Problem 1 For the beam in the figure below, assume E = 29,000 ksi and I = 600 in“ for the whole beam. (a) Determine the reactions at the supports A,B, and C using the reaction at C (C,) as the redundant. (b) Draw the shear and moment diagram. (c) Compute the rotation at B and the vertical displacement below the load P in the span AB. (d) Sketch the deflected shape. 2

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.4.38P: A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the...
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Problem 1
For the beam in the figure below, assume E = 29,000 ksi and I = 600 in for the whole beam.
(a) Determine the reactions at the supports A, B, and C using the reaction at C (C,) as the redundant.
(b) Draw the shear and moment diagram.
(c) Compute the rotation at B and the vertical displacement below the load P in the span AB.
(d) Sketch the deflected shape.
Problem 2
Given the uniform distributed loading applied to a fixed end beam shown below, compute the fixed-end
moments shown in the figure. To do so, perform the following steps:
(a) Compute the vector of known displacements, 8.
(b) Compute the vector of displacements for load case 0, 8º.
(c) Compute the flexibility matrix coefficients for load case 1, fam and fRA-
(d) Compute the flexibility matrix coefficients for load case 2, fAB and fBB.
(e) Setup the system of equations to solve for the redundants: X =F"(8– 8°).
() Solve for the redundants. Check your results with the back cover of the textbook.
Transcribed Image Text:Problem 1 For the beam in the figure below, assume E = 29,000 ksi and I = 600 in for the whole beam. (a) Determine the reactions at the supports A, B, and C using the reaction at C (C,) as the redundant. (b) Draw the shear and moment diagram. (c) Compute the rotation at B and the vertical displacement below the load P in the span AB. (d) Sketch the deflected shape. Problem 2 Given the uniform distributed loading applied to a fixed end beam shown below, compute the fixed-end moments shown in the figure. To do so, perform the following steps: (a) Compute the vector of known displacements, 8. (b) Compute the vector of displacements for load case 0, 8º. (c) Compute the flexibility matrix coefficients for load case 1, fam and fRA- (d) Compute the flexibility matrix coefficients for load case 2, fAB and fBB. (e) Setup the system of equations to solve for the redundants: X =F"(8– 8°). () Solve for the redundants. Check your results with the back cover of the textbook.
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