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Shear Stress In Beam

Shear Stress At A Section

- Area of the section above considered level
- Distance of C.G of the area(above considered level) from neutral axis
- Moment of the inertia of section about neutral axis
- Shear force at the section
- Shear force at the section if shear area is known
- Shear stress at the section
- Width of the beam at considered level

Shear Stress Distribution For Different Sections

Circular Section

- Average shear force for circular section
- Average shear stress for circular section
- Average Shear stress for circular section in terms of Maximum shear stress
- Maximum shear force if only maximum shear stress and radius of circular section are known
- Maximum shear stress for circular section
- Maximum Shear stress for circular section in terms of average shear stress
- Maximum shear stress if only shear force and radius of circular section is known
- Moment of inertia of circular section if shear stress is known
- Moment of inertia of the circular section
- Moment of inertia of the circular section if maximum shear stress is known
- Moment of the shaded area (area above considered layer) about neutral axis
- 9 More formulas!

I Section

Shear Stress Distribution In The Flange

- Area of the flange(area above the considered section)
- Distance of C.G of the area(area above the considered section)of flange from neutral axis
- Distance of the considered section from neutral axis if shear stress in the flange is given
- Distance of the considered section from neutral axis(for the lower edge of flange)
- Distance of the considered section from neutral axis(for the upper edge of flange)
- Inner length of the I-section if shear stress for the lower edge of flange is given
- Moment of inertia of section for I-section
- Moment of inertia of the I-section if shear stress for the lower edge of flange is given
- Outer length of I-section if shear stress in the flange is known
- Outer length of the I-section if shear stress for the lower edge of flange is given
- Shear force distribution in the I-section(for the lower edge of flange)
- 5 More formulas!

Shear Stress Distribution In The Web

- Distance of considered level from neutral axis(at junction of top of web)
- Maximum shear force(at neutral axis)
- Maximum shear stress(at neutral axis)
- Moment of inertia of section if maximum shear stress and force is known
- Moment of inertia of section if shear stress at the junction of top of web is known
- Moment of inertia of section if shear stress of web is known
- Moment of the flanged area about neutral axis
- Moment of the shaded area of web about neutral axis
- Shear force in the web
- Shear force(at junction of top of web)
- Shear stress in the web
- 8 More formulas!

Rectangular Section

- Average shear stress for the rectangular section
- Average shear stress if maximum shear stress is given(rectangular section)
- Distance of C.G of the area(area above considered level)from neutral axis for rectangular section
- Distance of the considered level from neutral axis for rectangular section
- Maximum shear stress for the rectangular section
- Moment of inertia of the rectangular section about neutral axis
- Shear force for the rectangular section
- Shear force variation across neutral axis for rectangular section
- Shear stress for the rectangular section
- Shear stress variation across neutral axis for rectangular section

Bending Stress In Beam

Section Modulus

- Distance of the outermost layer from neutral axis in terms of maximum moment of resistance
- Distance of the outermost layer from neutral axis in terms of section modulus
- Maximum moment of resistance
- Maximum moment of resistance in terms of section modulus
- Maximum stress if maximum moment of resistance and section modulus is given
- Maximum stress if maximum moment of resistance is known
- Moment of inertia about neutral axis in terms of maximum moment of resistance
- Moment of inertia about neutral axis in terms of section modulus
- Section modulus
- Section modulus in terms of maximum moment of resistance

Section Modulus For Various Beams Or Shape Sections

Circular Section

- Diameter of circular section if distance of the outermost layer from neutral layer is known
- Diameter of circular section if moment of inertia about neutral axis is given
- Diameter of circular section if section modulus is given
- Distance of the outermost layer from neutral layer in circular sections
- Moment of inertia about neutral axis for circular section
- Section modulus for circular section

Rectangular Section

- Breadth of rectangular section in terms of section modulus
- Distance of outermost layer from neutral layer for rectangular section
- Length of rectangular section if distance of outermost layer from neutral layer is known
- Length of rectangular section in terms of section modulus
- Section modulus for rectangular section

Stress Variation

- Distance between the considered layer and neutral layer
- Distance between the considered layer and neutral layer in terms of force on the layer
- Distance between the considered layer and the neutral layer in terms of moment of resistance
- Force on the layer in terms of stress on the layer
- Force on the layer in terms of young's modulus of beam
- Moment of inertia of area of section in terms of moment of resistance and young's modulus of beam
- Moment of inertia of the area of section in terms of moment of resistance and stress in the layer
- Moment of resistance
- Moment of resistance in terms of stress in the layer
- Radius of neutral axis in terms of moment of resistance
- Radius of neutral layer
- 8 More formulas!

