Bending Moment when Strain Energy in Bending is Given Calculator

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Engineering	Civil ↺
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Beams	Strain Energy in Structural Members ↺

✖The Strain energy is defined as the energy stored in a body due to deformation. ⓘ Strain Energy [U]			+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]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%

✖The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment when Strain Energy in Bending is Given [M]

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Bending Moment when Strain Energy in Bending is Given

Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

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

Surface Area of a Rectangular Prism

Surface Area=2*(Length*Width+Length*Height+Width*Height) GO

Angular Momentum

Angular Momentum=Moment of Inertia*Angular Velocity GO

Perimeter of a rectangle when diagonal and length are given

Perimeter=2*(Length+sqrt((Diagonal)^2-(Length)^2)) GO

Magnetic Flux

Magnetic Flux=Magnetic Field*Length*Breadth*cos(θ) GO

Area of a Rectangle when length and diagonal are given

Area=Length*(sqrt((Diagonal)^2-(Length)^2)) GO

Diagonal of a Rectangle when length and breadth are given

Diagonal=sqrt(Length^2+Breadth^2) GO

Strain

Strain=Change In Length/Length GO

Surface Tension

Surface Tension=Force/Length GO

Perimeter of a rectangle when length and width are given

Perimeter=2*Length+2*Width GO

Volume of a Rectangular Prism

Volume=Width*Height*Length GO

Area of a Rectangle when length and breadth are given

Area=Length*Breadth GO

< 11 Other formulas that calculate the same Output

Bending moment at a distance x from end A

Bending moment=((Load per unit length*(Length of Shaft^2))/12)+((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2) GO

Total Bending Moment when Unit Stress in Compressive Reinforcing Steel is Given

Bending moment=Moment of Inertia Transformed Beam*Unit Stress in Compressive Reinforcing Steel/(2*Elasticity Ratio of Steel to Concrete*Distance Neutral to Compressive Reinforcing Steel) GO

Axial Load for Tied Columns

Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment) GO

Maximum bending moment at a distance x from end A

Bending moment=((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2) GO

Total Bending Moment when Unit Stress in Tensile Reinforcing Steel is Given

Bending moment=Unit Stress in tensile Reinforcing Steel*Moment of Inertia Transformed Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel) GO

Bending Moment when Cross-Sectional Area of Compressive Reinforcing is Given

Bending moment=(Elasticity Ratio of Steel to Concrete*Compressive Stress*Depth of the Beam*Area of Compressive Reinforcement)+Bending Moment Tensile Reinforcing GO

Total Bending Moment when Unit Stress in Extreme Fiber of Concrete is Given

Bending moment=Unit Stress in Fiber of Concrete*Moment of Inertia Transformed Beam/Distance Neutral to face of Concrete GO

Axial Load for Spiral Columns

Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement GO

Bending Moment when Moment Resisting Capacity of Compressive Steel and Concrete is Given

Bending moment=moment resistance compressive steel+Moment Resistance of Concrete GO

Bending Moment when Total Cross-Sectional Area of Tensile Reinforcing is Given

Bending moment=Cross sectional area*7*Reinforcement Stress*Depth of the Beam/8 GO

Bending Moment when Stress in Concrete is Given

Bending moment=(Stress*Ratio k*Ratio j*Beam Width*Depth of the Beam^2)/2 GO

Bending Moment when Strain Energy in Bending is Given Formula

Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length)
M=sqrt(U*(2*E*I)/l)

More formulas

Stress using Hook's Law GO

Shear Load when Strain Energy in Shear is Given GO

Strain Energy in Shear GO

Length over which Deformation Takes Place when Strain Energy in Shear is Given GO

Shear Area when Strain Energy in Shear is Given GO

Shear Modulus of Elasticity when Strain Energy in Shear is Given GO

Strain Energy in Shear when Shear Deformation is Given GO

Strain Energy in Torsion GO

Torque when Strain Energy in Torsion is Given GO

Length over which Deformation Takes Place when Strain Energy in Torsion is Given GO

Polar Moment of Inertia when Strain Energy in Torsion is Given GO

Shear Modulus of Elasticity when Strain Energy in Torsion is Given GO

Strain Energy in Torsion when Angle of Twist is Given GO

Strain Energy in Bending GO

Length over which Deformation Takes Place when Strain Energy in Bending is Given GO

Modulus of Elasticity when Strain Energy in Bending is Given GO

Moment of Inertia when Strain Energy in Bending is Given GO

Strain Energy in Bending when Angle Through which One Beam Rotates wrt Other End is Given GO

How do you convert bending moments to stress?

In both cases, the stress (normal for bending, and shear for torsion) is equal to a couple/moment (M for bending, and T for torsion) times the location along the cross section, because the stress isn't uniform along the cross section (with Cartesian coordinates for bending, and cylindrical coordinates for torsion)

How to Calculate Bending Moment when Strain Energy in Bending is Given?

Bending Moment when Strain Energy in Bending is Given calculator uses Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length) to calculate the Bending moment, The Bending Moment when Strain Energy in Bending is Given formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending moment and is denoted by M symbol.

How to calculate Bending Moment when Strain Energy in Bending is Given using this online calculator? To use this online calculator for Bending Moment when Strain Energy in Bending is Given, enter Strain Energy (U), Modulus Of Elasticity (E), Moment of Inertia (I) and Length (l) and hit the calculate button. Here is how the Bending Moment when Strain Energy in Bending is Given calculation can be explained with given input values -> 612.3724 = sqrt(50*(2*10000*1.125)/3).

FAQ

What is Bending Moment when Strain Energy in Bending is Given?

The Bending Moment when Strain Energy in Bending is Given formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M=sqrt(U*(2*E*I)/l) or Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length). The Strain energy is defined as the energy stored in a body due to deformation. , 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, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis and Length is the measurement or extent of something from end to end.

How to calculate Bending Moment when Strain Energy in Bending is Given?

The Bending Moment when Strain Energy in Bending is Given formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length). To calculate Bending Moment when Strain Energy in Bending is Given, you need Strain Energy (U), Modulus Of Elasticity (E), Moment of Inertia (I) and Length (l). With our tool, you need to enter the respective value for Strain Energy, Modulus Of Elasticity, Moment of Inertia and Length 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 Bending moment?

In this formula, Bending moment uses Strain Energy, Modulus Of Elasticity, Moment of Inertia and Length. We can use 11 other way(s) to calculate the same, which is/are as follows -

Bending moment=(Stress*Ratio k*Ratio j*Beam Width*Depth of the Beam^2)/2
Bending moment=Cross sectional area*7*Reinforcement Stress*Depth of the Beam/8
Bending moment=(Elasticity Ratio of Steel to Concrete*Compressive Stress*Depth of the Beam*Area of Compressive Reinforcement)+Bending Moment Tensile Reinforcing
Bending moment=Unit Stress in tensile Reinforcing Steel*Moment of Inertia Transformed Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)
Bending moment=Moment of Inertia Transformed Beam*Unit Stress in Compressive Reinforcing Steel/(2*Elasticity Ratio of Steel to Concrete*Distance Neutral to Compressive Reinforcing Steel)
Bending moment=Unit Stress in Fiber of Concrete*Moment of Inertia Transformed Beam/Distance Neutral to face of Concrete
Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement
Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)
Bending moment=((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2)
Bending moment=((Load per unit length*(Length of Shaft^2))/12)+((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2)
Bending moment=moment resistance compressive steel+Moment Resistance of Concrete

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