A 16 kN/m 80 kN.m C 75 kN B 2 m 2m 1 m 2 m 5 m El is constant all across the structure. D Use the Force Method to analyse the beam shown in the Figure by introducing hinges and corresponding redundant bending moments at points A, B, C. Plot the bending moment (M) and shear force (V) diagrams for the loading shown. A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 and X3 are) - XI is associated with the unit moment at A. B) Find X2. Note: X2 is associated with the unit moment at B. C) Find X3. Note: X3 is associated with the unit moment at C. D) Based on X1, X2, and X3: Find Ray (Vertical reaction at A). E) Based on X1, X2, and X3: Find Roy (Vertical reaction at D)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.9P: A simply supported beam ABC is loaded at the end of a bracket BDE (see figure). Draw axial-force,...
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A
16 kN/m
80 kN.m
C
75 kN
B
2 m
2m 1 m 2 m
5 m
El is constant all across the structure.
D
Use the Force Method to analyse the beam shown in the Figure
by introducing hinges and corresponding redundant bending
moments at points A, B, C. Plot the bending moment (M) and
shear force (V) diagrams for the loading shown.
A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 and X3 are) - XI is
associated with the unit moment at A.
B) Find X2. Note: X2 is associated with the unit moment at B.
C) Find X3. Note: X3 is associated with the unit moment at C.
D) Based on X1, X2, and X3: Find Ray (Vertical reaction at A).
E) Based on X1, X2, and X3: Find Roy (Vertical reaction at D)
Transcribed Image Text:A 16 kN/m 80 kN.m C 75 kN B 2 m 2m 1 m 2 m 5 m El is constant all across the structure. D Use the Force Method to analyse the beam shown in the Figure by introducing hinges and corresponding redundant bending moments at points A, B, C. Plot the bending moment (M) and shear force (V) diagrams for the loading shown. A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 and X3 are) - XI is associated with the unit moment at A. B) Find X2. Note: X2 is associated with the unit moment at B. C) Find X3. Note: X3 is associated with the unit moment at C. D) Based on X1, X2, and X3: Find Ray (Vertical reaction at A). E) Based on X1, X2, and X3: Find Roy (Vertical reaction at D)
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