Analyse the state of stress at the critical section, Civil Engineering

Analyse the state of stress at the critical section:

A prismatic bar of circular section with 80 mm diameter is subjected to bending moment of 5 kN-m and a torque of 7 kN-m. Analyse the state of stress at the critical section.

Solution

Moment of the inertia, I = πD4/64 = π×804/64 = 2.016×106 mm4

Polar moment of inertia, J = πD4/32 = π/32 ×804 = 4.032×106 mm4

Maximum bending stress, σx = Mymax/I = 5×106×40/2.016×106 = 99.206 N/mm2

Maximum shear stress τxy  = 7 × 106 × 40/4.032×106 =69.444 N/mm2

Determination of Principal Stress

992_Analyse the state of stress at the critical section.png

Thus, we get

σ1  = 134.944 N/mm2  and σ2 = -35.737 N/mm2

τmax =σ1 -σ 2/2 = 85.34 N/mm2

Note

While the cross-section of the bar is hollow circular along with outer and inner diameters D and d respectively the analysis of stresses is to be carried through the similar procedure except for using the expressions,

 I = π/64 (D4 -d4) and J =π/32 (D4 -d4)

Posted Date: 1/30/2013 6:31:32 AM | Location : United States







Related Discussions:- Analyse the state of stress at the critical section, Assignment Help, Ask Question on Analyse the state of stress at the critical section, Get Answer, Expert's Help, Analyse the state of stress at the critical section Discussions

Write discussion on Analyse the state of stress at the critical section
Your posts are moderated
Related Questions
explain the concept of time dilation on the basis of lorentz transfarmation equations

what is soil structure and types of soil structure?

how to calculate when moment is present in the structure by influence line diagram

State the Loss of prestress Loss of prestress due to elastic shortening definitely occurs in pre-tensioned concrete members. But in post-tensioned members it does not occur if


Define the Types of Transmission in Ultrasonic System? Types of Transmission Three Types of Transmission through the testing element is possible, namely: - Direct transmi


Currently I am struggling with masteringengineering.com So is it fine to give you my username and password so you could solve my problems. please show your work.

Compare the probabilities: Use the central limit theorem to compute P (¦ X - μ ¦ ≥ k), k = 1, 2,3,4,5 where X and μ are as defined in Example. Compare the probabilities with t

Introduction to Transportation Engineering: Transportation is the movement of goods and people from one place to another. Transportation Engineering is that branch of engineer