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Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Calculator

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Check for Stress in Beams

✖Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.ⓘ Unit Stress in Tensile Reinforcing Steel [f_{unit stress}]			+10% -10%
✖Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia of Beam [I_A]			+10% -10%
✖Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete.ⓘ Elasticity Ratio of Steel to Concrete [n]			+10% -10%
✖Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.ⓘ Distance Neutral to Tensile Reinforcing Steel [c_s]			+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.ⓘ Total Bending Moment given Unit Stress in Tensile Reinforcing Steel [Mb_R]

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Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)
Mb_R = f_{unit stress}*I_A/(n*c_s)
This formula uses 5 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - 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.
Unit Stress in Tensile Reinforcing Steel - (Measured in Kilopascal) - Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.
Moment of Inertia of Beam - (Measured in Meter⁴) - Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
Elasticity Ratio of Steel to Concrete - Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete.
Distance Neutral to Tensile Reinforcing Steel - (Measured in Meter) - Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.

STEP 1: Convert Input(s) to Base Unit

Unit Stress in Tensile Reinforcing Steel: 100.1 Megapascal --> 100100 Kilopascal (Check conversion here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)
Elasticity Ratio of Steel to Concrete: 0.34 --> No Conversion Required
Distance Neutral to Tensile Reinforcing Steel: 595 Millimeter --> 0.595 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mb_R = f_{unit stress}*I_A/(n*c_s) --> 100100*0.0001/(0.34*0.595)

Evaluating ... ...

Mb_R = 49.4809688581315

STEP 3: Convert Result to Output's Unit

49.4809688581315 Newton Meter --> No Conversion Required

FINAL ANSWER

49.4809688581315 ≈ 49.48097 Newton Meter <-- Bending Moment

(Calculation completed in 00.020 seconds)

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< Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section

LaTeX Go Moment of Inertia Transformed Beam = (0.5*Beam Width*(Distance from Compression Fiber to NA^2))+2*(Modular Ratio for Elastic Shortening-1)*Area of Compression Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Modular Ratio for Elastic Shortening*(Distance Neutral to Tensile Reinforcing Steel^2)*Area of Tension Reinforcement

Distance from Neutral Axis to Tensile Reinforcing Steel

LaTeX Go Distance Neutral to Tensile Reinforcing Steel = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Tensile Reinforcing Steel

LaTeX Go Unit Stress in Tensile Reinforcing Steel = Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Tensile Reinforcing Steel/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

LaTeX Go Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Formula

LaTeX Go

Define Bending Moment?

In solid mechanics, a 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 Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel calculator uses Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel) to calculate the Bending Moment, The Total Bending Moment given Unit Stress in Tensile Reinforcing Steel 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 is denoted by Mb_R symbol.

How to calculate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel using this online calculator? To use this online calculator for Total Bending Moment given Unit Stress in Tensile Reinforcing Steel, enter Unit Stress in Tensile Reinforcing Steel (f_{unit stress}), Moment of Inertia of Beam (I_A), Elasticity Ratio of Steel to Concrete (n) & Distance Neutral to Tensile Reinforcing Steel (c_s) and hit the calculate button. Here is how the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel calculation can be explained with given input values -> 49.43154 = 100100000*0.0001/(0.34*0.595).

FAQ

What is Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?

The Total Bending Moment given Unit Stress in Tensile Reinforcing Steel 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 Mb_R = f_{unit stress}*I_A/(n*c_s) or Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel). Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body, Moment of Inertia of Beam is a moment about the centroidal axis without considering mass, Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete & Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.

How to calculate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?

The Total Bending Moment given Unit Stress in Tensile Reinforcing Steel 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 = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel). To calculate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel, you need Unit Stress in Tensile Reinforcing Steel (f_{unit stress}), Moment of Inertia of Beam (I_A), Elasticity Ratio of Steel to Concrete (n) & Distance Neutral to Tensile Reinforcing Steel (c_s). With our tool, you need to enter the respective value for Unit Stress in Tensile Reinforcing Steel, Moment of Inertia of Beam, Elasticity Ratio of Steel to Concrete & Distance Neutral to Tensile Reinforcing Steel 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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