[Unified-mailman] M14 hints and M17 clarification

Mark Spearing spearing at MIT.EDU
Thu Mar 4 07:38:46 EST 2004


Dear Unified Students

A couple of hints to help with problem M14.

1) since we are in a small deflection regime we can superimpose the 
stresses due to the axial force with those due to the bending moment 
at a given point on the cross-section.

2) you can assume that the maximum bending moment occurs at the 
center of the beam (since this is where the maximum deflection 
arises).  This will allow you to express the solution in terms of cos 
and sin terms which will simplify the solution considerably.

The drawing in M17 contains a small "cut and paste" error.  Sxy, the 
shear force per unit length should have been drawn as positive (i.e. 
the same convention as a positive shear stress).  The table of values 
is correct..

My apologies for the error and I hope that the hint helps you.

Regards

Mark Spearing


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