A double-notched beam with height ratio h 1 / h 2 = 1.5 is subjected to a pure bending moment. As a designer, you have the option of using either a semicircular notch (Fig. (a)) or a deep notch with...

A double-notched beam with height ratio
h
₁/h
₂
= 1.5 is subjected to a pure bending moment. As a designer, you have the option of using either a semicircular notch (Fig. (a)) or a deep notch with
a/h
₂
= 0.05 (Fig. (b)). Show that the allowable bending moment is increased by approximately 80% when the semicircular notch is used.