Answered: Use the stiffness method to determine…

Use the stiffness method to determine the rotations at all nodes and reactions at supports. Assume support 1 and 3 are rollers and support 2 is pinned. EI is constant. w = 40 kNm L1 = 5.5m L2 = 11m

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

Use the stiffness method to determine the rotations at all nodes and reactions at supports.

Assume support 1 and 3 are rollers and support 2 is pinned.

EI is constant.

w = 40 kNm

L1 = 5.5m

L2 = 11m

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Step 1: Given

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Step 2: Kinematic indeterminacy

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Step 3: Stiffness matrix (Part-1)

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Step 4: Stiffness matrix (Part-2)

VIEW

Step 5: Stiffness matrix (Part-3)

VIEW

Step 6: Assemblage of stiffness matrix

VIEW

Step 7: Joint displacement

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Step 8: Support moments

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Step 9: Support reactions

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Solution

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