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A material has identical properties in all directions, it is said to be
Isotropic Identical properties in all directions
Orthotropic Different properties in all three directions
Homogeneous A material of uniform composition
The term nominal stress in stressstrain curve for mild steel implies
Actual area at instant of loading does not remain constant and decreases with increases in elongation actual stress is also called true stress.
For metallic minerals creep becomes an important consideration at
The temperature at which the creep becomes an important consideration is called HOMOLOGOUS TEMPERATURE and this temperature is nearly half of the melting point temperature.
Clapeyron's theorem is associated with the analysis of
Clapeyorn’s Theorem of Three Moments express the relation b/w bending moments at three successive supports of a continuous beam, subjected to a loading on two adjacent span with or without settlement of supports.
A rubber band is elongated to double its initial length, its true strain is
A prismatic beam has uniform
In the case of pure bending, the beam will bend into an arc of a
The equation for simple bending is given by:
where I = Moment of Inertia, E = Modulus of Elasticity, F = Stress at any fiber at a distance of y from the neutral axis, M = Bending moment and R = Radius of curvature.
For a circle, the radius is constant, hence for pure bending, the arc bend into a circle.
Assumptions made in the theory of Pure Bending :
If the modulus of elasticity is zero, the material is said to be
E =0 Slope of Stress Strain Curve is straight horizontal line. It means at constant stress, strain keeps increasing which is the characteristic property of perfectly plastic material.
The compressibility of a material is proportional to
Bulk Modulus= K=(p)/(ⅆv∕v)=1/β=E/3(12μ)
β=compressibility is proportional to reciprocal of E.
If a beam with the rectangular crosssection is obtained by cutting from circular log of timber, then for the beam to have strongest section in bending, the ratio of breadth to depth should be
AB = b = D cosθ, BC = d = D sinθ
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