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GATE 2020 ME National Champion Quiz:Strength of Materials (App update required to attempt this test)

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Question 1

A shaft is subjected to a bending moment m and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft is

Question 2

An element is subjected to bi-axial normal tensile strains of 0.0030 and 0.0020. The normal strain in the plane of maximum shear strain is ___________.

Question 3

When a body is elastically stretched, the value of Poisson’s ratio always remains

Question 4

Along the principal plane subjected to maximum principal stresses

Question 5

A solid circular shaft is required to transmit 200 kW while turning at 1.5 rev/second. The allowable shearing stress is 42 MPa, then the required diameter of the shaft is ________cm.

Question 6

A two-span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidity. The reaction at the middle support is

Question 7

For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in
m-1, round off to 3 decimal places), is __________.

Question 8

An 8 m long simply-supported elastic beam of rectangular cross-section is subjected to a uniformly distributed load of 10 kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a cross-section and at 2 m from the support is ____________.

Question 9

The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments M and 2M

The slop at P will be

Question 10

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of The maximum bending stress at the fixed end of the cantilver is

Question 11

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude σxx = 30 MPa and σYY = 50 MPa as shown in the figure.

The Young’s modulus of the material is 2×1011 N/m2 and the Poisson’s ratio is 0.3. If σzz  is negligibly small and assumed to be zero, then the strain εzz is __________.

Question 12

If the strain energy absorbed in a cantilever beam in bending under its own weight is `K' times greater than the strain energy absorbed in an identical simply supported beam in bending under its own weight, then the magnitude of 'K' is
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Jul 25ESE & GATE ME