INSTRUCTIONS: (1) Analyze the shown indeterminate beam by the slope deflection method. Be guided as follows: a. Determine the degree of kinematic indeterminacy. b. Compute the fixed end moments. c. Construct the modified slope deflection equations. d. Construct the joint equilibrium equations. e. Compute the unknown rotations (0/EI). f. Compute the member end moments g. Compute reactions at supports h. Draw shear and moment diagrams EI 2EI EI Members AB, BC, CD have the same lengthL = 5 m Flexural rigidities are El, 2EI, El respectively. Concentrated load of magnitude P = 5 KN acts at a distance a = 1 m from the support A. Uniform load of intensity q = 5 KN/m acts on Bc. Member CD is loaded at its midspan with a concentrated load of magnitude P = 5 KN

INSTRUCTIONS: (1) Analyze the shown indeterminate beam by the slope deflection method. Be guided as follows: a. Determine the degree of kinematic indeterminacy. b. Compute the fixed end moments. c. Construct the modified slope deflection equations. d. Construct the joint equilibrium equations. e. Compute the unknown rotations (0/EI). f. Compute the member end moments g. Compute reactions at supports h. Draw shear and moment diagrams EI 2EI EI Members AB, BC, CD have the same lengthL = 5 m Flexural rigidities are El, 2EI, El respectively. Concentrated load of magnitude P = 5 KN acts at a distance a = 1 m from the support A. Uniform load of intensity q = 5 KN/m acts on Bc. Member CD is loaded at its midspan with a concentrated load of magnitude P = 5 KN

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

INSTRUCTIONS:
(1) Analyze the shown indeterminate beam by the slope deflection method.
Be guided as follows:
a. Determine the degree of kinematic indeterminacy.
b. Compute the fixed end moments.
c. Construct the modified slope deflection equations.
d. Construct the joint equilibrium equations.
e. Compute the unknown rotations (0/EI).
f. Compute the member end moments
g. Compute reactions at supports
h. Draw shear and moment diagrams
P.
EI
2EI
EI
b.
Members AB, BC, CD have the same length L = 5 m
Flexural rigidities are El, 2EI, El respectively.
Concentrated load of magnitude P = 5 KN acts at a distance a = 1 m from the support A.
Uniform load of intensity q = 5 KN/m acts on BC.
Member CD is loaded at its midspan with a concentrated load of magnitude P = 5 KN

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Step 2 Calculation : (a)_Kinematic Indeteminacy

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Step 3 (b)-Fixed End Moments:

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Step 4 (c)-Slope Deflection Equation :

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