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Draw the shear and moment diagrams for each member of the frame. Assume A is fixed and B, C and D are pins.

Draw the shear and moment diagrams for each member of the frame. Assume A is fixed and B, C and D are pins.

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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1. Draw the shear and moment diagrams for each member of the frame. Assume A is fixed and B, C and D are pins. 6 k 0.8 k/ft 3 k B 8 ft 8 ft 6 k ➜F 8 ft 3 k D 15 ft
Transcribed Image Text:1. Draw the shear and moment diagrams for each member of the frame. Assume A is fixed and B, C and D are pins. 6 k 0.8 k/ft 3 k B 8 ft 8 ft 6 k ➜F 8 ft 3 k D 15 ft
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Step 1: Determining Reactions

The given frame is shown below.

Civil Engineering homework question answer, step 1, image 1

sum for blank of M subscript C equals 0 H subscript D cross times 15 equals 0 H subscript D equals 0 sum for blank of M subscript B equals 0 space 6 cross times 8 plus 6 cross times 16 plus 3 cross times 24 minus V subscript D cross times 24 equals 0 V subscript D equals 9 space k space open parentheses upwards arrow close parentheses space sum for blank of V equals 0 V subscript A plus V subscript D equals 3 plus 6 plus 6 plus 3 space V subscript A plus 9 equals 3 plus 6 plus 6 plus 3

V subscript A equals 9 space k space open parentheses upwards arrow close parentheses sum for blank of H equals 0 0.8 cross times 15 minus H subscript A minus H subscript D equals 0 12 minus H subscript A minus 0 equals 0 H subscript A equals 12 space k space open parentheses leftwards arrow close parentheses sum for blank of M subscript D equals 0 space V subscript A cross times 24 minus M subscript A plus 0.8 cross times 15 cross times 7.5 minus 3 cross times 24 minus 6 cross times 16 minus 6 cross times 8 equals 0 space 9 cross times 24 minus M subscript A plus 0.8 cross times 15 cross times 7.5 minus 3 cross times 24 minus 6 cross times 16 minus 6 cross times 8 equals 0 M subscript A equals 90 space k. f t space open parentheses ↺ close parentheses

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