For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“.

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.11.4P: A simple beam AB of length L and height h (see figure) is heated in such a manner that the...
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For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the
cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let
wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“.
|B
L
Part 1
Incorrect
Cut a cross-section through the beam at any point and draw a free body diagram to the right of your cut. Determine the internal
bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by
solving for M at x = 2.8 m.
Wo
M(x)
|B
L-x
Answer:
M(x = 2.8 m) = i
! kN-m
Transcribed Image Text:For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“. |B L Part 1 Incorrect Cut a cross-section through the beam at any point and draw a free body diagram to the right of your cut. Determine the internal bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by solving for M at x = 2.8 m. Wo M(x) |B L-x Answer: M(x = 2.8 m) = i ! kN-m
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