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Strength of Materials
Young's Modulus in Strength of Materials Formulas
Young’s Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. And is denoted by E. Young's Modulus is usually measured using the Megapascal for Stress. Note that the value of Young's Modulus is always negative.
Formulas to find Young's Modulus in Strength of Materials
f
x
Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain
Go
f
x
Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight
Go
f
x
Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight
Go
f
x
Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area
Go
f
x
Modulus of Elasticity using Elongation of Circular Tapering Rod
Go
f
x
Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section
Go
f
x
Modulus of Elasticity given Temperature Stress for Tapering Rod Section
Go
f
x
Modulus of Elasticity using Hoop Stress due to Temperature Fall
Go
f
x
Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight
Go
f
x
Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight
Go
f
x
Modulus of Elasticity with given Strain Energy
Go
f
x
Modulus of Elasticity of Member given Strain Energy Stored by Member
Go
f
x
Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume
Go
f
x
Modulus of Elasticity given Deflection in Leaf Spring and Moment
Go
f
x
Modulus of Elasticity in Leaf Spring given Deflection
Go
f
x
Modulus of Elasticity given Proof Load on Leaf Spring
Go
f
x
Modulus of Elasticity given Proof Load in Quarter Elliptical Spring
Go
f
x
Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring
Go
Strength of Materials formulas that make use of Young's Modulus
f
x
Hoop Stress due to Temperature Fall
Go
f
x
Diameter of Wheel given Hoop Stress due to Temperature Fall
Go
f
x
Diameter of Tyre given Hoop Stress due to Temperature Fall
Go
f
x
Hoop Stress due to Temperature Fall given Strain
Go
f
x
Strain for Hoop Stress due to Temperature Fall
Go
f
x
Length of Circular Tapering Rod when deflection due to load
Go
f
x
Self Weight of Prismatic Bar with known Elongation
Go
f
x
Load on Prismatic Bar with known Elongation due to Self Weight
Go
f
x
Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar
Go
f
x
Self Weight of Conical section with known Elongation
Go
f
x
Elongation of Conical bar due to Self Weight
Go
f
x
Length of Bar given Elongation of Conical Bar due to Self Weight
Go
f
x
Elongation of Conical Bar due to Self Weight with known Cross-sectional area
Go
f
x
Length of Bar using Elongation of Conical Bar with Cross-sectional area
Go
f
x
Load on Conical Bar with known Elongation due to Self Weight
Go
f
x
Elongation of Circular Tapering Rod
Go
f
x
Load at End with known Extension of Circular Tapering Rod
Go
f
x
Elongation of Prismatic Rod
Go
f
x
Length of Circular Tapering rod
Go
f
x
Diameter at One End of Circular Tapering Rod
Go
f
x
Diameter at Other End of Circular Tapering Rod
Go
f
x
Length of Circular Tapered Rod with Uniform Cross Section
Go
f
x
Diameter of Circular Tapered Rod with Uniform Cross Section
Go
f
x
Thickness of Tapered Bar using Temperature Stress
Go
f
x
Change in Temperature using Temperature Stress for Tapering Rod
Go
f
x
Temperature Stress for Tapering Rod Section
Go
f
x
Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section
Go
f
x
Elongation of Truncated Conical Rod due to Self Weight
Go
f
x
Specific weight of Truncated Conical Rod using its elongation due to Self Weight
Go
f
x
Length of Rod of Truncated Conical Section
Go
f
x
Elongation due to Self Weight in Prismatic Bar
Go
f
x
Length of Bar using Elongation due to Self Weight in Prismatic bar
Go
f
x
Elongation due to Self Weight in Prismatic Bar using Applied Load
