Modulus of Elasticity Calculator

Category	Engineering ↺
Engineering	Civil ↺
Civil	Concrete ↺
Concrete	Properties in the Hardened State ↺

✖Weight of Concrete can be defined as the weight of cement and weight of fine aggregateⓘ Weight of Concrete [W]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%

✖Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity [E]

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M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 100+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement

Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) GO

Ultimate Strength for No Compression Reinforcement

Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement*Force ratio of strengths of reinforcements)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*(Area ratio of tensile reinforcement*Eccentricity by method of frame analysis*Force ratio of strengths of reinforcements/Distance from Compression to Tensile Reinforcement))) GO

Balanced Moment when Φ is Given

Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) GO

Ultimate Strength for Symmetrical Reinforcement in Single Layers

Axial Load Capacity=Capacity reduction factor*((Area of Compressive Reinforcement*Yield strength of reinforcing steel/((Eccentricity/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of compression face*Depth of column*28 Day Compressive Strength of Concrete/((3*Depth of column*Eccentricity/(Distance from Compression to Tensile Reinforcement^2))+1.18))) GO

Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given

Area of Compressive Reinforcement=((Axial Load Capacity/Resistance Factor)-(.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(area of tension reinforcement*Tensile Stress in Steel))/Yeild Strength of Base Plate GO

Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given

area of tension reinforcement=((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel GO

Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given

Tensile Stress in Steel=((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/area of tension reinforcement GO

Axial-Load Capacity of Short Rectangular Members

Axial Load Capacity=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(area of tension reinforcement*Tensile Stress in Steel)) GO

Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given

Yield Strength=(Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement GO

Column Ultimate Strength with Zero Eccentricity of Load

Ultimate strength=0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement)+Yield Strength*Area of Reinforcement GO

Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate

Allowable Bearing Pressure=0.35*28 Day Compressive Strength of Concrete GO

< 11 Other formulas that calculate the same Output

Elastic Modulus of Concrete when Ultimate Shear Connector Strength for Welded Studs is Given

Modulus Of Elasticity=(((Ultimate Shear Connector Strength/(0.4*Diameter *Diameter ))^2)/28 Day Compressive Strength of Concrete) GO

Young's Modulus of the Bolt When Stiffness of the Bolt is Given

Modulus Of Elasticity=(stiffness of the bolt*total thickness of parts held together by the bolt*4)/((Nominal Diameter^2)*pi) GO

Elasticity Modulus when Allowable Unit Stress on Timber Columns for a Single Member is Given

Modulus Of Elasticity=total allowable load*((unsupported length of column/Radius of gyration)^2)/(3.619*area of column) GO

Elasticity Modulus when Allowable Compressive Stress in a Rectangular Section is Given

Modulus Of Elasticity=(ACS parallel to grain in given column*(Unbraced Length of the member/least dimension)^2)/0.3 GO

modulus of elasticity when Bulking stress For diameters greater than 126.5r/K is given

Modulus Of Elasticity= (Bulking stress*(Soil stiffness factor*Pipe Diameter /Least Radius of Gyration)^2)/12 GO

Elasticity Modulus when Allowable Unit Stress of Circular Timber Columns is Given

Modulus Of Elasticity=(Allowable Unit Stress*((unsupported length of column/least dimension)^2))/0.22 GO

Elasticity Modulus when Allowable Unit Stress of Square or Rectangular Timber Columns is Given

Modulus Of Elasticity=(Allowable Unit Stress*((unsupported length of column/least dimension)^2))/0.3 GO

Modulus of Elasticity when Strain Energy in Bending is Given

Modulus Of Elasticity=Length*(Bending moment^2)/(2*Strain Energy*Moment of Inertia) GO

