Theories of failure - cases of solids, Civil Engineering

Theories of Failure - cases of solids:

1091_States of stress - principal stresses.png

Let us now consider the solid shown in Figure (b).

(a)        As the principal stresses are within 260 MPa, the solid is safe according to the principal stress theory.

(b)        The maximum principal strain ε1 = 250/E -0.3 (-150/E) = 295/E > 260/E

 ∴         The solid will fail according to principal strain theory.

(c)        Maximum shear stress, τmax = 250-(-150)/2 = 200>130

∴          The solid is not safe as per shear stress theory.

(d)        Total strain energy density

u =  1/2E  [2502  + (- 150)2  - 2 × 0.3 × 250 (- 150)]

= 53750/E > 2602/2E

∴          The solid will fail.

(e)        Distortion energy density 1/12G ({250 - (- 150)}2  + 2502 + 1502)

= 122500/6G > 2602/6G

∴          Distortion energy theory also predicts failure.

Posted Date: 1/30/2013 6:40:03 AM | Location : United States







Related Discussions:- Theories of failure - cases of solids, Assignment Help, Ask Question on Theories of failure - cases of solids, Get Answer, Expert's Help, Theories of failure - cases of solids Discussions

Write discussion on Theories of failure - cases of solids
Your posts are moderated
Related Questions
Question Why is it best to design storm water drains to match soffit? Answer Storm water drains gather storm water in their corresponding catchment areas throughout rainst


Q. Describe types of Spurs? Spurs can be of varied types. They may be either permeable or impermeable. Permeable spurs are open structures constructed by driving wooden balties

In order to make wise investments in a marketplace experiencing enhancing levels of risk, companies are turning to feasibility studies to verify if they should offer new products,


spiral curves?

Define Seal wear test of shock transmission unit? Seal wear test: Seal prevents the leakage of silicon putty in the cylinder. The test is conducted for 30000 cycles assuming th

What is the actual mix propotion for M35/ C35 design mix concrete

characteristics of ridge characteristics of escarpment characteristics of plateau characteristics of knoll characteristics of conical hill

Q. Washer – necessary for bolts? 'Fastener' is a general term which is used to describe something that is used as a restraint for holding things together or attaching them to o