Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Formula

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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. Check FAQs
MbR=funit stressIAncs
MbR - Bending Moment?funit stress - Unit Stress in Tensile Reinforcing Steel?IA - Moment of Inertia of Beam?n - Elasticity Ratio of Steel to Concrete?cs - Distance Neutral to Tensile Reinforcing Steel?

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Example

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Here is how the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel equation looks like with Values.

Here is how the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel equation looks like with Units.

Here is how the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel equation looks like.

49.481Edit=100.1Edit1E+8Edit0.34Edit595Edit
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Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Solution

Follow our step by step solution on how to calculate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?

FIRST Step Consider the formula
MbR=funit stressIAncs
Next Step Substitute values of Variables
MbR=100.1MPa1E+8mm⁴0.34595mm
Next Step Convert Units
MbR=100100kPa0.0001m⁴0.340.595m
Next Step Prepare to Evaluate
MbR=1001000.00010.340.595
Next Step Evaluate
MbR=49.4809688581315N*m
LAST Step Rounding Answer
MbR=49.481N*m

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel Formula Elements

Variables
Bending Moment
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.
Symbol: MbR
Measurement: Moment of ForceUnit: N*m
Note: Value should be greater than 0.
Unit Stress in Tensile Reinforcing Steel
Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.
Symbol: funit stress
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Moment of Inertia of Beam
Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
Symbol: IA
Measurement: Second Moment of AreaUnit: mm⁴
Note: Value should be greater than 0.
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.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Distance Neutral to Tensile Reinforcing Steel
Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.
Symbol: cs
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Check for Stress in Beams category

​Go Moment of Inertia of Transformed Beam Section
ITB=(0.5b(Kd2))+2(mElastic-1)As'(csc2)+mElastic(cs2)A
​Go Distance from Neutral Axis to Tensile Reinforcing Steel
cs=funit stressIAnBM
​Go Unit Stress in Tensile Reinforcing Steel
funit stress=nBMcsIA
​Go Distance from Neutral Axis to Compressive Reinforcing Steel
csc=fscIA2nBM

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

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel evaluator 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 evaluate 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 evaluate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel using this online evaluator? To use this online evaluator 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.

FAQs on Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

What is the formula to find Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?
The formula of Total Bending Moment given Unit Stress in Tensile Reinforcing Steel is expressed as 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). Here is an example- 49.43154 = 100100000*0.0001/(0.34*0.595).
How to calculate Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?
With 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) we can find Total Bending Moment given Unit Stress in Tensile Reinforcing Steel using the 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).
Can the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel be negative?
No, the Total Bending Moment given Unit Stress in Tensile Reinforcing Steel, measured in Moment of Force cannot be negative.
Which unit is used to measure Total Bending Moment given Unit Stress in Tensile Reinforcing Steel?
Total Bending Moment given Unit Stress in Tensile Reinforcing Steel is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Total Bending Moment given Unit Stress in Tensile Reinforcing Steel can be measured.
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