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)
MbR = funit stress*IA/(n*cs)
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
MbR = funit stress*IA/(n*cs) --> 100100*0.0001/(0.34*0.595)
Evaluating ... ...
MbR = 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 00.004 seconds)

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Osmania University (OU), Hyderabad
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9 Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section
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 Compressive Reinforcing Steel
Go Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)
Unit Stress in Compressive Reinforcing Steel
Go Unit Stress in Compressive Reinforcing Steel = 2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Compressive Reinforcing Steel/Moment of Inertia of Beam
Distance from Neutral Axis to Tensile Reinforcing Steel
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
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
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 Extreme Fiber of Concrete
Go Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA
Distance from Neutral Axis to Face of Concrete
Go Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section
Unit Stress in Extreme Fiber of Concrete
Go Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Formula

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)
MbR = funit stress*IA/(n*cs)

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 MbR 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 (funit stress), Moment of Inertia of Beam (IA), Elasticity Ratio of Steel to Concrete (n) & Distance Neutral to Tensile Reinforcing Steel (cs) 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 MbR = funit stress*IA/(n*cs) 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 (funit stress), Moment of Inertia of Beam (IA), Elasticity Ratio of Steel to Concrete (n) & Distance Neutral to Tensile Reinforcing Steel (cs). 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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