Use the Force Method to analyse the frame shown in the Figure by introducing hinges and corresponding redundant bending moments at points B and C. Plot the bending moment (M) and shear force (V) diagrams for the loading shown. 12 kN/m A 16 kN↓ B C 4.5 m 4.5 m 6 m El is constant all across the structure. 72 kN.m Assume the unit moments this way to get consistent results D 4.5 m 4.5 m A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 are) - X1 is associated with the unit moment at B. B) Find X2. Note: X2 is associated with the unit moment at C. C) Based on X1 and X2: Find RAX (Horizontal reaction at A)| D) Based on Xland X2: Find RAY (Vertical reaction at A) Ay 1
Use the Force Method to analyse the frame shown in the Figure by introducing hinges and corresponding redundant bending moments at points B and C. Plot the bending moment (M) and shear force (V) diagrams for the loading shown. 12 kN/m A 16 kN↓ B C 4.5 m 4.5 m 6 m El is constant all across the structure. 72 kN.m Assume the unit moments this way to get consistent results D 4.5 m 4.5 m A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 are) - X1 is associated with the unit moment at B. B) Find X2. Note: X2 is associated with the unit moment at C. C) Based on X1 and X2: Find RAX (Horizontal reaction at A)| D) Based on Xland X2: Find RAY (Vertical reaction at A) Ay 1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Use the Force Method to analyse the frame shown in the Figure by introducing hinges and corresponding
redundant bending moments at points B and C. Plot the bending moment (M) and shear force (V) diagrams for
the loading shown.
12 kN/m
A
16 kN↓
B
C
4.5 m
4.5 m
6 m
El is constant all across the structure.
72 kN.m
Assume the unit moments this
way to get consistent results
D
4.5 m
4.5 m
A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 are) - X1 is associated with the
unit moment at B.
B) Find X2. Note: X2 is associated with the unit moment at C.
C) Based on X1 and X2: Find RAX (Horizontal reaction at A)|
D) Based on Xland X2: Find RAY (Vertical reaction at A)
Ay
1
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