STATICS: CE 201

Quiz Chapter 5

1.  

Compute the horizontal and vertical components of force at pin B. The belt is subjected to a tension of T=100 N and passes over each of the three pulleys.

Bx = 0 N, By = 141.4 N
Bx = -15.89 N, By = 120.7 N
Bx = 0, By = 100.0 N
Bx = 20.7 N, By = 157.3 N


2.  

Determine the horizontal and vertical components of reaction at the pin A and the reaction at the roller support B required for equilibrium of the truss.

Ax = 154.0 lb, Ay = 333 lb, NB = 308 lb
Ax = 267 lb, Ay = 223 lb, NB = 377 lb
Ax = 0, Ay = 333 lb, NB = 267 lb
Ax = 462 lb, Ay = 66.7 lb, NB = 533 lb


3.  

The oil rig is supported on the trailer by the pin or axle at A and the frame at B. If the rig has a weight of 115,000 lb and the center of gravity at G, determine the force F that must de developed along the hydraulic cylinder CD in order to start lifting the rig (slowly) off B toward the vertical. Also compute the horizontal and vertical components of reaction at the pin A.

Ax = 241 kip, Ay = -172.5 kip, FCD = 375 kip
Ax = 343 kip, Ay = -172.5 kip, FCD = 447 kip
Ax = 205 kip, Ay = -57.5 kip, FCD = 268 kip
Ax = 220 kip, Ay = -70.1 kip, FCD = 288 kip