4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 10 -250- -32 B 75 6.8 kN F 38 125 -35 30

4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 10 -250- -32 B 75 6.8 kN F 38 125 -35 30

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.10P: Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the...

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The piston in an engine is attached to a connecting rod AB, which in turn is connected to a crank arm BC (see figure). The piston slides without friction in a cylinder and is subjected to a force P (assumed to be constant) while moving to the right in the Figure. The connecting rod. with diameter d and length L, is attached at both ends by pins. The crank arm rotates about the axle at C with the pin at B moving in a circle of radius R. The axle at C, which is supported by bearings, exerts a resisting moment M against the crank arm. (a) Obtain a formula for the maximum permissible force Pallow. based upon an allowable compressive stress acin the connecting rod. (b) Calculate the Force Pallowfor the following data:
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
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