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)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question
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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