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True/False: Circle the answer: (2 pts per answer) Maximum shear stress and bendi

ID: 1839003 • Letter: T

Question

True/False: Circle the answer: (2 pts per answer) Maximum shear stress and bending stress do not occur at the same location on a A) cross-section. 8 The lower the area moment of inertia of a beam, the higher the stress C) First moment of an area is related to finding the centroid of an area D An angle of 15 could be considered small E) Average shear stress is exactly % of the actual direct shear stress. F) Explain what is meant by strong axis and weak axis for a structural beam. (4 pts) G) Two beams are made from the same material and carry the same bending moment load. Beam A exhibits a larger radius of curvature than beam B. Explain which beam has the smaller flexural rigidity.( 4 pts) H) Complete the table for all six boxes:(6 pts 2 pts per box) Two Conditions for Usage Sketch of stress distribution Expressiorn (state equation) Flexure stress l) Briefly explain why a shear stress develops along the longitudinal plane in a beam that carries a shear load. Hint: include a stress element & picture. (6pts)

Explanation / Answer

A) maximum shear stress and maximum bending stress will not occur at same location - True

Reason: consider a circular cross section, max shear stress will be at neutral axis and max bending stress will be at outer fibers.

B) Lower area moment of inertia higher the stress- True

Reason:

Stress is inversely proportional to area moment of inertia.

Sigma= My/I

c)

First moment of area is related to finding centroid of an area--True

Because before calculating first moment of area, we calculate centroid of the shaded area

d)

15 degrees is considered small- False

Reason: 15 deg makes lot of difference

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