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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