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 Installation of Shock Transmission Unit? It is not always necessary to install STUs while a structure is under construction but the holding down anchor bolts and th

Question In pumping stations one of choices for the material of water tanks is fibre-reinforced plastic. What are main advantages associated with this kind of material? An

Steps to determine the hydraulic horsepower (whp) for pump problems:  1) Determine (h A ) by rearranging the Bernoulli equation.    2) Apply (h A ) into the equation found i

Q. Glazed tiles for Construction Material? Glazed tiles are only meant for dadoes of bath room, Toilet and kitchens etc as they have no strength . Normally 8'' x 4'' g

Water quality analysis: This water quality analysis presents an overview of physical characteristics of water, chemical substances that are normally present in water and vario

What is the Design Mix concrete Determination of  the proportions of  cement, aggregates and water to  achieve the required strengths in concrete is made by designing  the  con

Q. Specification of Flooring for heavy repair shed? Scope for use - For flooring for heavy repair shed, Surface hardened concrete flooring can used. In this type of flooring,

Road Materials Earthwork and pavements constitute a significant part of the cost of a road. Hence it is desirable that thorough investigations be done about the availability o


How can we reduced frictional losses Frictional losses can be reduced by several methods, such as : (a) Over-tensioning the tendons by an amount equal to the maximum frictio