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QUESTION: 1

The stretch in a steel of circular section having a length L subjected to a tensile load P and tepering uniformly from a diameter d_{1} at one end to a diameter d_{2} at the other end, is given by

Solution:

QUESTION: 2

The total extension of the bar loaded as shown in the figure is

A = area of cross-section

E = modulus of elasticity

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QUESTION: 3

The deformation of a bar under its own weight as compared to that when subjected to a direct axial load equal to its own weight will be

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QUESTION: 4

A slender bar of 100 mm^{2} cross-section is subjected to loading as shown in the figure below. If the modulus of elasticity is taken as 200 × 10^{9}. pa. then the elongation produced in the bar will be

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QUESTION: 5

A straight bar is fixed at edges A and B. its elastic modulus is E and cross-section is A. There is a load P = 120 N acting at C. The reactions at the ends are

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QUESTION: 6

In a tensile test, near the elastic limit zone

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QUESTION: 7

If Poisson's ratio of a material is 0.5, then the elastic modulus for the material is

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QUESTION: 8

The number of independent elastic constants required to express the stress strain relationship for a linearly elastic isotropic material is

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QUESTION: 9

The number of elastic constants for a completely anisotropic elastic material is

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QUESTION: 10

For a given material, the modulus of rigidity is 100 GPa and Poisson's ratio is 0.25. The value of modulus of elasticity in GPa is

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QUESTION: 11

The volumetric strain in case of a thin cylindrical shell of diameter 'd', thickness 't', subjected to

internal pressure 'P' is

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QUESTION: 12

The modulus of elasticity for a material is 200 GN/m^{2} and Poisson's ratio is 0.25. What is the modulus of rigidity ?

Solution:

QUESTION: 13

E, G, K andm represent the elastic modulus, shear modulus, Bulk modulus and poisson's ratio respectively of a linearly elastic. isotropic and homogeneous material. To express the stress-strain relations completely for this material, at least

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QUESTION: 14

What is the relationship between the linear elastic properties; Young's modulus (E), rigidity modulus (G) and bulk modulus (K) ?

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QUESTION: 15

A copper rod 400 mm long is pulled in tension to a length of 401.2 mm by applying a tensile stress of 330 MPa. If the deformation is entirely elastic, the Young's Modulus of copper is

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QUESTION: 16

Match List – I (State of stress) with List -II (kind of loading) and select the correct answer using

the codes given below the lists:

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QUESTION: 17

State of stress at a point in a strained body is shown in figure A. which one of the figure given

below represents correctly the mohr's circle for the state of stress?

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QUESTION: 18

Plane stress at a point in a body is defined by principal stresses 3s and s. The ratio of the normal stress to the maximum shear stress on the plane of maximum shear stress is

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QUESTION: 19

Which one of the following Mohr's circles represents the state of pure shear?

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QUESTION: 20

In a two dimensional problem the state of pure shear at a point is characterized by

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QUESTION: 21

The unit of work or energy in S.I. units is

Solution:

The SI unit of energy/work is the joule (J), named for English physicist James Prescott Joule (1818 - 1889).

QUESTION: 22

A circular shaft subjected to twisting moment results in maximum shear stress of 60 MPa. Then the maximum compressive stress in the material is

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QUESTION: 23

Consider a two dimensional state of stress given for an element as shown in the diagram given below:

What are the coordinates of the centre of Mohr's circle

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QUESTION: 24

At a point in two-dimensional stress systems x =100 N/mm^{2},s_{y} =t_{xy}= 400 N/mm^{2}. what drawn with a scale of 1cm = 100 N/mm^{2.}

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QUESTION: 25

A body is subjected to a pure tensile stress of 100 units. What is the maximum shear produced in the body at some oblique plane due to the above?

Solution:

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