A six-pack is shaken so that the pressure in each can is p = 20 psi. A board is placed on the six pack and a student(s) weighing W stands on the board so his weight is evenly distributed to the six cans. The aluminum properties are E = 10,000 ksi, Sy = 35 ksi, and ν = 0.33. Each can has an average radius of R = 1.25 in., thickness t = 0.01 in., and length L = 4.50 in. (a) Determine the critical weight of the student, Wcr , so that a stress element on the surface of the can is in a state of uniaxial stress. Assume that no support is provided by the contained liquid and the cans do not fail by buckling (being crushed). (b) Determine the strain in the longitudinal direction of the can due to pressure p = 20 psi and force Wcr. (c) Determine the strain in the hoop direction of the can due to pressure p = 20 psi and force Wcr
A six-pack is shaken so that the pressure
in each can is p = 20 psi. A board is placed on
the six pack and a student(s) weighing W
stands on the board so his weight is evenly
distributed to the six cans. The aluminum
properties are E = 10,000 ksi, Sy = 35 ksi, and
ν = 0.33. Each can has an average radius of
R = 1.25 in., thickness t = 0.01 in., and length
L = 4.50 in.
(a) Determine the critical weight of the
student, Wcr , so that a stress element on the
surface of the can is in a state of uniaxial stress.
Assume that no support is provided by the
contained liquid and the cans do not fail by
buckling (being crushed). (b) Determine the
strain in the longitudinal direction of the can
due to pressure p = 20 psi and force Wcr.
(c) Determine the strain in the hoop direction
of the can due to pressure p = 20 psi and force
Wcr
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