Draw the Shear and Moment Diagrams and the Deflected Shape. 2.5 kips/ft15 kipsCDAВ2006 ft3 ft6 ft

Calculate the reaction: RA+RB=2.5×6+15…

Answered: Draw the Shear and Moment Diagrams and…

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

Draw the Shear and Moment Diagrams and the Deflected Shape.

2.5 kips/ft
15 kips
C
D
A
В
200
6 ft
3 ft
6 ft

Expert Solution

Step 1-Calculate the reaction,moment

Calculate the reaction:

$R_{A} + R_{B} = 2.5 \times 6 + 15 = 30 k i p s \in M_{A} = 0 2.5 \times 6 \times 3 + 15 \times 9 = R_{B} \times 15 R_{B} = 12 k i p s R_{A} = 18 k i p s H e n c e, T h e v e r t i c a l a t A V_{A} = 18 k i p s V_{C} = 18 - (2.5 \times 6) V_{C} = 3 k i p s V_{D} = - 12 k i p s C o n s i d e r M_{A} = 0 M_{C} = (18 \times 6) - (2.5 \times 6 \times 3) M_{C} = 63 k i p s f t M_{D} = 12 \times 6 M_{D} = 72 k i p s f t M_{B} = 0 V_{m a x} = 18 k i p s M_{m a x} = 72 k i p s$

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