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Strength of Material Nuclear Quiz 3

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Question 1

A bar of circular cross-section varies uniformly from a cross-section 2D to D. If the extension of the bar is calculated treating it as a bar of average diameter, then the percentage error in the deflection will be

Question 2

In a 2D XY plane strain situation, the displacements at a point are given as:
u = -2x+8y unit
v = -3x+5y unit
What is the shearing strain?

Question 3

Consider the following statements:
1. On planes having maximum and minimum principal stresses, there will be no tangential stress.
2. Shear stresses on mutually perpendicular planes are numerically equal.
3. Maximum shear stress is equal to half the sum of the maximum and minimum principal stresses.
Of these statements

Question 4

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then
i) a force is required to move the body upwards
ii) a force is required to move the body downward
iii) the body will not be in equilibrium
The correct answer is

Question 5

A column has an external diameter of 18mm and an internal diameter of 16mm. calculate the diameter of the case, such that there is no tension developed in the column.

Question 6

A solid circular shaft of diameter 100mm is subjected to a bending moment of 24kNm and a torque of 10kNm. the maximum principal stress induced in the shaft will be.

Question 7

A mild steel bar of length 40mm and diameter 4mm, E = 2 x 105 N/mm2 is subjected to a stress of 50 N/mm2 . If the contraction ratio is 0.40, then ratio of change in length of bar to change in diameter of bar is.

Question 8

Which of the following statements(s) is (are) correct?

i. In a tensile test on a specimen, true stress in the specimen is less than the nominal stress.
ii. Stress is a fundamental behavior of the material.
iii. The amount of elastic deformation at a certain point, which a bar of mild steel undergoes at a given stress is the same irrespective of the stresses being tensile or compressive (nature).

Question 9

At a point in an elastic material direct tensile stress of 80 N/mm2 and a direct compressive load of 50 N/mm2 are applied on planes at right angles to each other. If the maximum principal stresses are limited to 95 N/mm2(tensile), then the shear stress will be allowed on that plane.

Question 10

A rectangular beam 15cm wide is subjected to a maximum shear force of 45000 N. if the corresponding maximum shear stress is 4, then the depth of beam is.
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Feb 11ESE & GATE CE