Monday, September 9, 2013

part 2 - GATE preparation- Structural Mechanics- one liners

1. At a point in a steel member, major principal stress is 1000 kg/cm^2, and minor principal stress is compressive. If uni-axial tensile yield stress is 1500 kg/cm^2, then magnitude of minor principal stress at which yielding will commence, according to maximum shearing stress theory is, 500 kg/cm2 (Sy/2 = (S1-S2)/2.

2. If an element is subjected to pure shearing stress T, then maximum principal stress T is equal to T.

3. A brittle material of 4 sq. cm cross section carries an axial tensile load of 20 T. What will be the maximum shear stress in the block?  Ans : 2.5 T/cm^2 = 2500 kg/cm^2.

4. Given EI = (1/100)wL^3, where w is central load as well as total udl load acting on the span.  What will be the deflection when a udl equal to w and a concentrated load w is acting centrally to a simply supported beam?     Ans: 1300/384

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