Page 1 Strength of Material (Formula & Short Notes) Page 2 Strength of Material (Formula & Short Notes) Stress and strain Stress = Force / Area Page 3 Strength of Material (Formula & Short Notes) Stress and strain Stress = Force / Area Brinell Hardness Number (BHN) Elastic constants: where, P = Standard load, D = Diameter of steel ball, and d = Diameter of the indent. Page 4 Strength of Material (Formula & Short Notes) Stress and strain Stress = Force / Area Brinell Hardness Number (BHN) Elastic constants: where, P = Standard load, D = Diameter of steel ball, and d = Diameter of the indent. Axial Elongation of Bar Prismatic Bar Due to External Load ?= ???? ???? Elongation of Prismatic Bar Due to Self Weight ?= ???? ?????? = ?? ?? ?? ???? Where ?? is specific weight Elongation of Tapered Bar • Circular Tapered ?= ?????? ?? ?? ?? ?? ?? ?? • Rectangular Tapered ?= ???? ?????? ?? ( ?? 2 ?? 1 ) ?? . ?? (?? 2 - ?? 1 ) Stress Induced by Axial Stress and Simple Shear • Normal stress • Tangential stress Principal Stresses and Principal Planes • Major principal stress • Major principal stress Page 5 Strength of Material (Formula & Short Notes) Stress and strain Stress = Force / Area Brinell Hardness Number (BHN) Elastic constants: where, P = Standard load, D = Diameter of steel ball, and d = Diameter of the indent. Axial Elongation of Bar Prismatic Bar Due to External Load ?= ???? ???? Elongation of Prismatic Bar Due to Self Weight ?= ???? ?????? = ?? ?? ?? ???? Where ?? is specific weight Elongation of Tapered Bar • Circular Tapered ?= ?????? ?? ?? ?? ?? ?? ?? • Rectangular Tapered ?= ???? ?????? ?? ( ?? 2 ?? 1 ) ?? . ?? (?? 2 - ?? 1 ) Stress Induced by Axial Stress and Simple Shear • Normal stress • Tangential stress Principal Stresses and Principal Planes • Major principal stress • Major principal stress Principal Strain Mohr’s Circle- STRAIN ENERGY Energy Methods: (i) Formula to calculate the strain energy due to axial loads (tension): U = ? P ² / ( 2AE)dx limit 0 toL Where, P = Applied tensile load, L = Length of the member , A = Area of the member, and E = Young’smodulus. (ii) Formula to calculate the strain energy due tobending: U = ? M ² / ( 2EI) dx limit 0 toL Where, M = Bending moment due to applied loads, E = Young’s modulus, and I = Moment of inertia. (iii) Formula to calculate the strain energy due totorsion: U = ? T ² / ( 2GJ) dx limit 0 toLRead More

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