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 %3D subscripts a and s represent values for aluminum and steel. The depth of must be times the depth of the
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 %3D subscripts a and s represent values for aluminum and steel. The depth of must be times the depth of the
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
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