For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 140 x 106 mm4.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.2.4P: The deflection curve for a simple beam AB (sec figure) is given by v=q0L44EIsinxL Describe the load...
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For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 140 x 106 mm4.

For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at
the left end of the beam, and (c) the support reactions By and MB. Assume that El is constant for the beam. Let wo = 6 kN/m, L = 4.5 m, E
= 210 GPa, and I = 140 x 106 mm4.
w(x) =w, cos (A x/2L)
Wo
B
L.
Answer:
(b) VA =
mm
(c) By =
kN
MB =
kN.m
Transcribed Image Text:For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that El is constant for the beam. Let wo = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 140 x 106 mm4. w(x) =w, cos (A x/2L) Wo B L. Answer: (b) VA = mm (c) By = kN MB = kN.m
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