joints

 

240 How to locate the centroid of metal plate with circular hole

Problem 240
The shaded area in Fig P-240 represents a steel plate of uniform thickness. A hole of 4-in. diameter has been cut in the plate. Locate the center of gravity the plate. Hint: The weight of the plate is equivalent to the weight of the original plate minus the weight of material cut away. Represent the original plate weight of plate by a downward force acting at the center of the 10 × 14 in. rectangle. Represent the weight of the material cut away by an upward force acting at the center of the circle. Locate the position of the resultant of these two forces with respect to the left edge and bottom of the plate.
 

Rectangular plate with circular hole

 

237 Finding the resultant of parallel forces acting on both sides of the rocker arm

Problem 237
Determine the resultant of the four parallel forces acting on the rocker arm of Fig. P-237.
 

Parallel forces acting on the rocker arm

 

236 Computation of the resultant of parallel forces acting on the lever

Problem 236
A parallel force system acts on the lever shown in Fig. P-236. Determine the magnitude and position of the resultant.
 

Parallel forces acting on the lever

 

Resultant of Parallel Force System

Coplanar Parallel Force System
Parallel forces can be in the same or in opposite directions. The sign of the direction can be chosen arbitrarily, meaning, taking one direction as positive makes the opposite direction negative. The complete definition of the resultant is according to its magnitude, direction, and line of action.
 

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