(a) For the truss shown below, determine the vertical displacement of joint C. Take A = 150mm² and E= 200 GPa for each member.4 mE4 m24 KNB4 m12 kNC(b) Assume that the two loads acting on the truss above have been removed and the membersAB and BC experience a temperature increase of 60°C. Determine the verticaldisplacement of joint C for this thermal loading. Take coefficient of thermal expansion ofboth AB and BC as 12x10-6/°C.(c) If the truss is acted upon by the two loads and the temperature increase, determine thevertical displacement at joint C.(d) If the member BC is fabricated 10 mm too long, explain how you will determine thevertical displacement at joint C. For this case, assume that the two vertical loads andthermal load (due to temperature increase) are not present.(e) If all three loading cases (two vertical loads, thermal load and member BC too long) arepresent, how would you determine the vertical displacement at C.

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Answered: (a) For the truss shown below,…

(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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

100%

(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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