A cylindrical assembly consisting of a brass core and an aluminum collaris compressed by a load P (see figure). The length of the aluminum collarand brass core is 350 mm. the diameter of the core is 25 mm, and theoutside diameter of the collar is 40 mm. Also, the module of elasticity ofthe aluminum and brass are 72 GPa and 100 GPa, respectively.(a) If the length of the assembly decreases by 0.1% when the load Pisapplied, what is the magnitude of the load?(b) What is the maximum permissible load f^ if the allowable stresses inthe aluminum and brass are SO MPa and 120 M Pa, respectively?
A cylindrical assembly consisting of a brass core and an aluminum collaris compressed by a load P (see figure). The length of the aluminum collarand brass core is 350 mm. the diameter of the core is 25 mm, and theoutside diameter of the collar is 40 mm. Also, the module of elasticity ofthe aluminum and brass are 72 GPa and 100 GPa, respectively.(a) If the length of the assembly decreases by 0.1% when the load Pisapplied, what is the magnitude of the load?(b) What is the maximum permissible load f^ if the allowable stresses inthe aluminum and brass are SO MPa and 120 M Pa, respectively?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A cylindrical assembly consisting of a brass core and an aluminum collar
is compressed by a load P (see figure). The length of the aluminum collar
and brass core is 350 mm. the diameter of the core is 25 mm, and the
outside diameter of the collar is 40 mm. Also, the module of elasticity of
the aluminum and brass are 72 GPa and 100 GPa, respectively.
(a) If the length of the assembly decreases by 0.1% when the load Pis
applied, what is the magnitude of the load?
(b) What is the maximum permissible load f^ if the allowable stresses in
the aluminum and brass are SO MPa and 120 M Pa, respectively?
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