For the indeterminate beam shown, determine the fixed end moments (FEM's). FEMAB andFEMBA. Show that OA = @B = PLA2/9El and then use these results in the two compatibilityequations to find the FEM's. (Ans: FEMAB = FEMBA = 2PL/9)PPAL/3LܐܐܢܘLP 4₂ fL/

Given:Required:Fixed end moment

For the indeterminate beam shown, determine the fixed end moments (FEM's). FEMAB and FEMBA. Show that ©A = ©B = PL^2/9EI and then use these results in the two compatibility equations to find the FEM’s. (Ans: FEMAB = FEMBA = 2PL/9 ) P A 43 L/2 L/3 P لحليم P L/3 1/3

For the indeterminate beam shown, determine the fixed end moments (FEM's). FEMAB and FEMBA. Show that ©A = ©B = PL^2/9EI and then use these results in the two compatibility equations to find the FEM’s. (Ans: FEMAB = FEMBA = 2PL/9 ) P A 43 L/2 L/3 P لحليم P L/3 1/3

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 indeterminate beam shown, determine the fixed end moments (FEM's). FEMAB and
FEMBA. Show that OA = @B = PLA2/9El and then use these results in the two compatibility
equations to find the FEM's. (Ans: FEMAB = FEMBA = 2PL/9)
P
P
A
L/3
L
ܐܐܢ
ܘ
L
P 4₂ f
L/

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Step 1: State the given data

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Step 2: Considering redundant reaction

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Step 3: Slope and displacement expression for primary structure

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Step 4: Slope at supports in primary structure

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Step 5: Slope at A in redundant structure

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Step 6: Compatibility condition and fixed end moment

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