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For the pure beam bending problem solved in Example 8.2, calculate and plot the in-plane displacement field

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For the pure beam bending problem solved in Example 8.2, calculate and plot the in-plane displacement field given by relation (8.1.22)2. Use the vector distribution plotting scheme illustrated in Appendix C, Example C.5. Your solution should look like the following figure.

......... .......... minde -..............

Data from example C.5

This example illustrates a code used to plot the hoop stresses on the boundary of a circular hole in an

command that generates Fig. 8.13. Additional formatting can be applied to the polar plot call to control line

Equation 8.1.22

0x = u= M Mxy Jy = Txy = 0 M 2EI V = [vy + x-] (8.1.22)

Data from example 8.2

As a second plane stress example, consider the case of a straight beam subjected to end moments as shown in

(8.1.18) The displacements are again calculated in the same fashion as in the previous example. Assuming

M 2c 21- M X

where f and g are arbitrary functions of integration. Using the shear stress-strain relations 3M x+' (y) +

0x u= M 7 dy=Try=0 Mxy V= 0x = M 2EI M Note that for this simple moment-loading case, we have verified the


Transcribed Image Text:

.......... ...---- minde -............

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Elasticity Theory Applications And Numerics

Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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