ME 354 Mechanics of Materials Laboratory Autumn 2007

 

Homework 3


Due Friday October 19 at 9:30 (in class)

 

1. As seen in class, both the stress and the strain vary linearly through the cross section (from top to bottom) of a rectangular beam subjected to a bending moment if the stress-strain relation is assumed to be linear elastic.

 

a) Assuming the strain distribution remains linear, sketch the stress distribution you would expect to see if the stress-strain relation is assumed to be elastic-perfectly plastic (also assume that the applied bending moment is sufficiently high to cause some yielding in the beam).

 

b) Repeat part a), but assume the stress-strain relation to be elastic-plastic with linear hardening.

 

2. Dowling Problem 4.5

 

3. Dowling Problem 4.16

 

 

 

 

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