For the given simply supported beam the height of the beam is fixed by other design considerations, determine the difference in width required for an aluminum beam compared to a steel beam. Take Young's modulus of aluminum as 10x106 psi and of steel as 29x106 psi. h b 2x

For the given simply supported beam the height of the beam is fixed by other design considerations, determine the difference in width required for an aluminum beam compared to a steel beam. Take Young's modulus of aluminum as 10x106 psi and of steel as 29x106 psi. h b 2x

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

For the given simply supported beam the height of the beam is fixed by
other design considerations, determine the difference in width required
for an aluminum beam compared to a steel beam. Take Young's modulus of
aluminum as 10x10° psi and of steel as 29x106 psi.
h
b
2x

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12. Assume a uniformly load simply support beam with a rectangular cross section. The width of the beam is fixed by other design considerations. Determine the ratio between the difference in depth required for an aluminum beam compared to a steel beam in order to obtain the same maximum deflection. MOE aluminum can be taken as 10,000 ksi, for steel as 30,000 ksi. The maximum deflection for the beam is 5wl*/384EI Factoring the deflection equations we can conclude that for equal deflection Eala = Esls where subscripts a and s represent values for aluminum and steel. The depth of must be times the depth of the