For the beam illustrated (see attachment), determine the dimension b for which the maximum normal stress due to bending is 40 MPa.
a) 7.45 mm
b) 8.95 mm
c) 8.33 mm
d) 9.36 mm© BrainMass Inc. brainmass.com October 24, 2018, 10:31 pm ad1c9bdddf
We know that section modulus of the rectangular section
Z = bd2/ 6 = b3/6
Normal stress / bending = M / Z
For a give beam, the stress of bending is found in a Word attachment.
Principle Stresses for Elements
The figure shows a schematic of typical steel (E=200GPa, v=0.3) kneed support. The shaft has a diameter of 16mm. The dimensions are a=150mm and b=300mm and the forces are F=100N, P=75N and P2=50N. At the wall, Kt=1.75 and Kts=2. Considering the Generalized Hooke's law:
a. What are the principal stresses at the critical stressed element located at the wall and on the outer surface of the beam, due to the applied forces?
b. Is the element in plane strain or plane stress?
c. What are the principal strains?