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Part C - Maximum force that the rod can support given a maximum allowed shear st

ID: 1828197 • Letter: P

Question

Part C - Maximum force that the rod can support given a maximum allowed shear stress If the maximum allowable shear stress is tau allow = 156MPa . determine the maximum force P that can be applied to the door handle. (Recall that piece AB is now a hollow tube.) Express the maximum force to three significant figures and include appropriate units. To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter of b= 111mm and a flat plate SC with a force P = 71N applied at point C as shown. Let c = 501mm. d= 131mm. and e= 15 mm. (Treat the handle as if it were a cantilever beam.) Part A - Maximum shear stress in section m-m Determine the maximum shear stress Tmax experienced by the solid shaft in section m-m. Express the shear stress to three significant figures and include appropriate units. Part B - Design of a hollow tube as a replacement for the solid shaft To reduce cost, the manufacturer of the door handle would like to change the solid shaft AB to a hollow one. If the force P and the maximum shear stress remain constant, design a hollow tube that replaces the solid one if the outer diameter is do = 131mm. Express the inner radius to three significant figures and include appropriate units.

Explanation / Answer

the pressure is P = 156 MPa = 156 x 10^6 Pa

let F be the force

we know that

P = (F/A)

where A is area of cross-section

or F = P x A