User talk:Deepsharma1984

By deependra sharma All Mechanical formul's for mechanical engineering

Stress where,      σ=normal stress, or tensile stress, pa                  P=force applied, N                    A=cross-sectional area of the bar, m2                   =shearing stress, Pa                  As=total area in shear, m2 Strain where, =tensile or compressive strain, m=total elongation in a bar, m                 =original length of the bar, m Hooke's Law Stress is proportional to strain where,E=proportionality constant called the elastic modulus or modulus of elasticity or Young’s modulus, Pa Piosson's Ratio where, v=Poisson’s ratio =lateral strai=axial strain Unit Volume Change =change in volume, =original volume,  =strain,  =Poisson’s ratio Elongation due to its weight =total elongation in a material which hangs vertically under its own weight W=weight of the material Thin Rings where, =Circumferential or hoop Stress,  S=Circumferential or hoop tension,                 A=Cross-sectional  =Circumferential strain, E=Young’s modulus Strain Energy where, U=total energy stored in the bar or strain energy P=tensile load =total elongation in the bar L=original length of the bar A=cross-sectional area of the bar E=Young’s modulus U=strain energy per unit volume Thin Walled Pressure vessels where, =normal or circumferential or hoop stress in cylindrical vessel, Pa                =normal or circumferential or hoop stress in spherical vessel,  Pa  and longitudinal stress around the circumference P=internal pressure of cylinder, Pa                 r=internal radius, m                  t=thickness of wall, m Mohr's Circle for Biaxial Stress Pure Shear where,=Shearing Stress, Pa,, =Shearing Strain or angular deformation,                 G=Shear modulus,   E=Young’s modulus, Pa,, V=Poisson’s ratio Torsion formula for Thin walled tubes where, =maximum shearing stress, Pa               =Shearing stress at any point a distance x from the centre of a                           section r=radius of the section, m               d=diameter of a solid circular shaft, m                =polar moment of inertia of a cross-sectional area, m4                T=resisting torque, N-m, N= rpm of shaft ,P=power, kW,  =angle of twist, rad L=length of shaft, m, G=shear modulus, Pa,, do=outer diameter of hollow shaft, m, di=inner diameter of hollow shaft, m

and Torsion formula for Circular Shafts =Ip, polar moment of inertia for thin-walled tubes r=mean radius,                t=wall thickness Flexure Formula where, =Stress on any point of cross-section at distance y from the , neutral axis =stress at outer fibre of the beam c=distance measured from the neutral axis to the most remote fibre of the beam I=moment of inertia of the cross-sectional area about the centroidal axis Shear Stress In Bending where, F=Shear force,  Q=statistical moment about the neutral axis of the cross-section,   b=width, I=moment of inertia of the cross-sectional area about the Centroidal axis. Thin-Walled Hollow Members (Tubes) where,      =shearing stress at any point of a blue, t=thickness of tube, q=shear flow,T=applied torque R=distance between a reference point and segment ds                 Π=angle of twist of a hollow tube Stress Concentration Curved Beam in Pure Bending where,     =normal stress M=bending moment dA=cross-sectional area of an element r=distance of curved surface from the centre of curvature A=cross-sectional area of beam R=distance of neutral axis from the centre of curvature R1=distance of centroidal axis from the centre of curvature Top Bending of a Beam (a) Bending of a Beam Supported at Both Ends (b) Bending of a Beam Fixed at one end where,    d= bending displacement, m                F=force applied, N                I=length of the beam, m                a=width of beam, m                b=thickness of beam, m                 Y=Young’s modulus, N/m2