(1) Determine the degree of indeterminacy of the structure. (2) Determine the number of degrees of freedom, then use the slope-deflection method to calculate the member end moments. Note that DE span can be simplified as a moment and force applied at joint D. (3) Calculate the reaction forces at support A and C.

(1) Determine the degree of indeterminacy of the structure. (2) Determine the number of degrees of freedom, then use the slope-deflection method to calculate the member end moments. Note that DE span can be simplified as a moment and force applied at joint D. (3) Calculate the reaction forces at support A and C.

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

For the frame structure shown below, A and C are both pinned supports. Note the different moment
of inertia within the structure. E is constant across the frame.
(1) Determine the degree of indeterminacy of the structure.
(2) Determine the number of degrees of freedom, then use the slope-deflection method to
calculate the member end moments. Note that DE span can be simplified as a moment and
force applied at joint D. (
(3) Calculate the reaction forces at support A and C.
2 1.lft

F
F
3 k/ft
-20 ft-
21-
D
B
A
+5
E
15 k
5 ft-
10 ft
5 ft

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Step 1: Solution introduction

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Step 2: Part 1 degree of indeterminacy

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Solution

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Step 3: Part 2 degree of freedom

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Step 4: Part 2 using slope deflection method ..FEM

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Step 5: Part 2 slope deflection equations

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Step 6: Equilibrium equations

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Step 7: Final end moments

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Step 8: Part3 calculation of reactions at support A and C

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Step 9: End reaction calculation

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Step 10: Reactions calculation

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