Determine the maximum shear stress and angle of twist, Mechanical Engineering

Determine the maximum shear stress and angle of twist:

A hollow circular shaft of 6 m length and inner & outer diameter ois equal to 80 mm and

100 mm is subjected to a torque of 20 kN-m. If G = 80 GPa, determine the maximum shear stress and the angle of twist.

Solution

l = 6 m;            do = 100 mm;  di = 80 mm

T = 20 kN-m = 20 × 103 N-m

G = 80 GPa = 0.8 × 1011 N/m2

1711_Determine the maximum shear stress and angle of twist.png

R = 50 mm

Z P       = J / R = 5.8 × 10-6 /0.05   = 1.16 × 10- 4 m3

T/ J = τmax / R     = G θ/ l

τmax = T /ZP =    20 × 103 / 1.16 × 10- 4

 = 17.2 × 107 N/m2

 = 172 N/mm2

θ= τmax /R ×  (l/G) = 172 × 10 6 /0.05 × (6/ (0.8 × 1011))

= 0.258 radian = 14.78o.

Posted Date: 1/21/2013 4:42:25 AM | Location : United States







Related Discussions:- Determine the maximum shear stress and angle of twist, Assignment Help, Ask Question on Determine the maximum shear stress and angle of twist, Get Answer, Expert's Help, Determine the maximum shear stress and angle of twist Discussions

Write discussion on Determine the maximum shear stress and angle of twist
Your posts are moderated
Related Questions
Gradual Engagement : The clutch should positively take the drive gradually without the occurrence of sudden jerks.

Compute the angular velocity of the wheel: A wheel of 0.5 m radius rolls over a horizontal surface without slipping as illustrated in Figure (a). The velocity of its centre is

draw the projection of hexagonal prism of base side 20mm & axis length 50mm. when it is lying on the ground on one of its rectangular phase and axis is inclained 35 degree to vp. s

Q. Define Gas Welding? Metal joining process in which the ends of pieces to be joined are heated at their interface by producing coalescence with one or more gas flames (such a

Hinged Support: Hinged (Pin) Support: At hinged end, beam cannot move in any direction support will not develop any resisting moment, but it can develop reaction in any of t

its definition, principle, explanation, application, and a diagram

Free Torsional Vibration of a Single Rotor System

Sentiment analysis is a subfield of NLP concerned with the determination of opinion and subjectivity in a text, which has application in the analysis of online product reviews, rec

Stress relaxation is creep related phenomenon: Problem: What is stress relaxation? Give example. Solution Stress relaxation is creep related phenomenon. It is los

Q. Show Pneumatic Test? Pneumatic testing presents hazards that must be addressed as part of the engineering design of the pressure vessel. Due to the additional hazards of