Q5/ In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L. and stiffness S as the existing one, and must deflect through a maximum safe displacement 8max without failure. The width b and thickness t are free variables. L Load F 1 FL³ 48 EI 10, L² 6 #E 1=br³/12 8max Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection 8max and the other on stiffness S. Use the two constraints to fix free variables.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q5/ In vehicle suspension design it is desirable to minimize the mass of all components. You have
been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of
an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure.
The new spring must have the same length L and stiffness S as the existing one, and must deflect
through a maximum safe displacement 8max without failure. The width b and thickness t are free
variables.
L
Load F
6=
1 FL³
48 EI
10₂L²
6 #E
1=bt³/12
8max
=
Derive a material index for the selection of a material for this application. Note that this
is a problem with two free variables: b and t; and there are two constraints, one on safe deflection
8max and the other on stiffness S. Use the two constraints to fix free variables.
Transcribed Image Text:Q5/ In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L and stiffness S as the existing one, and must deflect through a maximum safe displacement 8max without failure. The width b and thickness t are free variables. L Load F 6= 1 FL³ 48 EI 10₂L² 6 #E 1=bt³/12 8max = Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection 8max and the other on stiffness S. Use the two constraints to fix free variables.
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