P8.4. For the truss in Figure P8.4, compute (a) the verti- cal displacement of joint C, (b) the horizontal displace- ment 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. A 10 kips B 6' E 15 kips P8.4 5' C 8'

P8.4. For the truss in Figure P8.4, compute (a) the verti- cal displacement of joint C, (b) the horizontal displace- ment 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. A 10 kips B 6' E 15 kips P8.4 5' C 8'

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

P8.4. For the truss in Figure P8.4, compute (a) the verti-
cal displacement of joint C, (b) the horizontal displace-
ment 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.
A
10 kips B
6'
E
5'-
15 kips
P8.4
5'-
C
8'

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Step 1: Given data and formula used

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Step 2: Determination of reaction forces from given forces on truss

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Step 3: Calculation of member force by given truss load

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Step 4: Member force calculation

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Step 5: Determination of vertical displacement at point C by unit load method

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Step 6: Deflection in vertical direction due to unit load at C by using unit load formula

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Step 7: Unit load applied at C in horizontal direction

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Step 8: Horizontal displacement of C by unit load method

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Step 9: Calculation of horizontal displacement of D by unit load method

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Step 10: Determination of horizontal displacement of D

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