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Whenever some external system of forces acts on a body, it undergoes some deformation. As the body undergoes some deformation, it sets up some resistance to the deformation. This resistance per unit area to deformation, is called
Hooke's law states that : The Force applied to an elastic material is directly proportional to the extension produced.
We can write this as :
F = ke
Where k is the spring constant, F the force and e the extension.
For Hooke's law to hold the extension and Force must always proportional.
If the proportionality is broken then Hooke's law becomes invalid.
Therefore Hooke's law holds good up to limit of proportionality.
The deformation of a bar under its own weight is __________ the deformation, if the same body is subjected to a direct load equal to weight of the body.
The elongation of a conical bar under its own weight is ......that of prismatic bar of the same length.
Correct Answer : c
Explanation : Conical bar/Prismatic Bar.
= (wl^{2}/6E) / (wl^{2}/2E),
=1/3.
Modular ratio of the two materials is the ratio of
A bolt is made to pass through a tube and both of them are tightly fitted with the holp of washers and nuts. If the nut is tightened, then
The Poisson's ratio for stainless steel varies from
When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known as
The relation between Young's modulus (E) and bulk modulus (K) is given by
The ratio of shear modulus to the modulus of elasticity for a Poisson's ratio of 0.4 will be
The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by
When a body is subjected to a direct tensile stress (s_{x}) in one plane accompanied by a simple
shear stress (t_{xy}), the maximum shear stress is
The state of stress at a point in a loaded member is shown is fig. The magnitude of maximum shear stress is
The strain energy stored in a spring, when subjected to maximum load, without suffering permanent distortion, is known as
The neutral axis of the crosssection a beam is that axis at which the bending stress is
When a rectangular beam is loaded transversely, the maximum compressive stress is developed on the
Two closely coiled helical springs 'A' and 'B' are equal in all respects but the diameter of wire of spring 'A' is double that of spring 'B' The stiffness of spring 'B' will be __________ that of spring 'A'
Two closely coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is double that of spring 'B'. The stiffness of spring 'A' will be ....... that of spring 'B'.
Stiffness is inversely proportional to the no. of turns
Therefore,option d will be the correct answer.
A closelycoiled helical spring is cut into two halves. The stiffness of the resulting spring will be
A composite shaft consisting of two stepped portions having spring constants k_{1} and k_{2} is held between two rigid supports at the ends. Its equivalent spring constant is
A composite shaft consisting of two stepped portions having spring constants k_{1} and k_{2} is held between two rigid supports at the ends. Its equivalent spring constant is
The maximum deflection of a cantilever beam of length l with a uniformly distributed load of w per unit length is (where W = wl)
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