Question 2 A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımum intensity qo kN/m at B Use the fourth-order dıfferential equation of the deflection curve to find expressions for 2.1 reactions at A and B, 22 Determine the equatıon of the deflectuon curve o kN/m y X L Figure Q2

Question 2 A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımum intensity qo kN/m at B Use the fourth-order dıfferential equation of the deflection curve to find expressions for 2.1 reactions at A and B, 22 Determine the equatıon of the deflectuon curve o kN/m y X L Figure Q2

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 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec...

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A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec figure}. The cantilever beam is made of polysilicon (E = 150 GPa) and is subjected to an electrostatic moment M applied at the end of the cantilever beam. 1 f dimensions arc h — 2 [im, h — 4 ^m, and L = 520 ^mt find expressions for the tip deflection and rotation of the cantilever beam in terms of moment M.
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1. Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(πx/L)), wo is the maximum intensity of the load. Also, Find the overall deflection for 304 S.S. and an overall w0 of 3000 lbs. Please solve this using DIFFERENTIAL EQUATION METHOD. Other methods will not get upvote. Thank you.
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A fixed-end beam of length Lis loaded by adistributed load in the form of a cosine curve with maximumintensity q0 at A. a)Use the fourth-order differential equation of the deflectioncurve to solve for reactions at A and B and also theequation of the deflection curve. b)Evaluatethe rotation at L/3 for L=2 m and q0=20 kN/m
=5 For the beam shown below ﬁ E The moment of inertia = / and the elastic modulus = Find the reaction at C using Flexibility method. Find the reactions at A. No calculation is Do the internal forces change if support C settles? needed, just answer yes or no and explain why ina few words (at most one line). P =36 kips A B g —