Direct And Bending Stress

Kernel Of Hollow Circular Section

- Bending stress for a hollow circular section in terms of diameter
- Bending stress for a hollow circular section in terms of eccentric load and eccentricity
- Bending stress for hollow circular section
- Diameter of kernel for hollow circular section
- Eccentric Load in terms of bending stress on hollow circular section
- Eccentricity in terms of bending stress on hollow circular section
- Inner diameter of hollow circular section if diameter of kernel is given
- Internal diameter in terms of maximum eccentricity of load for hollow circular section
- Maximum value of eccentricity of load for hollow circular section
- Moment due to eccentric load in terms of bending stress on hollow circular section
- Section modulus hollow circular section
- 3 More formulas!

Kernel Of Hollow Rectangular Section

- Distance of outermost layer from neutral axis for hollow rectangular section
- External length of hollow rectangular section if section modulus about yy axis is known
- External width of hollow rectangular section if section modulus about xx axis is known
- Internal length of hollow rectangular section if section modulus about xx axis is known
- Internal length of hollow rectangular section if section modulus about yy axis is known
- Internal width of hollow rectangular section if section modulus about xx axis is known
- Maximum eccentricity of load about x axis for hollow rectangular section
- Maximum eccentricity of load about y axis for hollow rectangular section
- Moment of inertia about xx axis for hollow rectangular section
- Section modulus about xx axis for hollow rectangular section in terms length and width of section
- Section modulus about xx axis for hollow rectangular section in terms of moment of inertia
- 3 More formulas!

Middle Quarter Rule For Circular Section

- Condition for maximum bending stress
- Condition for maximum bending stress in terms of diameter
- Diameter of a Circular Section if Direct Stress for the Circular Section is Given
- Diameter of circular section if maximum value of eccentricity is known(for no tensile stress case)
- Diameter of circular section in terms of maximum bending stress
- Direct stress for circular section
- Eccentric load if direct stress for a circular section is given
- Eccentric load in terms of maximum bending stress
- Eccentric load in terms of minimum bending stress
- Eccentricity of load in terms of maximum bending stress
- Eccentricity of load in terms of minimum bending stress
- 8 More formulas!

Resultant Stress

Rectangular Section Is Subjected To Load Eccentric To Both Axis

- Bending stress due to eccentricity about x-x axis
- Bending stress due to eccentricity about x-x axis in terms of eccentric load on column
- Bending stress due to eccentricity about y-y axis
- Bending stress due to eccentricity about y-y axis in terms of eccentric load on column
- Distance of load point from x axis if bending stress about x-x axis is known
- Distance of load point from x axis if bending stress about x-x axis is known
- Eccentric load on column if bending stress along x-x axis is known
- Eccentric load on column if bending stress along y-y axis is known
- Eccentricity of load about X-X axis
- Eccentricity of load about x-x axis if bending stress about x-x axis is known
- Eccentricity of load about Y-Y axis
- 8 More formulas!

Rectangular Section Is Subjected To Eccentric Load

- Bending stress in terms of eccentric load and eccentricity
- Bending stress in terms of moment due to load
- Depth of column in terms of bending stress and eccentric load
- Depth of column in terms of bending stress and moment due to load
- Eccentric load in terms of bending stress
- Eccentric load in terms of maximum stress
- Eccentric load in terms of minimum stress
- Eccentricity if moment due to eccentric load is given
- Eccentricity in terms of bending stress
- Eccentricity in terms of maximum stress
- Eccentricity in terms of minimum stress
- 11 More formulas!

Stress and Strain

Analysis of Bar

Elongation of Bar Due Its Own Weight

- Elongation of the element
- Length of bar if total elongation and weight per unit volume of bar is given
- Length of the bar if total elongation of bar is known
- Modulus of elasticity if total elongation of bar is known
- Strain in the element
- Stress on the element
- Total elongation of the bar
- Total elongation of the bar if weight per unit volume of bar is known
- Weight of the bar for a length x
- Weight of the bar if total elongation of bar is known

Direct Strains of the Diagonal

- Modulus of rigidity in terms of young's modulus and poisson's ratio
- Poisson's ratio if tensile strain due to compressive stress in diagonal BD is known
- Poisson's ratio in terms of modulus of rigidity and Young's modulus
- Shear strain in diagonal in terms of tensile strain for square block
- Tensile strain in diagonal in terms of shear strain for square block.
- Tensile strain in the diagonal BD of square block ABCD due to compressive stress
- Tensile strain in the diagonal BD of square block ABCD due to tensile stress
- Total compressive strain in the diagonal AC of square block ABCD
- Total tensile strain in diagonal BD of square block ABCD in terms of modulus of rigidity
- Total tensile strain in the diagonal BD of square block ABCD
- Young's modulus in terms of modulus of rigidity and poisson's ratio
- 1 More formulas!

