Saturday, September 7, 2013

GATE 2014- one liners - Structural Mechanics- Part 1

1. The relation between E(Young's modulus of Elasticity) and bulk modulus K, when U(Poisson's ratio) = 0.25 is   E=1.5K

2. If K and G are bulk modulus and modulus of rigidity the Poisson's ratio will be (3K-2G)/(6K+2G).

3. An axial tensile force is acting on a body and normal strain in axial direction is 1.25 mm/m. If Poisson's ratio is 0.3, the Volumetric strain in the body is 1.7*10^-4 (=logitudinal strain*lateral strain^2)

4. A point is a strained body is subjected to a tensile stress of 100 MPa on one plane and a tensile stress of 50 MPa on a plane at right angle to it. If these planes are carrying shear stresses of 50 MPa, then principal stresses inclines to the layer normal stress at an angle = 1/2[(tan)^-1(2)]

5. A simply supported beam of span l carries over its full span a load varying linearly from zero at either end to w /unit length at other end, then maximum bending moment occurs at mid span and is equal to wl^2/12.

6. Slope at the end of simply supported beam of span 2 m and load 5 kg/ unit length over the entire span, will be 5/(3EI)

7. If a simply supported beam of circular cross section with diameter d and length l carries a concentrated load W at the center of the beam, then strength of the beam is proportional to (z =I/y) D^3.

8. When both ends of the column are fixed, the cripling load is F. If one end of the column is made free, then value of cripling load will be changed to F/16.

9. From Rankine's hypothesis Rankine's criteria for failure of brittle material is maximum principal stress.

10. If a circular shaft is subjected to a torque T which is half of the bending moment applies, then the ratio of maximum bending stress and maximum shear stress is 4


Reference: GK publishers

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