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Answer :
The magnitude of the force F required to produce pure shear in the wall of the cylinder is 190 kN. Option B is answer.
To calculate the magnitude of the force F, we can use the formula:
F = (T1 + T2) / 2
where T1 and T2 are the forces acting on the cylinder at the top and bottom, respectively.
Given that the internal pressure is 1.5 MPa, the diameter of the cylinder is 0.6 m, and the length of the cylinder is 1.2 m, we can calculate the forces T1 and T2 as:
T1 = (1.5 MPa) * (0.6 m / 2) * (π / 4) * (0.6 m)^2 = 136.3 kN
T2 = (1.5 MPa) * (0.6 m / 2) * (π / 4) * (0.6 m)^2 = 136.3 kN
Therefore, the magnitude of the force F is:
F = (136.3 kN + 136.3 kN) / 2 = 190 kN
So, Option b) 190 kN is the correct answer.
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