Structural Analysis

Compute the force in each member of the Warren truss and indicate whether the members are in tension or compression. All the members are 3 m long.

A:

AB = CD = 8.00 kN C, AE = DE = 6.92 kN T, BE = CE = 8.00 kN T, BC = 6.92 kN C

B:

AB = CD = 4.62 kN C, AE = DE = 2.31 kN T, BE = CE = 4.62 kN T, BC = 2.31 kN C

C:

AB = CD = 8.00 kN T, AE = DE = 6.92 kN C, BE = CE = 8.00 kN C, BC = 6.92 kN T

D:

AB = CD = 4.62 kN T, AE = DE = 2.31 kN C, BE = CE = 4.62 kN C, BC = 2.31 kN T

Answer: B

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The Pratt bridge truss is subjected to the loading shown. Determine the force in members CD, CL and ML, and indicate whether these members are in tension or compression.

A:

CL = 100 kN T, ML = 150 kN T, CD = 150 kN C

B:

CL = 50 kN C, ML = 112.5 kN C, CD = 112.5 kN T

C:

CL = 100 kN C, ML = 150 kN C, CD = 150 kN T

D:

CL = 50 kN T, ML = 112.5 kN T, CD = 112.5 kN C

Answer: B

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A tower used in an electrical substation supports a power line which exerts a horizontal tension of T = 500 lb on each side truss of the tower as shown. Determine the force in members BC, CM, and LM of a side truss and indicate whether the members are in tension or compression.

A:

CM = 833 lb T, CB = 3330 lb C, LM = 2670 lb T

B:

CM = 581 lb T, CB = 2050 lb C, LM = 2000 lb T

C:

CM = 325 lb T, CB = 3040 lb C, LM = 2670 lb T

D:

CM = 58 lb T, CB = 1646 lb C, LM = 1600 lb T

Answer: A

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Determine the horizontal and vertical components of force at pins A and C of the two-member frame.

A:

A_x = -212 N, A_y = 388 N, C_x = 212 N, C_y = 212 N

B:

A_x = -300 N, A_y = 300 N, C_x = 300 N, C_y = 300 N

C:

A_x = -849 N, A_y = 149 N, C_x = 849 N, C_y = 849 N

D:

A_x = -1200 N, A_y = 1200 N, C_x = 1200 N, C_y = -600 N

Answer: B

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The Warren truss is used to support a staircase. Determine the force in members CE, ED, and DF, and state whether the members are in tension or compression. Assume all joints are pinned.

A:

ED = 3.60 kN T, DF = 1.70 kN C, CE = 6.22 kN C

B:

ED = 2.00 kN C, DF = 2.26 kN C, CE = 2.26 kN T

C:

ED = 0.800 kN C, DF = 1.131 kN T, CE = 2.83 kN C

D:

ED = 0.400 kN C, DF = 2.26 kN T, CE = 4.53 kN C

Answer: D

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Questions for: Structural Analysis