Elastic Constants

Volumetric Strain

- Bulk modulus in terms of direct stress
- Bulk modulus in terms of young's modulus and poisson's ratio
- Direct stress if bulk modulus and volumetric strain are given
- Lateral strain if volumetric and longitudinal strain are given
- Longitudinal strain if volumetric and lateral strain are given
- Longitudinal strain if volumetric strain and poisson's ratio are given
- Poisson's ratio if volumetric strain and longitudinal strain are known
- Poisson's ratio in terms of bulk modulus and young's modulus
- Volumetric strain if bulk modulus is known
- Volumetric strain if change in length and poisson's ratio are given
- Volumetric strain if change in length, breadth and width is given
- 7 More formulas!

Mohr's Circle

Mohr's Circle When A Body Is Subjected To Two Mutual Perpendicular And A Simple Shear Stress

- Condition for maximum value of normal stress
- Condition for minimum value of normal stress
- Maximum value of normal stress
- Minimum value of normal stress
- Normal stress on the oblique plane(two mutually perpendicular unequal stresses)
- Shear stress on the oblique plane(two mutually perpendicular and unequal stress)

Principal Stresses And Strains

- Condition for maximum or minimum shear stress(Member under direct and shear stress)
- Major principal stress(Member subjected to two perpendicular direct stress and a shear stress)
- Maximum axial force
- Maximum shear stress
- Maximum shear stress(Member under direct and shear stress)
- Minor principal stress(Member subjected to two perpendicular direct stress and a shear stress)
- Normal stress for an oblique section
- Normal stress for principal planes (planes at angle of 0 degree)
- Normal stress for principal planes (planes at angle of 0 degree)
- Normal stress for principal planes (planes at angle of 90 degree)
- Normal stress if obliquity is given
- 10 More formulas!

Relationship Between Stress and Strain

- Compressive strain if the modulus of elasticity and compressive stress is known
- Compressive stress if the modulus of elasticity and compressive strain are known
- Factor of safety
- Lateral strain in terms of decrease in breadth
- Lateral strain in terms of decrease in depth
- Lateral strain in terms of poisson's ratio
- Longitudinal strain
- Longitudinal strain in terms of poisson's ratio
- Modulus of Elasticity if compressive stress and strain is known
- Modulus of elasticity if normal stress and corresponding strain is known
- Modulus of Elasticity if tensile stress and strain is known
- 9 More formulas!

Strain Energy

- Load applied suddenly, in terms of stress induced by sudden applied load
- Maximum strain energy stored in the body( When the load is applied suddenly)
- Modulus of resilience
- Modulus of resilience if stress induced is given
- Modulus of resilience if total strain energy is given
- Proof resilience
- Proof resilience if stress induced is known
- Strain energy stored in the body
- Stress induced in the body in terms of strain energy stored in the body
- Stress induced in the body in terms of work done by the load
- Volume of the body if modulus of resilience is known
- 2 More formulas!

Strain Energy Stored In A Body Due To Shear Stress

- Average load value if work done by gradually applied shear force is known
- Shear strain Produced if work done by gradually applied shear force is known
- Shear stress produced if strain energy stored in a body due to shear stress is known
- Shear stress Produced if work done by gradually applied shear force is known
- Strain energy stored in a body due to shear stress
- Work done by gradually applied shear force in terms of average load
- Work done by gradually applied shear force in terms of shear strain
- Work done by gradually applied shear force in terms of shear stress

Strain Energy Stored In A Body When The Load Is Applied With Impact

- Cross-sectional area of the rod if stress induced in rod due to impact load is known
- Height through which load is dropped if stress induced in rod due to impact load is known
- Height through which load is dropped if work done by load is known
- Length of the rod if stress induced in rod due to impact load is known
- Load dropped if stress induced in rod due to impact load is known
- Stress induced in rod due to impact load
- Stress induced in rod due to impact load(If height through which load is dropped=0)
- Value of load applied with impact if work done by the load is known
- Value of load dropped(If height through which load is dropped=0)
- Work done by the load(If extension of rod due to load is small)