Go
f
x
Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight
Go
f
x
Stress using Hook's Law
Go
f
x
Strain Energy in Bending
Go
f
x
Bending Moment using Strain Energy
Go
f
x
Length over which Deformation takes place using Strain Energy
Go
f
x
Moment of Inertia using Strain Energy
Go
f
x
Strain Energy for Pure Bending when Beam rotates in One End
Go
f
x
Strain Energy Stored by Member
Go
f
x
Length of Member given Strain Energy Stored by Member
Go
f
x
Area of Member given Strain Energy Stored by Member
Go
f
x
Stress of Member given Strain Energy Stored by Member
Go
f
x
Strain Energy Stored per Unit Volume
Go
f
x
Stress generated due to Strain Energy Stored per Unit Volume
Go
f
x
Stress due to Impact Load
Go
f
x
Deflection in Leaf Spring given Moment
Go
f
x
Moment of Inertia given Deflection in Leaf Spring
Go
f
x
Moment given Deflection in Leaf Spring
Go
f
x
Length given Deflection in Leaf Spring
Go
f
x
Deflection in Leaf Spring given Load
Go
f
x
Load given Deflection in Leaf Spring
Go
f
x
Number of plates given Deflection in Leaf Spring
Go
f
x
Width given Deflection in Leaf Spring
Go
f
x
Thickness given Deflection in Leaf Spring
Go
f
x
Proof Load on Leaf Spring
Go
f
x
Number of Plates given Proof Load on Leaf Spring
Go
f
x
Width given Proof Load on Leaf Spring
Go
f
x
Thickness given Proof Load on Leaf Spring
Go
f
x
Deflection given Proof Load on Leaf Spring
Go
f
x
Length given Proof Load on Leaf Spring
Go
f
x
Proof Load in Quarter Elliptical Spring
Go
f
x
Number of Plates given Proof Load in Quarter Elliptical Spring
Go
f
x
Width given Proof Load in Quarter Elliptical Spring
Go
f
x
Thickness given Proof Load in Quarter Elliptical Spring
Go
f
x
Length given Proof Load in Quarter Elliptical Spring
Go
f
x
Deflection given Proof Load in Quarter Elliptical Spring
Go
f
x
Maximum Bending Stress at Proof Load of Leaf Spring
Go
f
x
Thickness given Maximum Bending Stress at Proof Load of Leaf Spring
Go
f
x
Deflection given Maximum Bending Stress at Proof Load of Leaf Spring
Go
f
x
Length given Maximum Bending Stress at Proof Load of Leaf Spring
Go
List of variables in Strength of Materials formulas
f
x
Hoop Stress SOM
Go
f
x
Strain
Go
f
x
Specific Weight
Go
f
x
Length
Go
f
x
Elongation
Go
f
x
Tapered Bar Length
Go
f
x
Applied Load SOM
Go
f
x
Length of Tapered Bar
Go
f
x
Area of Cross-Section
Go
f
x
Applied Load
Go
f
x
Diameter1
Go
f
x
Diameter2
Go
f
x
Diameter of Shaft
Go
f
x
Thermal Stress
Go
f
x
Section Thickness
Go
f
x
Coefficient of Linear Thermal Expansion
Go
f
x
Change in Temperature
Go
f
x
Depth of Point 2
Go
f
x
Depth of Point 1
Go
f
x
Diameter of Tyre
Go
f
x
Wheel Diameter
Go
f
x
Specific Weight of Rod
Go
f
x
Length of Member
Go
f
x
Bending Moment
Go
f
x
Strain Energy
Go
f
x
Area Moment of Inertia
Go
f
x
Direct Stress
Go
f
x
Strain Energy stored by Member
Go
f
x
Strain Energy Density
Go
f
x
Length in Spring
Go
f
x
Deflection of Spring
Go
f
x
Spring Load
Go
f
x
Deflection of Leaf Spring
Go
f
x
Number of Plates
Go
f
x
Width of Cross Section
Go
f
x
Thickness of Section
Go
f
x
Proof Load on Leaf Spring
Go
f
x
Proof Load on Elliptical Spring
Go
f
x
Maximum Bending Stress at Proof Load
Go
FAQ
What is the Young's Modulus?
Young’s Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Young's Modulus is usually measured using the Megapascal for Stress. Note that the value of Young's Modulus is always negative.
Can the Young's Modulus be negative?
Yes, the Young's Modulus, measured in Stress can be negative.
What unit is used to measure Young's Modulus?
Young's Modulus is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Young's Modulus can be measured.
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