X2 AOxyX1LqA2HFigure 1: Cantilever beam.A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constantshear stress, Oxy(x, H) = q, as shown in Fig. 1.(a) Derive the stresses using the Airy stress function = ax1x2+bx1x² +cx1x³ +dx² +ex3,where a, b, c, d, e are constants.(b) Write the boundary conditions and use them to evaluate the constants.(c) Specify the boundary conditions needed for determining displacements.(d) Why do we not need higher order terms in o?

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x1 L Figure 1: Cantilever beam. A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constant shear stress, ory(x, H) = q, as shown in Fig. 1. (a) Derive the stresses using the Airy stress function = ax1x2+bx1x²+cx1x³+dx3 +ex3, where a, b, c, d, e are constants. conditions and use them to evaluate the constants. conditions nooded for determini dieplegomenta (b) Write the boundary (a) Spaif the hou

x1 L Figure 1: Cantilever beam. A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constant shear stress, ory(x, H) = q, as shown in Fig. 1. (a) Derive the stresses using the Airy stress function = ax1x2+bx1x²+cx1x³+dx3 +ex3, where a, b, c, d, e are constants. conditions and use them to evaluate the constants. conditions nooded for determini dieplegomenta (b) Write the boundary (a) Spaif the hou

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.6P: A cantilever beam of length L = 2 m supports a load P = 8,0 kN (sec figure). The beam is made of...

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