Thermal Stress

- Actual expansion when the support yields
- Actual strain when the support yields, if value of actual expansion is given
- Actual strain when the support yields, in terms of coefficient of linear expansion
- Actual stress when the support yields, if value of actual strain is given
- Actual stress when the support yields, in terms of coefficient of linear expansion
- Extension of the rod if the rod is free to extend
- Thermal strain
- Thermal strain if thermal stress is given
- Thermal strain in terms of coefficient of linear expansion
- Thermal stress if thermal strain is given
- Thermal stress in terms of coefficient of linear expansion
- 1 More formulas!

Types of Stresses

- Axial push acting on body if compressive stress is known
- Compressive strain due to external push acting on the body
- Compressive stress if axial push acting on body is known
- Compressive stress if resisting force is known
- Resisting force if compressive stress is known
- Resisting force if tensile stress is known
- Shear resistance if shear stress is known
- Shear strain if transversal displacement is known
- Shear stress if shear resistance is known
- Tensile load if tensile stress is known
- Tensile strain due to pull acting on the body
- 4 More formulas!

Thin Cylinders And Spheres

Change In Dimension Of A Thin Spherical Shell Due To An Internal Pressure

- Change in diameter of thin spherical shell
- Diameter of spherical shell in terms of change in diameter of thin spherical shells
- Diameter of thin spherical shell in terms of strain in any one direction
- Hoop stress induced in thin spherical shell in terms of strain in any one direction
- Hoop stress induced in thin spherical shell in terms of strain in any one direction
- Internal fluid pressure in terms of change in diameter of thin spherical shells
- Internal fluid pressure in thin spherical shell in terms of strain in any one direction
- Modulus of elasticity for thin spherical shell in terms of strain and internal fluid pressure
- Modulus of elasticity in terms of change in diameter of thin spherical shells
- Modulus of elasticity of thin spherical shell in terms of strain in any one direction
- Poisson's ratio for thin spherical shell in terms of strain and internal fluid pressure
- 7 More formulas!

Effect Of Internal Pressure On Dimension Of Thin Cylindrical Shell

- Change in circumference of vessel due to pressure in terms of circumferential strain
- Change in diameter in thin cylindrical strain in terms of volumetric strain
- Change in diameter of cylindrical shell in terms of change in volume of cylindrical shell
- Change in diameter of thin cylindrical vessel in terms of circumferential strain
- Change in diameter of vessel in terms of internal fluid pressure
- Change in length in thin cylindrical strain in terms of volumetric strain
- Change in length of cylindrical shell in terms of change in volume of cylindrical shell
- Change in length of thin cylindrical shell in terms of internal fluid pressure
- Change in length of thin cylindrical vessel in terms of longitudinal strain
- Change in volume in terms of circumferential strain and longitudinal strain
- Change in volume of cylindrical shell in terms of volumetric strain
- 59 More formulas!

Efficiency Of A Joint

- Efficiency of circumferential joint in terms of longitudinal stress
- Efficiency of longitudinal joint in terms of hoop stress
- Hoop stress if efficiency of longitudinal joint is known
- Internal diameter of vessel in terms of hoop stress and efficiency of longitudinal joint
- Internal diameter of vessel in terms of longitudinal stress and efficiency of circumferential joint
- Internal fluid pressure in terms of longitudinal stress & efficiency of circumferential joint
- Internal fluid pressure in vessel in terms of hoop stress and efficiency of longitudinal joint
- Longitudinal stress if efficiency of circumferential joint is known
- Thickness of vessel in terms of hoop stress and efficiency of longitudinal joint
- Thickness of vessel in terms of longitudinal stress and efficiency of circumferential joint

Hoop Stress

- Force due to circumferential stress in thin cylindrical vessel
- Force due to fluid pressure in thin cylindrical vessel
- Hoop stress
- Hoop stress in terms of force due to circumferential stress in thin cylindrical vessel
- Internal diameter of vessel in terms of Force due to fluid pressure in thin cylindrical vessel
- Internal diameter of vessel in terms of hoop stress
- Internal pressure of fluid in terms of Force due to fluid pressure in thin cylindrical vessel
- Internal pressure of fluid in vessel in terms of hoop stress
- Length of vessel in terms of force due to circumferential stress in thin cylindrical vessel
- Length of vessel in terms of Force due to fluid pressure in thin cylindrical vessel
- Thickness of vessel in terms of hoop stress
- 2 More formulas!

