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
i need simple ans for this question tell me precaution of dampness

State the procedure of prestressing When these wires cool down, concrete is poured in the moulds in which these tendons are provided in a stretched condition. Using this proces

What is WBM road. How it is constructed?

Maximum shear stress: The state of stress at a critical point of a strained solid is given by σ x = 70 kN/mm 2 , σ y = - 50 kN/mm 2 and τ xy = 45 kN/mm 2 . If the strength

Construction of Passenger Terminal Building: There are various concepts in planning and constructing passenger terminal buildings. These are : (a)        The international

TH ADVANTAGES OF FLAMISH BOND


how it different from hot mix asphalt . is it changes any performance compared to hot mix asphalt

Q. What is Imp rest Stores? Material obtained not for specific works but as a standing advance for the purpose of material urgent requirements as and when they arise should wit