Materials Science - Torsional Stress and Angle of Twist
Explore the concept of torsional stress and angle of twist in strength of materials. Learn about torsion, torsional shearing stress, and how different factors affect the behavior of materials under torsional loads. Gain insights into calculating torsional shearing stress, angle of twist, and the significance of polar moment of inertia.
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Presentation Transcript
Strength of Materials Tenth
Torsion 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.
TORSIONAL SHEARING STRESS, For a solid or hollow circular shaft subject to a twisting moment T, the torsional shearing stress at a distance from the center of the shaft is where J is the polar moment of inertia of the section and r is the outer radius. For solid cylindrical shaft: For hollow
ANGLE OF TWIST The angle through which the bar length L will twist is where T is the torque in N mm, L is the length of shaft in mm, G is shear modulus in MPa, J is the polar moment of inertia in mm4, D and d are diameter in mm, and r is the radius in mm.
