Radial Stress Induced by Bending Moment in Member Calculator

✖Bending Moment for Radial Stress 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 for Radial Stress [M'_b]			+10% -10%
✖Radius of Curvature at Centerline of Member in mm is the radius of the circle that touches the curve at a given point.ⓘ Radius of Curvature at Centerline of Member [R]			+10% -10%
✖Width of Cross Section defines the geometric measurement or extent of the member from side to side.ⓘ Width of Cross Section [w]			+10% -10%
✖Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.ⓘ Depth of Cross Section [d]			+10% -10%

✖The radial stress induced by a bending moment in a member of constant cross-section.ⓘ Radial Stress Induced by Bending Moment in Member [σ_r]

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Radial Stress Induced by Bending Moment in Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)
σ_r = 3*M'_b/(2*R*w*d)
This formula uses 5 Variables

Variables Used

Radial Stress - (Measured in Pascal) - The radial stress induced by a bending moment in a member of constant cross-section.
Bending Moment for Radial Stress - (Measured in Newton Meter) - Bending Moment for Radial Stress is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Radius of Curvature at Centerline of Member - (Measured in Meter) - Radius of Curvature at Centerline of Member in mm is the radius of the circle that touches the curve at a given point.
Width of Cross Section - (Measured in Meter) - Width of Cross Section defines the geometric measurement or extent of the member from side to side.
Depth of Cross Section - (Measured in Meter) - Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

STEP 1: Convert Input(s) to Base Unit

Bending Moment for Radial Stress: 800 Newton Meter --> 800 Newton Meter No Conversion Required
Radius of Curvature at Centerline of Member: 90 Millimeter --> 0.09 Meter (Check conversion here)
Width of Cross Section: 51 Millimeter --> 0.051 Meter (Check conversion here)
Depth of Cross Section: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_r = 3*M'_b/(2*R*w*d) --> 3*800/(2*0.09*0.051*0.2)

Evaluating ... ...

σ_r = 1307189.54248366

STEP 3: Convert Result to Output's Unit

1307189.54248366 Pascal -->1.30718954248366 Megapascal (Check conversion here)

FINAL ANSWER

1.30718954248366 ≈ 1.30719 Megapascal <-- Radial Stress

(Calculation completed in 00.004 seconds)

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< Radial Stresses and Curvature Factor Calculators

Radius of Curvature given Radial Stress in Member

LaTeX Go Radius of Curvature at Centerline of Member = (3*Bending Moment for Radial Stress)/(2*Radial Stress*Width of Cross Section*Depth of Cross Section)

Cross Section Width given Radial Stress in Member

LaTeX Go Width of Cross Section = (3*Bending Moment for Radial Stress)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Depth of Cross Section)

Radial Stress Induced by Bending Moment in Member

LaTeX Go Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)

Bending Moment given Radial Stress in Member

LaTeX Go Bending Moment for Radial Stress = (2*Radial Stress*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)/3

Radial Stress Induced by Bending Moment in Member Formula

LaTeX Go

Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section)
σ_r = 3*M'_b/(2*R*w*d)

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.

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. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Radial Stress Induced by Bending Moment in Member?

Radial Stress Induced by Bending Moment in Member calculator uses Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section) to calculate the Radial Stress, The Radial Stress Induced by Bending Moment in Member formula is defined as influenced by the parameters bending moment, the radius of curvature at the centerline of the member, the width of the cross-section, and the depth of the cross-section. Radial Stress is denoted by σ_r symbol.

How to calculate Radial Stress Induced by Bending Moment in Member using this online calculator? To use this online calculator for Radial Stress Induced by Bending Moment in Member, enter Bending Moment for Radial Stress (M'_b), Radius of Curvature at Centerline of Member (R), Width of Cross Section (w) & Depth of Cross Section (d) and hit the calculate button. Here is how the Radial Stress Induced by Bending Moment in Member calculation can be explained with given input values -> 1.3E-6 = 3*800/(2*0.09*0.051*0.2).

FAQ

What is Radial Stress Induced by Bending Moment in Member?

The Radial Stress Induced by Bending Moment in Member formula is defined as influenced by the parameters bending moment, the radius of curvature at the centerline of the member, the width of the cross-section, and the depth of the cross-section and is represented as σ_r = 3*M'_b/(2*R*w*d) or Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section). Bending Moment for Radial Stress is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Radius of Curvature at Centerline of Member in mm is the radius of the circle that touches the curve at a given point, Width of Cross Section defines the geometric measurement or extent of the member from side to side & Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

How to calculate Radial Stress Induced by Bending Moment in Member?

The Radial Stress Induced by Bending Moment in Member formula is defined as influenced by the parameters bending moment, the radius of curvature at the centerline of the member, the width of the cross-section, and the depth of the cross-section is calculated using Radial Stress = 3*Bending Moment for Radial Stress/(2*Radius of Curvature at Centerline of Member*Width of Cross Section*Depth of Cross Section). To calculate Radial Stress Induced by Bending Moment in Member, you need Bending Moment for Radial Stress (M'_b), Radius of Curvature at Centerline of Member (R), Width of Cross Section (w) & Depth of Cross Section (d). With our tool, you need to enter the respective value for Bending Moment for Radial Stress, Radius of Curvature at Centerline of Member, Width of Cross Section & 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.

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