Longitudinal stress

- Hoop stress in thin cylindrical vessel in terms of longitudinal stress
- Internal diameter of vessel in terms of Longitudinal stress in the cylindrical vessel material
- Internal diameter of vessel in terms of resisting force on thin cylindrical vessel
- Internal pressure of fluid in terms of Longitudinal stress in the cylindrical vessel material
- Longitudinal stress in the cylindrical vessel material
- Longitudinal stress in the material in terms of resisting force on thin cylindrical vessel
- Longitudinal stress in thin cylindrical vessel in terms of hoop stress
- Resisting force on thin cylindrical vessel
- Thickness of cylindrical vessel in terms of resisting force on thin cylindrical vessel
- Thickness of vessel in terms of Longitudinal stress in the cylindrical vessel material

Thin Cylindrical Vessel Subjected To Internal Fluid Pressure And Torque

- Major principal stress in thin cylindrical stress
- Major principal stress in thin cylindrical stress in terms of maximum shear stress
- Maximum shear stress in thin cylindrical stress
- Minor principal stress in thin cylindrical stress
- Minor principal stress in thin cylindrical stress in terms of maximum shear stress

Wire winding Of Thin Cylinders

- Area of cross-section of wire in terms of resisting force on wire
- Bursting force due to fluid pressure
- Bursting force of cylinder in terms of stress due to fluid pressure
- Circumferential strain in cylinder
- Circumferential stress due to fluid pressure in terms of resisting force of cylinder
- Circumferential stress due to fluid pressure in terms of resultant stress in cylinder
- Circumferential stress in cylinder due to fluid in terms of bursting force due to fluid pressure
- Circumferential stress in cylinder in terms of circumferential strain in cylinder
- Compressive circumferential stress exerted by wire in terms of initial winding stress in wire
- Compressive circumferential stress exerted by wire in terms of resultant stress in cylinder
- Compressive circumferential stress exerted by wire on cylinder in terms of compressive force
- 52 More formulas!

Torsion Of Shafts And Springs

Deviation Of Shear Stress Produced In A Circular Shaft Subjected To Torsion

- Angle of twist if shear strain at outer surface of shaft is known
- Angle of twist if shear stress induced at radius 'r' from center of shaft is given
- Angle of twist if shear stress induced at surface of shaft is known
- Length of shaft if shear strain at outer surface of shaft is known
- Length of shaft if shear stress induced at radius 'r' from center of shaft is given
- Length of shaft if shear stress induced at surface of shaft is known
- Modulus of rigidity of material of shaft if shear stress induced at surface of shaft is known
- Modulus of rigidity of shaft if shear stress induced at radius 'r' from center of shaft is given
- Radius of shaft if shear strain at outer surface of shaft is known
- Radius of shaft if shear stress induced at radius 'r' from center of shaft is given
- Radius of shaft if shear stress-induced at surface of shaft is known
- 7 More formulas!

Expression For Strain Energy Stored In A Body Due To Torsion

- Inner diameter of shaft if total strain energy in the hollow shaft is given
- Length of shaft in terms of shear strain energy in ring of radius 'r'
- Length of shaft in terms of total strain energy stored in the shaft
- Modulus of rigidity in terms of shear strain energy
- Modulus of rigidity of shaft if total strain energy in the hollow shaft is given
- Modulus of rigidity of shaft in terms of shear strain energy in ring of radius 'r'
- Modulus of rigidity of shaft in terms of total strain energy in shaft due to torsion
- Modulus of rigidity of shaft in terms of total strain energy stored in the shaft
- Polar moment of inertia of shaft in terms of total strain energy stored in the shaft
- Radius of shaft in terms of shear strain energy in ring of radius 'r'
- Radius of shaft in terms of shear stress at radius 'r' from center
- 19 More formulas!

