Analyse the frame in Figure 1 using the Force Method, with the vertical reaction force at D and horizontal reaction force at E as the ‘redundant forces' (i.e. the 'primary structure' has support D removed and Support E replaced by a horizontal roller). Draw the shear force, axial force and bending moment (V, N, M) diagrams. The flexural rigidity for each member is indicated on the diagram. 15KN A 2m នដ FI 3m 2EI B 36kN/m ✓ ✓ + ✓ Sm ZEI 4m EI 6m EI 197 Figure 1 Shear Force diagram (V)

Structural Analysis
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Chapter2: Loads On Structures
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This structure is statically indeterminate. There are more reactions than equations. Must use the force method and the redundant forces provided to solve for the axial force, bending moment and shear force diagrams. Flexual rigidity for each part of the structure is provided in the photograph

MUST USE THE FORCE METHOD 

IE.

PRINCIPLE OF SUPERPOSITION
COMPATABILITY EQUATIONS 
EQUILIBRIUM EQUATIONS

Analyse the frame in Figure 1 using the Force Method, with the vertical reaction force at D and horizontal
reaction force at E as the ‘redundant forces' (i.e. the 'primary structure' has support D removed and Support
E replaced by a horizontal roller). Draw the shear force, axial force and bending moment (V, N, M)
diagrams. The flexural rigidity for each member is indicated on the diagram.
15KN
A
2m
នដ
FI
3m
2EI
B
36kN/m
✓ ✓
+ ✓
Sm
ZEI
4m
EI
6m
EI
197
Figure 1
Shear Force diagram (V)
Transcribed Image Text:Analyse the frame in Figure 1 using the Force Method, with the vertical reaction force at D and horizontal reaction force at E as the ‘redundant forces' (i.e. the 'primary structure' has support D removed and Support E replaced by a horizontal roller). Draw the shear force, axial force and bending moment (V, N, M) diagrams. The flexural rigidity for each member is indicated on the diagram. 15KN A 2m នដ FI 3m 2EI B 36kN/m ✓ ✓ + ✓ Sm ZEI 4m EI 6m EI 197 Figure 1 Shear Force diagram (V)
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