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(Solved): A shaft with the section shown in Figure Q5 is made from steel with shear modulus G = 75 GPa and s ...



A shaft with the section shown in Figure Q5 is made from steel with shear modulus
G = 75 GPa and shear strength 126 MPa. The Torsion
Torsional
formula -
stress & strai
n
Maximum
shear stress
Torsional
constant
J
T max
r
Thin wall
ring
J = 2??3t
T
Tma

A shaft with the section shown in Figure Q5 is made from steel with shear modulus G = 75 GPa and shear strength 126 MPa. The external radius is 100 mm and internal one is 50 mm. Determine the external torque that the section can resist. [12 marks] ii. Assuming that the length of the shaft is L=5 m, calculate the maximum shear strain and the angle of twist. [13 marks] See formula sheet attached r1 ro Figure Q5 Torsion Torsional formula - stress & strai n Maximum shear stress Torsional constant J T max r Thin wall ring J = 2??3t T Tmax = Imax I'm J Thick wall ring rt ro = 1 2 T Oo= enclosed area T Closed thin walled section 4 Tmax J = 4A2 p/t 2Ae tmin - perimeter T Open thin walled section Imax = 1 max = bt biti I = b. ? T Torque J Torsional constant ? Shear stress Shear strain Shear modulus Radius ? Perimeter/length of midline Ae Area enclosed by midline t Thickness 0 Angle of twist G L Length of the shaft r


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