P8.5. For the truss in Figure P8.5, compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.², and members AE, ED, BE, and CE have area = 0.25 in.2, and E= 10,000 ksi.

P8.5. For the truss in Figure P8.5, compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.², and members AE, ED, BE, and CE have area = 0.25 in.2, and E= 10,000 ksi.

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

P8.5. For the truss in Figure P8.5, compute (a) the vertical displacement of joint C, (b) the horizontal displacement of joint C, and (c) the horizontal displacement of joint D. Members AB, BC, and CD have area = 1 in.²,
and members AE, ED, BE, and CE have area = 0.25 in.2, and E= 10,000 ksi.

10 kips B
6′
-5'-
15 kips
P8.5
-5'-
6'-
D
8'

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Step 2: Evaluate member forces due to external load

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Step 3: Evaluate member forces due to external load

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Step 4: Evaluate member forces due to external load

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Step 5: Evaluate member forces due to unit horizontal load at C (k1 forces)

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Step 6: Evaluate member forces due to unit vertical load at C (k2 forces)

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Step 7: Evaluate member forces due to unit horizontal load at D (k3 forces)

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Step 8: Determine horizontal displacement at C

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Step 9: Determine vertical displacement at C

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Step 10: Determine horizontal displacement at D

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