For the beam shown below, use the Flexibility Method (also known as the Method of Consistent Deformations) to compute all support reactions and draw the shear, moment and qualitative deflected shape diagrams. Use the vertical reaction at B (By) and the vertical reaction at C (Cy) as redundant support reactions and apply all Q forces = 1 kip upward. Note: if you choose other reactions as redundant or apply virtual loads other than 1 kip upward, many of your answers that follow will be incorrect ever though your approach may be perfectly appropriate. E and I are constant

For the beam shown below, use the Flexibility Method (also known as the Method of Consistent Deformations) to compute all support reactions and draw the shear, moment and qualitative deflected shape diagrams. Use the vertical reaction at B (By) and the vertical reaction at C (Cy) as redundant support reactions and apply all Q forces = 1 kip upward. Note: if you choose other reactions as redundant or apply virtual loads other than 1 kip upward, many of your answers that follow will be incorrect ever though your approach may be perfectly appropriate. E and I are constant

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

100%

For the released structure the value of m1 diagram at A, B, C, D is? Answer in Kip-ft

For the beam shown below, use the Flexibility Method (also known as the Method of Consistent
Deformations) to compute all support reactions and draw the shear, moment and qualitative
deflected shape diagrams. Use the vertical reaction at B (By) and the vertical reaction at C (Cy) as
redundant support reactions and apply all Q forces = 1 kip upward. Note: if you choose other
reactions as redundant or apply virtual loads other than 1 kip upward, many of your answers that
follow will be incorrect even though your approach may be perfectly appropriate. E and I are
constant.
Let
By = X₁ ↑
3 k/ft
12 ft
C₂ = X₂ ↑
BA
12 ft
3 k/ft
12 ft
1 pts

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Step 1: Given

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Step 2: Static Indeterminacy

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Solution

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Step 3: Flexibility method

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Step 4: Analysis of beam subjected to external load

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Step 5: Analysis of beam subjected to Q1=1

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Step 6: Analysis of beam subjected to Q2=1

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Step 7: Determination of DQL matrix

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Step 8: Determination of flexibility matrix

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Step 9: Determination of redundant and support reactions

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Step 10: Shear force, bending moment and qualitative deflection diagram

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