Elasticity
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Show That The Shear Strain Of A Cube Is Equivalent To Linear Strains Of Half The Magnitude In Mutually Perpendicular Direction.
A shear is equivalent to a compression and an extension at right angle to each other: Let us consider a cube , having each side equal to with its lower…
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Calculate Work Done Per Unit Volume In A Strain. Or Calculate Strain Energy.
Strain Energy: When a body is strained, internal forces due to the elastic property of the body are set up and hence work must be done by the applied force…
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What Are “Breaking Stress” And “Permanent Deformation”?
Permanent Deformation: A permanent change occurs in a body when the elastic limit of the material of the body is crossed. It is called permanent deformation. For example, when a…
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What Is ‘Angle Of Twist’ And ‘Angle Of Shear’?
Angle of twist: When a twisting couple is applied to the lower face of a cylinder, clamped at the upper end, in a direction perpendicular to the length of the…
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Derive An Expression Of The Couple Or Torque Required To Twist A Uniform Solid Cylindrical Rod, Clamped At One End.
Couple or torque required to twist a uniform solid cylinder: Let us consider a uniform solid cylindrical rod of radius , length made of a material of rigidity modulus ,…
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Derive An Expression Of The Couple For A Hollow Cylinder, Also Find The Value Of Torsional Rigidity.
Couple of a hollow cylinder: Let us consider a hollow cylinder of inner radius , outer radius and length . is the rigidity modulus of the material of the hollow…
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Explain, Why A Hollow Cylinder Is Stronger Than A Solid Cylinder Of Same Mass, Length, And Material.
A hollow cylinder has a greater torsional rigidity than a solid one of same mass, length, and material: Let us consider a solid cylinder of radius , length . The…
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Calculate The Work Done In Twisting A Wire Or Cylinder.
Work done in twisting a wire or cylinder: Let us consider a cylindrical wire of radius r and length l. The wire is clamped at the upper end and a…