Bending moment from bending stress Calculator

Category	Physics ↺
Physics	Machine Design ↺
Machine-Design	Design of Machine Elements ↺
Design-Of-Machine-Elements	Design Against Static Load ↺
Design-Against-Static-Load

✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bendⓘ Bending Stress [𝛔_b]			+10% -10%
✖The Area Moment Of Inertia valueⓘ Area Moment Of Inertia [I]			+10% -10%
✖The Distance from neutral axis valueⓘ Distance from neutral axis [y]			+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 from bending stress [M]

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Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 200+ more calculators!

Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

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

Actual Stiffener Spacing when Minimum Moment of Inertia of a Transverse Stiffener is Given

Spacing of Stirrups=(-Area Moment Of Inertia+(sqrt(Area Moment Of Inertia^2+20*Breadth of the web^5*Overall depth of column^2)))/(4*Breadth of the web^2) GO

Bending stress at a fiber

Bending Stress=(Bending moment*Distance from the Neutral axis)/(Area of cross section*(Eccentricity)*(Radius of neutral axis-Distance from neutral axis)) GO

Web Thickness when Minimum Moment of Inertia of a Transverse Stiffener is Given

Breadth of the web=(Area Moment Of Inertia/(Spacing of Stirrups*(2.5*Overall depth of column^2/Breadth of the web^2-2)))^(1/3) GO

Web Thickness when Moment of Inertia is Given

Breadth of the web=(Area Moment Of Inertia/Height of the Section*(2.4*((Stirrup Spacing/Height of the Section)^2)-0.13))^(1/3) GO

Moment of Inertia from bending moment and bending stress

Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress GO

Stress due to bending moment

Bending Stress=(Bending moment*Distance from neutral axis)/Area Moment Of Inertia GO

Shear Range due to Live and Impact Load when Horizontal Shear Range is Given

Shear Range=Horizontal Shearing Stress*Area Moment Of Inertia/Static Moment GO

Static Moment of Transformed Section when Horizontal Shear Range is Given

Static Moment=Horizontal Shearing Stress*Area Moment Of Inertia/Shear Range GO

Horizontal Shear Range at the juncture of Slab and Beam

Horizontal Shearing Stress=Shear Range*Static Moment/Area Moment Of Inertia GO

Radius of gyration if moment of inertia and area is known

Radius of gyration=sqrt(Area Moment Of Inertia/Area of cross section) GO

Volume of body in fluid for metacentric height and BG

Volume=Area Moment Of Inertia/(Metacentric height+length BG) 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 Strain Energy in Bending is Given

Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length) 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 from bending stress Formula

Bending moment=(Bending Stress*Area Moment Of Inertia)/Distance from neutral axis
M=(𝛔<sub>b</sub>*I)/y

More formulas

Factor of safety for ductile materials GO

Allowable stress for ductile material GO

Yield strength for ductile materials GO

Factor of safety for brittle materials GO

Allowable stress for brittle materials GO

Ultimate tensile strength for brittle materials GO

Stress due to bending moment GO

Moment of Inertia from bending moment and bending stress GO

Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth GO

Moment of inertia of rectangular cross-section along centroidal axis parallel to length GO

Moment of inertia of a circular cross-section about the diameter GO

Shear Stress due to torsional moment GO

angle of twist (in radians) GO

Polar moment of inertia of hollow circular cross-section GO

Polar moment of inertia of the circular cross-section GO

angle of twist for solid cylindrical rod in degrees GO

angle of twist for hollow cylindrical rod in degrees GO

Power transmitted GO

Torsional moment from shear stress GO

Polar moment of inertia from shear stress and torsional moment GO

Surface finish factor GO

What is bending moment?

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.

How to Calculate Bending moment from bending stress?

Bending moment from bending stress calculator uses Bending moment=(Bending Stress*Area Moment Of Inertia)/Distance from neutral axis to calculate the Bending moment, The Bending moment from bending stress formula is defined as the ratio of the product of bending stress and moment of inertia to distance from the neutral axis. . Bending moment and is denoted by M symbol.

How to calculate Bending moment from bending stress using this online calculator? To use this online calculator for Bending moment from bending stress, enter Bending Stress (𝛔_b), Area Moment Of Inertia (I) and Distance from neutral axis (y) and hit the calculate button. Here is how the Bending moment from bending stress calculation can be explained with given input values -> 50 = (50*1)/1.

FAQ

What is Bending moment from bending stress?

The Bending moment from bending stress formula is defined as the ratio of the product of bending stress and moment of inertia to distance from the neutral axis. and is represented as M=(𝛔_b*I)/y or Bending moment=(Bending Stress*Area Moment Of Inertia)/Distance from neutral axis. The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend, The Area Moment Of Inertia value and The Distance from neutral axis value.

How to calculate Bending moment from bending stress?

The Bending moment from bending stress formula is defined as the ratio of the product of bending stress and moment of inertia to distance from the neutral axis. is calculated using Bending moment=(Bending Stress*Area Moment Of Inertia)/Distance from neutral axis. To calculate Bending moment from bending stress, you need Bending Stress (𝛔_b), Area Moment Of Inertia (I) and Distance from neutral axis (y). With our tool, you need to enter the respective value for Bending Stress, Area Moment Of Inertia and Distance from neutral axis 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 Bending Stress, Area Moment Of Inertia and Distance from neutral axis. We can use 11 other way(s) to calculate the same, which is/are as follows -

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

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