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Mechanics: Bending Moment

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Question: Semicircular grooves of radius r must be milled in the top and bottom portions of a steel bar as shown in the attached file. Using an allowable stress of 100 MPa, how do I determine the largest bending moment which may be applied to the bar shown when the radius of the semicircular grooves is 20 mm?

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Semicircular grooves of radius r must be milled in the top and bottom portions of a steel bar as shown. Using an allowable stress of 100 MPa, how do I determine the largest bending moment which may be applied to the bar shown when the radius of the semicircular grooves is 20 mm?

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This is a problem of "stress concentration", that means that ...

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