310 Strength Comparison of Hollow and Solid Steel Shafts of Equal Outside Diameters Jhun Vert Tue, 04/21/2020 - 11:21 am

Problem 310
Show that the hollow circular shaft whose inner diameter is half the outer diameter has a torsional strength equal to 15/16 of that of a solid shaft of the same outside diameter.

305 Minimum Diameter of Steel Shaft With Allowable Angle of Twist Jhun Vert Tue, 04/21/2020 - 11:14 am

Problem 305
What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6-m length when subjected to a torque of 12 kN·m? What maximum shearing stress is developed? Use G = 83 GPa.

Helical Springs Jhun Vert Tue, 04/21/2020 - 10:56 am

When close-coiled helical spring, composed of a wire of round rod of diameter d wound into a helix of mean radius R with n number of turns, is subjected to an axial load P produces the following stresses and elongation:

Close-coiled helical spring


Torsion Jhun Vert Tue, 04/21/2020 - 10:16 am


Consider a bar to be rigidly attached at one end and twisted at the other end by a torque or twisting moment T equivalent to F × d, which is applied perpendicular to the axis of the bar, as shown in the figure. Such a bar is said to be in torsion.

Bar in torsion