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(a) For the truss shown below, determine the vertical displacement of joint C. Take A = 150 mm² and E = 200 GPa for each member. 4 m E 4 m 24 kN 1 B 4 m 12 kN C

(a) For the truss shown below, determine the vertical displacement of joint C. Take A = 150 mm² and E = 200 GPa for each member. 4 m E 4 m 24 kN 1 B 4 m 12 kN C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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(a) For the truss shown below, determine the vertical displacement of joint C. Take A = 150 mm² and E= 200 GPa for each member. 4 m E 4 m 24 KN B 4 m 12 kN C (b) Assume that the two loads acting on the truss above have been removed and the members AB and BC experience a temperature increase of 60°C. Determine the vertical displacement of joint C for this thermal loading. Take coefficient of thermal expansion of both AB and BC as 12x10-6/°C. (c) If the truss is acted upon by the two loads and the temperature increase, determine the vertical displacement at joint C. (d) If the member BC is fabricated 10 mm too long, explain how you will determine the vertical displacement at joint C. For this case, assume that the two vertical loads and thermal load (due to temperature increase) are not present. (e) If all three loading cases (two vertical loads, thermal load and member BC too long) are present, how would you determine the vertical displacement at C.
Transcribed Image Text:(a) For the truss shown below, determine the vertical displacement of joint C. Take A = 150 mm² and E= 200 GPa for each member. 4 m E 4 m 24 KN B 4 m 12 kN C (b) Assume that the two loads acting on the truss above have been removed and the members AB and BC experience a temperature increase of 60°C. Determine the vertical displacement of joint C for this thermal loading. Take coefficient of thermal expansion of both AB and BC as 12x10-6/°C. (c) If the truss is acted upon by the two loads and the temperature increase, determine the vertical displacement at joint C. (d) If the member BC is fabricated 10 mm too long, explain how you will determine the vertical displacement at joint C. For this case, assume that the two vertical loads and thermal load (due to temperature increase) are not present. (e) If all three loading cases (two vertical loads, thermal load and member BC too long) are present, how would you determine the vertical displacement at C.
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