Question

In: Mechanical Engineering

True or False: The maximum magnitude of stress due to bending σmax occurs at the horizontal...

True or False: The maximum magnitude of stress due to bending σmax occurs at the horizontal (x) position that the magnitude of bending moment M is a maximum.

Solutions

Expert Solution

True

If the neutral axis is an axis of symmetric of the cross section, the maximum tensile and compression bending stresses are equal in magnitude and occur at the section of the largest bending moment. Draw the bending moment diagram and identify the bending moment Mmax that has the largest magnitude (disregard the sign)

• Compute the moment of inertia I of the cross- sectional area
about the neutral axis.
• Calculate the maximum bending stress from
σ max = [M max]c / I, (where c is the distance from the neutral axis to the top or bottom of the cross section )

Calculate the maximum bending stress from-

σ max = [M max]c / I.


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