Structural Analysis

The hoist supports the 125-kg engine. Determine the force the load creates in member DB and in member FB, which contains the hydraulic cylinder H.

A:

FB = 5.82 kN C, BD = 7.80 kN T

B:

FB = 1.939 kN C, BD = 2.60 kN T

C:

FB = 1.839 kN C, BD = 2.47 kN T

D:

FB = 1.839 kN C, BD = 2.60 kN T

Answer: B

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Determine the horizontal and vertical components of force at pin A.

A:

A_x = -46.7 lb, A_y = 45.0 lb

B:

A_x = -53.3 lb, A_y = 40.0 lb

C:

A_x = 13.3 lb, A_y = 10.0 lb

D:

A_x = -106.7 lb, A_y = 80.0 lb

Answer: A

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A sign is subjected to a wind loading that exerts horizontal forces of 300 lb on joints B and C of one of the side supporting trusses. Determine the force in members BC, CD, DB, and DE of the truss and state whether the members are in tension or compression.

A:

CB = 720 lb C, CD = 780 lb T, DB = 0, DE = 780 lb T

B:

CB = 720 lb T, CD = 780 lb C, DB = 0, DE = 780 lb C

C:

CB = 125 lb T, CD = 325 lb C, DB = 0, DE = 325 lb C

D:

CB = 125 lb C, CD = 325 lb T, DB = 0, DE = 325 lb T

Answer: B

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The jack shown supports a 350-kg automobile engine. Determine the compression in the hydraulic cylinder C and the magnitude of force that pin B exerts on the horizontal member BDE.

A:

F_C = 8.75 kN, F_B = 5.43 kN

B:

F_C = 5.15 kN, F_B = 5.15 kN

C:

F_C = 8.58 kN, F_B = 5.15 kN

D:

F_C = 5.25 kN, F_B = 7.36 kN

Answer: A

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The scissors lift consists of two sets of symmetrically placed cross members (one in front that is shown and one behind that is not shown) and two hydraulic cylinders (front [labeled DE] and back [not shown]). The uniform platform has a mass of 60 kg with a center of gravity at G1. The 85 kg load (center of gravity at G2) is centered front to back. Determine the force in each of the hydraulic cylinders necessary to maintain equilibrium. These are rollers at B and D.

A:

DE = 1.067 kN C

B:

DE = 1.139 kN C

C:

DE = 0.606 kN C

D:

DE = 1.207 kN C

Answer: A

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Questions for: Structural Analysis