3- Using the following theoretical relationship, determine the theoretical relationship between the angle of twist o versus the torsional moment, or torque T, by first calculating the torque, to the nearest 50 N.mm, required for an angle of twist of 3°, converted to radians, for the four shafts TL %3D GJ $: Angle of twist in radians (1 rad = 57.3°) T: Torque in N.mm L: Length of shaft in mm G: Shear modulus, for steel G = 77 GPa =77,000 MPa = 77,000 N/mm2 J: Polar moment of inertia J = -d in mm. 32 Theoretical Torque (N.mm) for an Angle of 3° D = 4.6 mm L= 300 mm D = 6.3 mm L= 600 mm D=7.9 mm D= 6.3 mm L= 300 mm L= 300 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...
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angle of twist 

3- Using the following theoretical relationship, determine the theoretical relationship between the angle of
twist o versus the torsional moment, or torque T, by first calculating the torque, to the nearest 50 N.mm,
required for an angle of twist of 3°, converted to radians, for the four shafts
TL
%3D
GJ
$: Angle of twist in radians (1 rad = 57.3°)
T: Torque in N.mm
L: Length of shaft in mm
G: Shear modulus, for steel G = 77 GPa = 77,000 MPa = 77,000 N/mm2
%3D
%3D
J: Polar moment of inertia J =
d in mm.
32
Theoretical Torque (N.mm) for an Angle of 3°
D= 4.6 mm
L=300 mm
D=6.3 mm
L= 300 mm
D=7.9 mm
L= 300 mm
D= 6.3 mm
L= 600 mm
Transcribed Image Text:3- Using the following theoretical relationship, determine the theoretical relationship between the angle of twist o versus the torsional moment, or torque T, by first calculating the torque, to the nearest 50 N.mm, required for an angle of twist of 3°, converted to radians, for the four shafts TL %3D GJ $: Angle of twist in radians (1 rad = 57.3°) T: Torque in N.mm L: Length of shaft in mm G: Shear modulus, for steel G = 77 GPa = 77,000 MPa = 77,000 N/mm2 %3D %3D J: Polar moment of inertia J = d in mm. 32 Theoretical Torque (N.mm) for an Angle of 3° D= 4.6 mm L=300 mm D=6.3 mm L= 300 mm D=7.9 mm L= 300 mm D= 6.3 mm L= 600 mm
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