Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
a) Draw the shear force and bending moment diagrams for the beam shown in the figure above
and determine the maximum shear force and maximum bending moment along the length
of the beam.
b) Without doing any calculations, illustrate how you would determine the shear force and
bending moment at any point in the beam by using the principle of superposition.
c) By using the method of virtual work, calculate the vertical displacement at point C as a
function of the flexural stiffness of the beam, EI.
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- Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial deformations. a) b) Find all reactions. Draw the BMD; identify the magnitude and location of all minima, maxima, and inflection points. Find the horizontal deflection at joint C as a function of EI. 10 m XB 15 m I 21 15 m D I -30 kNarrow_forwardConsider the truss shown in (Figure 1). Assume the members are pin connected at their end points. TakeA = 130 mm2, and E= 200 GPa for each member. Use the method of virtual work to solve this problem. Determine the horizontal displacement of joint D measured leftward. 8 kN 3 m 3 m 4 m C Barrow_forwardSolve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kNarrow_forward
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