FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Bending Moment when Stress is Applied at Point in Curved Beam Formula

Fx Copy

LaTeX Copy

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. Check FAQs

M = (\frac{S \cdot A \cdot R}{1 + (\frac{y}{Z \cdot (R + y)})})

M - Bending Moment?S - Stress?A - Cross Sectional Area?R - Radius of Centroidal Axis?y - Distance from Neutral Axis?Z - Cross-Section Property?

Bending Moment when Stress is Applied at Point in Curved Beam Example

With values

With units

Only example

Here is how the Bending Moment when Stress is Applied at Point in Curved Beam equation looks like with Values.

Here is how the Bending Moment when Stress is Applied at Point in Curved Beam equation looks like with Units.

Here is how the Bending Moment when Stress is Applied at Point in Curved Beam equation looks like.

57 = (\frac{33.25 \cdot 0.04 \cdot 50}{1 + (\frac{25}{2 \cdot (50 + 25)})})

57kN*m = (\frac{33.25MPa \cdot 0.04m² \cdot 50mm}{1 + (\frac{25mm}{2 \cdot (50mm + 25mm)})})

57 = (\frac{33.25 \cdot 0.04 \cdot 50}{1 + (\frac{25}{2 \cdot (50 + 25)})})

Tip: Use pencil ( Pencil

Pencil

) icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

HomeIcon

Home » Category

Category

Engineering » Category

Category

Civil » Category

Category

Strength of Materials » fx Bending Moment when Stress is Applied at Point in Curved Beam

Bending Moment when Stress is Applied at Point in Curved Beam Solution

Follow our step by step solution on how to calculate Bending Moment when Stress is Applied at Point in Curved Beam?

FIRST Step Consider the formula

M = (\frac{S \cdot A \cdot R}{1 + (\frac{y}{Z \cdot (R + y)})})

Next Step Substitute values of Variables

∴

M = (\frac{33.25MPa \cdot 0.04m² \cdot 50mm}{1 + (\frac{25mm}{2 \cdot (50mm + 25mm)})})

Next Step Convert Units

∴

M = (\frac{3.3E+7Pa \cdot 0.04m² \cdot 0.05m}{1 + (\frac{0.025m}{2 \cdot (0.05m + 0.025m)})})

Next Step Prepare to Evaluate

∴

M = (\frac{3.3E+7 \cdot 0.04 \cdot 0.05}{1 + (\frac{0.025}{2 \cdot (0.05 + 0.025)})})

Next Step Evaluate

∴

M = 57000N*m

LAST Step Convert to Output's Unit

∴

M = 57kN*m

Bending Moment when Stress is Applied at Point in Curved Beam Formula Elements

Variables

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.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Bending Moment

Open Variable

Stress

Stress at the cross section of curved beam.

Symbol: S

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress

Open Variable

Cross Sectional Area

The Cross Sectional Area is the breadth times the depth of the structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Open Variable

Radius of Centroidal Axis

Radius of Centroidal Axis is defined as the radius of the axis that passes through the centroid of the cross section.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Centroidal Axis

Open Variable

Distance from Neutral Axis

Distance from Neutral Axis is the measured between N.A and to the extreme point.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

Open Variable

Cross-Section Property

Cross-Section Property can be found using analytical expressions or geometric integration and determines the stresses that exist in the member under a given load.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cross-Section Property

Open Variable

Other formulas in Curved Beams category

Go Stress at Point for Curved Beam as defined in Winkler-Bach Theory

S = (\frac{M}{A \cdot R}) \cdot (1 + (\frac{y}{Z \cdot (R + y)}))

Go Cross-Sectional Area when Stress is Applied at Point in Curved Beam

A = (\frac{M}{S \cdot R}) \cdot (1 + (\frac{y}{Z \cdot (R + y)}))

How to Evaluate Bending Moment when Stress is Applied at Point in Curved Beam?

Bending Moment when Stress is Applied at Point in Curved Beam evaluator uses Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))) to evaluate the Bending Moment, The Bending Moment when Stress is Applied at Point in Curved Beam formula is defined as ((Stress of Curved Beam*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))). Bending Moment is denoted by M symbol.

How to evaluate Bending Moment when Stress is Applied at Point in Curved Beam using this online evaluator? To use this online evaluator for Bending Moment when Stress is Applied at Point in Curved Beam, enter Stress (S), Cross Sectional Area (A), Radius of Centroidal Axis (R), Distance from Neutral Axis (y) & Cross-Section Property (Z) and hit the calculate button.

FAQs on Bending Moment when Stress is Applied at Point in Curved Beam

What is the formula to find Bending Moment when Stress is Applied at Point in Curved Beam?

The formula of Bending Moment when Stress is Applied at Point in Curved Beam is expressed as Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))). Here is an example- 0.057 = ((33250000*0.04*0.05)/(1+(0.025/(2*(0.05+0.025))))).

How to calculate Bending Moment when Stress is Applied at Point in Curved Beam?

With Stress (S), Cross Sectional Area (A), Radius of Centroidal Axis (R), Distance from Neutral Axis (y) & Cross-Section Property (Z) we can find Bending Moment when Stress is Applied at Point in Curved Beam using the formula - Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))).

Can the Bending Moment when Stress is Applied at Point in Curved Beam be negative?

Yes, the Bending Moment when Stress is Applied at Point in Curved Beam, measured in Moment of Force can be negative.

Which unit is used to measure Bending Moment when Stress is Applied at Point in Curved Beam?

Bending Moment when Stress is Applied at Point in Curved Beam is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Bending Moment when Stress is Applied at Point in Curved Beam can be measured.

Let Others Know

✖

WhatsApp

Copied!