Unit Stress in Tensile Reinforcing Steel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
funit stress = n*BM*cs/IA
This formula uses 5 Variables
Variables Used
Unit Stress in Tensile Reinforcing Steel - (Measured in Pascal) - Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.
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.
Bending Moment of Considered Section - (Measured in Newton Meter) - Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.
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.
Moment of Inertia of Beam - (Measured in Meter⁴) - Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
STEP 1: Convert Input(s) to Base Unit
Elasticity Ratio of Steel to Concrete: 0.34 --> No Conversion Required
Bending Moment of Considered Section: 49.5 Kilonewton Meter --> 49500 Newton Meter (Check conversion ​here)
Distance Neutral to Tensile Reinforcing Steel: 595 Millimeter --> 0.595 Meter (Check conversion ​here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
funit stress = n*BM*cs/IA --> 0.34*49500*0.595/0.0001
Evaluating ... ...
funit stress = 100138500
STEP 3: Convert Result to Output's Unit
100138500 Pascal -->100.1385 Megapascal (Check conversion ​here)
FINAL ANSWER
100.1385 Megapascal <-- Unit Stress in Tensile Reinforcing Steel
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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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)

Unit Stress in Tensile Reinforcing Steel Formula

​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
funit stress = n*BM*cs/IA

Define Stress?

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

How to Calculate Unit Stress in Tensile Reinforcing Steel?

Unit Stress in Tensile Reinforcing Steel calculator uses 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 to calculate the Unit Stress in Tensile Reinforcing Steel, The Unit Stress in Tensile Reinforcing Steel formula is defined as the total force acting on the unit area of the body. Unit Stress in Tensile Reinforcing Steel is denoted by funit stress symbol.

How to calculate Unit Stress in Tensile Reinforcing Steel using this online calculator? To use this online calculator for Unit Stress in Tensile Reinforcing Steel, enter Elasticity Ratio of Steel to Concrete (n), Bending Moment of Considered Section (BM), Distance Neutral to Tensile Reinforcing Steel (cs) & Moment of Inertia of Beam (IA) and hit the calculate button. Here is how the Unit Stress in Tensile Reinforcing Steel calculation can be explained with given input values -> 0.0001 = 0.34*49500*0.595/0.0001.

FAQ

What is Unit Stress in Tensile Reinforcing Steel?
The Unit Stress in Tensile Reinforcing Steel formula is defined as the total force acting on the unit area of the body and is represented as funit stress = n*BM*cs/IA or 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. Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete, Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section, Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel & Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
How to calculate Unit Stress in Tensile Reinforcing Steel?
The Unit Stress in Tensile Reinforcing Steel formula is defined as the total force acting on the unit area of the body is calculated using 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. To calculate Unit Stress in Tensile Reinforcing Steel, you need Elasticity Ratio of Steel to Concrete (n), Bending Moment of Considered Section (BM), Distance Neutral to Tensile Reinforcing Steel (cs) & Moment of Inertia of Beam (IA). With our tool, you need to enter the respective value for Elasticity Ratio of Steel to Concrete, Bending Moment of Considered Section, Distance Neutral to Tensile Reinforcing Steel & Moment of Inertia of Beam 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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