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Academics – Applied Mechanics : 2014/DEC/07
Question

Q2. A beam is bent to form an arc of diameter 2.8 m. It has to remain elastic and must be capable of recovering its original straight form. Calculate EACH of the following:

(a) The maximum allowable depth of the beam;

(b) The maximum bending moment applied to the beam if a square cross-section is used;

(c) The maximum bending moment applied to the beam if a circular cross-section is used.

Note: Maximum bending stress allowed at the elastic limit = 230 MN/m2

Modulus of Elasticity for the beam material = 200 GN/m2

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