Expression For Torque In Terms Of Polar Moment Of Inertia

- Angle of twist for shaft in terms of polar moment of inertia and modulus of rigidity
- Diameter of shaft in terms of polar moment of inertia of the shaft
- Length of shaft in terms of polar moment of inertia and modulus of rigidity
- Maximum shear stress in shaft in terms of polar moment of inertia
- Modulus of rigidity of shaft in terms of Torque transmitted and Polar moment of inertia
- Polar moment of inertia of shaft in terms of Torque transmitted and modulus of rigidity
- Polar moment of inertia of shaft in terms of torque transmitted by the shaft
- Polar moment of inertia of the shaft
- Radius of shaft in terms of polar moment of inertia
- Torque transmitted by shaft in terms of polar moment of inertia
- Torque transmitted by shaft in terms of polar moment of inertia and modulus of rigidity
- 1 More formulas!

Flanged Coupling

- Diameter of bolt in terms of maximum load that can be resisted by one bolt
- Diameter of bolt in terms of torque resisted by n bolts
- Diameter of bolt in terms of torque resisted by one bolt
- Diameter of bolt pitch circle in terms of torque resisted by n bolts
- Diameter of bolt pitch circle in terms of torque resisted by one bolt
- Diameter of the shaft in terms of torque transmitted by the shaft
- Maximum load that can be resisted by one bolt
- Number of bolts in terms of torque resisted by n bolts
- Shear stress in the bolt in terms of maximum load that can be resisted by one bolt
- Shear stress in the bolt in terms of torque resisted by n bolts
- Shear stress in the bolt in terms of torque resisted by one bolt
- 6 More formulas!

Polar Modulus

- Diameter of solid shaft in terms of polar modulus
- Inner diameter of hollow shaft in terms of polar modulus
- Polar modulus
- Polar modulus of hollow shaft
- Polar modulus of solid shaft
- Polar moment of inertia in terms of polar modulus
- Polar moment of inertia of of hollow shaft
- Polar moment of inertia of of solid shaft
- Radius of shaft in terms of polar modulus

Springs

Helical Springs

- Average load on spring
- Axial load of spring in if deflection and stiffness of spring is given
- Axial load on spring in terms of deflection of spring
- Axial load on spring in terms of strain energy stored by spring
- Axial load on spring in terms of work done on spring
- Axial loading on spring
- Axial loading on spring in terms of maximum shear stress induced in the wire
- Deflection in terms of average load on spring
- Deflection of spring
- Deflection of spring in terms of stiffness of spring
- Deflection of spring in terms of work done on spring
- 30 More formulas!

Leaf Spring

- Bending moment at center in terms of point load acting at the center of spring load
- Bending moment at the center of the leaf spring
- Bending moment on each plate in terms of total resisting moment by n plates
- Bending moment on single plate
- Central deflection of leaf spring
- Central deflection of the leaf spring if modulus of elasticity is given
- Load at one end in terms of bending moment at the center of the leaf spring
- Maximum bending moment developed in the plate in terms of bending moment on single plate
- Maximum bending moment developed in the plate in terms of total resisting moment by n plates
- Maximum bending stress developed in plates in terms of point load at center
- Maximum bending stress developed in terms of central deflection of the leaf spring
- 29 More formulas!

Torque Transmitted By A Hollow Circular Shaft

- Maximum shear stress at the outer surface in terms of total turning moment on hollow circular shaft
- Maximum shear stress at the outer surface in terms of total turning moment on hollow circular shaft
- Maximum shear stress induced at outer surface if shear stress of elementary ring is known
- Maximum shear stress induced at outer surface in terms of turning force on the elementary ring
- Maximum shear stress induced at outer surface in terms of turning moment on the elementary ring
- Outer radius of shaft if shear stress of elementary ring is known
- Outer radius of shaft in terms of turning force on the elementary ring
- Outer radius of shaft in terms of turning force on the elementary ring
- Radius of elementary ring if shear stress of elementary ring is known
- Radius of elementary ring if turning force of elementary ring is known
- Radius of elementary ring if turning moment of elementary ring is known
- 6 More formulas!

Torsion Of Tapering Shafts

- Diameter of the shaft at the left end
- Length of the shaft in terms of total angle of twist for the shaft
- Modulus of rigidity of the shaft in terms of total angle of twist for the shaft
- Shear stress on the left surface of shaft
- Torque on the shaft in terms of total angle of twist for the shaft
- Torque on the tapering shaft
- Total angle of twist for the shaft

Torsional Rigidity

- Angle of twist for shaft in terms of torsional rigidity
- Length of shaft in terms of torsional rigidity
- Modulus of rigidity in terms of torsional rigidity
- Polar moment of inertia in terms of torsional rigidity
- Torque on shaft in terms of torsional rigidity
- Torsional rigidity
- Torsional rigidity in terms of torque and length of shaft

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