Theories of failure - cases of solids, Civil Engineering

Assignment Help:

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.


Related Discussions:- Theories of failure - cases of solids

English, Features of literary writing

Features of literary writing

Define scour - underwater inspection of bridges, Define Scour - Underwater ...

Define Scour - Underwater Inspection of Bridges? Whenever a bridge crosses a waterway, even a small or intermittent one, scour is a dangerous effect that can damage bridge pier

Uses of stones, Uses of Stones Stones are used in the following civil e...

Uses of Stones Stones are used in the following civil engineering constructions are described: (i) Stone masonry which is used for the construction of foundations, , columns

Surface-protecting fenders and energy-absorbing fenders, Question What ...

Question What is main difference in application of surface-protecting fenders and energy-absorbing fenders ? Answer Surface-protecting fenders are fenders that make

Pcc, Specific Gravity & Water Absorption of Fine Aggregate

Specific Gravity & Water Absorption of Fine Aggregate

Atomic polarisability, what is the atomic polarisibility of argon its susce...

what is the atomic polarisibility of argon its susceptibility is 273k and 1 atm is 4.35*10^-4 and n is 2.7*10^25atoms/m^3

Explain chezy manning equation, Explain Chezy Manning Equation v = 1.49...

Explain Chezy Manning Equation v = 1.49/n (R) 0.67 (S) 0.5     R = hydraulic radius (ft) = Area/ wetted perimeter, R = D/4 for circular channels full and one-half full

Chemical deterioration - underwater inspection of bridge, Define Chemical D...

Define Chemical Deterioration - Underwater inspection of Bridge? Chemical deterioration may occur in concrete, which has not been properly compacted, or through environmental p

Non uniform flow in open channel, #ques5. A rectangular channel is 3 m in w...

#ques5. A rectangular channel is 3 m in width and draws water from a lake. The channel slope is 0.001 and the Manning’s n is 0.0013. What will be the discharge in the channel when

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd