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If a rod expands freely due to heating, it will develop
The ability of a material to deform without breaking is called
The quality of being easily shaped or moulded is called Plasticity. So Plasticity is the ability of the material to deform without breaking.
When mild steel is subjected to a tensile load, its fracture will conform to
What is the relationship between elastic constants E, G and K?
From equation 1 and 2
Materials which show direction dependent properties are called
Isotropic Materials: Those materials which have the same elastic properties in all the directions.
Anisotropic Materials: Those materials which show direction dependent properties are called anisotropic materials
The number of elastic constants for a completely anisotropic elastic material is
Match List-I (Elastic properties of an isotropic elastic material) with List-II (Nature of strain
produced) and select the correct answer using the codes given below the lists.
a. Young’s modulus
b. Modulus of rigidity
c. Bulk modulus
1. Shear strain
2. Normal strain
3. Transverse strain
4. Volumetric strain
An isotropic elastic material is characterized by
Shape of true stress-strain curve for a material depends on
Which one of the following expresses the total elongation of a bar of length L with a constant cross-section of A and modulus of elasticity E hanging vertically and subject to its own weight W?
Let γ is the weight density.
Wx−x = γAx
at x = 0 ⇒ W1−1 = 0
atx = L ⇒ W2−2 = γAL
Consider a strip at a distance x from section (1) − (1)of dx length
Elongation of the strip
Total elongation of bar
Which one of the following is correct in respect of Poisson’s ratio μ limits for an isotropic elastic solid?
A bar of copper and steel form a composite system which is heated through a temperature of 40℃. The stress induced in the copper bar is (αcopper > αsteel ).
The stress-strain curve of an ideal elastic strain hardening material will be as
A material which undergoes no deformation till its yield point is reached and then it flow at a constant stress is
In a simple tension test, Hooke’s law is valid upto the
Hooke's law is valid upto the limit of proportionality .because it follows the straight-line equation upto the limit of proportionality. after the limit of proportionality, the elastic limit comes. between the limit of proportionality and elastic limit, the line follows the curve line. normally proportional limit and elastic limit very close to each other that's why we consider elastic limit instead of proportional limit for easy calculation.
E, G, K and μ 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
The Poission’s ratio of a material which has young’s modulus of 120 GPa and shear modulus of 50 GPa, is
μ = 0.2
A block 100 mm x 100 mm base and 10 mm height. When we apply a tangential force 10 kN to the upper face, it is displaced 1 mm relative to lower face. Then the shear strain in the element is
tan ϕ = 1 / 10 = 0.1 radian
A block 100 mm 100 mm base and 10 mm height. When we apply a tangential force 10 kN to the upper edge it is displaced 1 mm relative to lower face.Then the direct shear stress in the element is:
A 10 mm diameter of mild steel of elastic modulus 200 x 109Pa is subjected to a tensile load of 50000N, taking it just beyond its yield point. The elastic recovery of strain that would occur up on removal of tensile load will be
d = 10mm
E = 200GPa
Tensile stress in the bar,
Tensile strain will be elastic recovery because bar is loaded up to point of yield point,
∈=σ / E = 3.18 x 10−3