(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)

(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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

(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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