Answered: For the support beam with…

For the support beam with pinned-rollers and the indicated loading b) Solving for unknown DOF and reaction forces using the finite element method.

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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Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

For the support beam with pinned-rollers and the indicated loading

b) Solving for unknown DOF and reaction forces using the finite element method.

A
64 kNm
C
-2 m-
D
-2 m-
24 kN/m
-2 m-
B
I
S250 × 52

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Step 1: Introduce the problem statement

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Step 2: Determine the Kinematic Indeterminacy of the beam

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Step 3: Formulate the stiffness matrix (Unit displacement at 1)

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Step 4: Formulate the stiffness matrix (Unit displacement at 2)

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Step 5: Formulate the stiffness matrix (Unit displacement at 3)

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Step 6: Formulate the stiffness matrix (Unit displacement at 4)

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Step 7: Formulate stiffness matrix, Load vector

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Step 8: Determine Joint Displacement

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Step 9: Determine support reactions

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Solution

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