(1) Figure 6 shows a statically indeterminate beam structure. Using the force method (Castigliano's Theorem), determine the magnitudes and directions of all support reactions. Assume El is constant. Sketch the deformed shape and construct the shear force and bending moment diagrams for the beam. You must show in the diagrams: (a) relevant values at the "strategic" points; (b) magnitude(s) of the local maximum or minimum moment(s); and (c) location(s) of contraflexural point(s). (2) 8 kN/m 2EI EL 4m 5m Figure 6 Answer: Re=66.2 kN (1)

Structural Analysis
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Chapter2: Loads On Structures
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(1) Figure 6 shows a statically indeterminate beam structure. Using the force method (Castigliano's
Theorem), determine the magnitudes and directions of all support reactions. Assume El is constant.
Sketch the deformed shape and construct the shear force and bending moment diagrams for the
beam. You must show in the diagrams: (a) relevant values at the "strategic" points; (b) magnitude(s) of
the local maximum or minimum moment(s); and (c) location(s) of contraflexural point(s).
(2)
8 kN/m
2EI
EI
4m
5m
+
Figure 6
Answer: Re 66.2 kN (1)
Transcribed Image Text:(1) Figure 6 shows a statically indeterminate beam structure. Using the force method (Castigliano's Theorem), determine the magnitudes and directions of all support reactions. Assume El is constant. Sketch the deformed shape and construct the shear force and bending moment diagrams for the beam. You must show in the diagrams: (a) relevant values at the "strategic" points; (b) magnitude(s) of the local maximum or minimum moment(s); and (c) location(s) of contraflexural point(s). (2) 8 kN/m 2EI EI 4m 5m + Figure 6 Answer: Re 66.2 kN (1)
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