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UPSC Civil Service Exam Questions - Engineering

Q1:

A beam of rectangular section having simply supported span L, is subject to a concentrated load at its mid-span. What is the length of elasto-plastic zone of the plastic hinge ?

A

B

C

D

ANS:A -

Shape factor = Mp/Me.
Shape factor for Rectangle - 0.5,
0.5 = Mp/Me.
0.5 = (L/2)/X (plastic moment form in L/2 Distance in SSB with central point load)
X = (L/2)/0.5,
X = L/(0.5*2),
X = L/3.