Modulus of elasticity when flexibility factor is given

Modulus Of Elasticity= Pipe Diameter^2/(Flexibility factor*Moment of Inertia) GO

Modulus of Elasticity if compressive stress and strain is known

Modulus Of Elasticity=(Compressive stress/Compressive strain) GO

Modulus of Elasticity if tensile stress and strain is known

Modulus Of Elasticity=(Tensile Stress/Tensile Strain) GO

Modulus of Elasticity Formula

Modulus Of Elasticity= ((Weight of Concrete)^1.5)*33* sqrt(28 Day Compressive Strength of Concrete)
E= ((W<sub></sub>)^1.5)*33* sqrt(f<sub>c)

More formulas

28-Day Concrete Compressive Strength GO

28-Day Concrete Compressive Strength when Water Cement Ratio is Given GO

Water Cement Ratio when 28-Day Concrete Compressive Strength is Given GO

Modulus of Elasticity for Normal Weight Concrete GO

What is modulus of elasticity?

An elastic modulus is a quantity that measures an object's resistance to being deformed elastically when stress is applied to it.

How to Calculate Modulus of Elasticity?

Modulus of Elasticity calculator uses Modulus Of Elasticity= ((Weight of Concrete)^1.5)*33* sqrt(28 Day Compressive Strength of Concrete) to calculate the Modulus Of Elasticity, The Modulus of Elasticity is defined as a solid material that will undergo elastic deformation when a small load is applied to it in compression or extension. Modulus Of Elasticity and is denoted by E symbol.

How to calculate Modulus of Elasticity using this online calculator? To use this online calculator for Modulus of Elasticity, enter Weight of Concrete (W) and 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button. Here is how the Modulus of Elasticity calculation can be explained with given input values -> 1.044E+7 = ((1000)^1.5)*33* sqrt(100000000).

FAQ

What is Modulus of Elasticity?

The Modulus of Elasticity is defined as a solid material that will undergo elastic deformation when a small load is applied to it in compression or extension and is represented as E= ((W)^1.5)*33* sqrt(f_c) or Modulus Of Elasticity= ((Weight of Concrete)^1.5)*33* sqrt(28 Day Compressive Strength of Concrete). Weight of Concrete can be defined as the weight of cement and weight of fine aggregate and 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

How to calculate Modulus of Elasticity?

The Modulus of Elasticity is defined as a solid material that will undergo elastic deformation when a small load is applied to it in compression or extension is calculated using Modulus Of Elasticity= ((Weight of Concrete)^1.5)*33* sqrt(28 Day Compressive Strength of Concrete). To calculate Modulus of Elasticity, you need Weight of Concrete (W) and 28 Day Compressive Strength of Concrete (f_c). With our tool, you need to enter the respective value for Weight of Concrete and 28 Day Compressive Strength of Concrete and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Modulus Of Elasticity?

In this formula, Modulus Of Elasticity uses Weight of Concrete and 28 Day Compressive Strength of Concrete. We can use 11 other way(s) to calculate the same, which is/are as follows -

Modulus Of Elasticity=Length*(Bending moment^2)/(2*Strain Energy*Moment of Inertia)
Modulus Of Elasticity=(Tensile Stress/Tensile Strain)
Modulus Of Elasticity=(Compressive stress/Compressive strain)
Modulus Of Elasticity=total allowable load*((unsupported length of column/Radius of gyration)^2)/(3.619*area of column)
Modulus Of Elasticity=(Allowable Unit Stress*((unsupported length of column/least dimension)^2))/0.3
Modulus Of Elasticity=(Allowable Unit Stress*((unsupported length of column/least dimension)^2))/0.22
Modulus Of Elasticity=(ACS parallel to grain in given column*(Unbraced Length of the member/least dimension)^2)/0.3
Modulus Of Elasticity=(((Ultimate Shear Connector Strength/(0.4*Diameter *Diameter ))^2)/28 Day Compressive Strength of Concrete)
Modulus Of Elasticity=(stiffness of the bolt*total thickness of parts held together by the bolt*4)/((Nominal Diameter^2)*pi)
Modulus Of Elasticity= Pipe Diameter^2/(Flexibility factor*Moment of Inertia)
Modulus Of Elasticity= (Bulking stress*(Soil stiffness factor*Pipe Diameter /Least Radius of Gyration)^2)/12

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