A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY A |- B X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A
A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY A |- B X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A
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 9.3.15P: A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A...
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answer this ;
Let ? represent the reaction force at Support B. By releasing the beam at Support B and imposing a force ? at Point B, the deflection of the beam consists of two parts,i.e.
Part I- the deflection caused by ?? ;
Part II- the deflection caused by ?
Please treat R, w, h , L , E as variables in this step , the mathematical equation for the deflection at Point B caused by ? ( Part II) can be written as
(Hint : to input equation ?2??2?ℎ , you can type (R^2*L)/(Q^2*w*h) )
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