Figure P14.23 shows a countershaft with helical gear (B), bevel gear (D), and two

Chapter 14, Problem 14.23

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Figure P14.23 shows a countershaft with helical gear (B), bevel gear (D), and two supporting bearings (A and C). Loads acting on the bevel gear are known. Forces on the helical gears can be determined. Shaft dimensions are known. All shoulder fillets have a radius of 5 mm. Only bearing A takes thrust. The shaft rotates at 1000 rpm and is made of hardened steel having known values of \(S_u\) and \(S_y\). All important surfaces are finished by grinding.

(a) Draw load, shear force, and bending moment diagrams for the shaft in the xy and xz planes. Also draw diagrams showing the intensity of the axial force and torque along the length of the shaft.

(b) Calculate the forces at the bearings A and C.

(c) Select a suitable bearing for this shaft.

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