Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial deformations. a) b) c) Find all reactions. Draw the BMD; identify the magnitude and location of all minima, maxima, and inflection. points. Find the horizontal deflection at joint C as a function of EI.

Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial deformations. a) b) c) Find all reactions. Draw the BMD; identify the magnitude and location of all minima, maxima, and inflection. points. Find the horizontal deflection at joint C as a function of EI.

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

Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial
deformations.
a)
b)
c)
Find all reactions.
Draw the BMD; identify the magnitude and location of all minima, maxima, and inflection
points.
Find the horizontal deflection at joint C as a function of El.
10 m
XB
15 m
I
21
15 m
D
I
► 30 kN

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Step 1: Data given

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Step 2: Support reaction

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Step 3: Find the moment of each member and find redundant

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Step 4: Bending moment diagram

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Step 5: Find redundant reaction with unit horizontal load at C

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Step 6: Find all support reactions

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Step 7: Horizontal deflection at C

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