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Bending Moment when Radial Stress in a Member is Given Calculator

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Adjustment-Factors-For-Design-Values Radial Stresses and Curvature Factor ↺
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [fr]
+10%
-10%
✖Radius of Curvature at Centerline of Member in (mm). ⓘ Radius of Curvature at Centerline of Member [R]
+10%
-10%
✖Width of Cross Section in (mm). ⓘ Width of Cross Section [w]
+10%
-10%
✖Depth of Cross Section, in (mm).ⓘ Depth of Cross Section [d]
+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 Radial Stress in a Member is Given [M]
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Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 300+ more calculators!
Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

6 Other formulas that you can solve using the same Inputs

Shear Capacity for Girders with Transverse Stiffeners
Shear Capacity for Flexural Members=0.58*yield strength of steel*Depth of Cross Section*Breadth of the web*(Shear buckling coefficient C+((1-Shear buckling coefficient C)/((1.15*(1+(Clear distance between transverse stiffeners/Height of cross section)^2)^0.5)))) GO
Radius of Curvature when Radial Stress in a Member is Given
Radius of Curvature at Centerline of Member=(3*Bending moment)/(2*Radial Stress*Width of Cross Section*Depth of Cross Section) GO
Cross Section Width when Radial Stress in a Member is Given
Width of Cross Section=(3*Bending moment)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Depth of Cross Section) GO
Cross Section Depth when Radial Stress in a Member is Given
Depth of Cross Section=(3*Bending moment)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section) GO
Radial Stress Induced by Bending Moment in a Member
Radial Stress=3*Bending moment/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section) GO
Slenderness Ratio for Beams
Slenderness Ratio for Beams=sqrt((Effective Column Length*Depth of Cross Section)/(Width of Cross Section)^2) 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 when Radial Stress in a Member is Given Formula

Bending moment=(2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)/3
M=(2*f<sub>r</sub>*R*w*d)/3
More formulas
Radial Stress Induced by Bending Moment in a Member GO
Radius of Curvature when Radial Stress in a Member is Given GO
Cross Section Width when Radial Stress in a Member is Given GO
Cross Section Depth when Radial Stress in a Member is Given GO
Curvature Factor for Adjustment in Design Value for Curved Portions of Wood 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.

What is Radial Stress?

Radial Stress is stress towards or away from the central axis of a component. Radial stresses in curved beams are generally computed using only the bending moment.

How to Calculate Bending Moment when Radial Stress in a Member is Given?

Bending Moment when Radial Stress in a Member is Given calculator uses Bending moment=(2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)/3 to calculate the Bending moment, The Bending Moment when Radial Stress in a Member is Given formula is defined by the parameters radius of curvature at centerline of member R, width of cross section b and depth of cross section d. Bending moment and is denoted by M symbol.

How to calculate Bending Moment when Radial Stress in a Member is Given using this online calculator? To use this online calculator for Bending Moment when Radial Stress in a Member is Given, enter Radial Stress (fr), Radius of Curvature at Centerline of Member (R), Width of Cross Section (w) and Depth of Cross Section (d) and hit the calculate button. Here is how the Bending Moment when Radial Stress in a Member is Given calculation can be explained with given input values -> 0.08 = (2*100*0.12*0.1*0.1)/3.

FAQ

What is Bending Moment when Radial Stress in a Member is Given?
The Bending Moment when Radial Stress in a Member is Given formula is defined by the parameters radius of curvature at centerline of member R, width of cross section b and depth of cross section d and is represented as M=(2*fr*R*w*d)/3 or Bending moment=(2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)/3. Radial Stress induced by a bending moment in a member of constant cross section, Radius of Curvature at Centerline of Member in (mm). , Width of Cross Section in (mm). and Depth of Cross Section, in (mm).
How to calculate Bending Moment when Radial Stress in a Member is Given?
The Bending Moment when Radial Stress in a Member is Given formula is defined by the parameters radius of curvature at centerline of member R, width of cross section b and depth of cross section d is calculated using Bending moment=(2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)/3. To calculate Bending Moment when Radial Stress in a Member is Given, you need Radial Stress (fr), Radius of Curvature at Centerline of Member (R), Width of Cross Section (w) and Depth of Cross Section (d). With our tool, you need to enter the respective value for Radial Stress, Radius of Curvature at Centerline of Member, Width of Cross Section and Depth of Cross Section 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 Radial Stress, Radius of Curvature at Centerline of Member, Width of Cross Section and Depth of Cross Section. 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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