Unit Stress in Compressive Reinforcing Steel Calculator

✖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%
✖Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.ⓘ Bending Moment of Considered Section [B_M]			+10% -10%
✖Distance Neutral to Compressive Reinforcing Steel is the length in between the neutral axis and the compressive reinforcing steel.ⓘ Distance Neutral to Compressive Reinforcing Steel [c_sc]			+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%

✖Unit Stress in Compressive Reinforcing Steel is the total force acting on the unit area of the body.ⓘ Unit Stress in Compressive Reinforcing Steel [f_sc]

⎘ Copy

👎

Formula

✖

Unit Stress in Compressive Reinforcing Steel

Formula

`"f"_{"sc"} = 2*"n"*"B"_{"M"}*"c"_{"sc"}/"I"_{"A"}`

Example

`"8.489052MPa"=2*"0.34"*"49.5kN*m"*"25.22mm"/"10E7mm⁴"`

Calculator

LaTeX

Reset

👍

Download Doubly Reinforced Rectangular Sections Formulas PDF

Unit Stress in Compressive Reinforcing Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
f_sc = 2*n*B_M*c_sc/I_A
This formula uses 5 Variables

Variables Used

Unit Stress in Compressive Reinforcing Steel - (Measured in Pascal) - Unit Stress in Compressive 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 Compressive Reinforcing Steel - (Measured in Meter) - Distance Neutral to Compressive Reinforcing Steel is the length in between the neutral axis and the compressive 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 Compressive Reinforcing Steel: 25.22 Millimeter --> 0.02522 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

f_sc = 2*n*B_M*c_sc/I_A --> 2*0.34*49500*0.02522/0.0001

Evaluating ... ...

f_sc = 8489052

STEP 3: Convert Result to Output's Unit

8489052 Pascal -->8.489052 Megapascal (Check conversion here)

FINAL ANSWER

8.489052 Megapascal <-- Unit Stress in Compressive Reinforcing Steel

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Analysis Using Working Stress Method » Doubly Reinforced Rectangular Sections » Check for Stress in Beams » Unit Stress in Compressive Reinforcing Steel

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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

Unit Stress in Compressive Reinforcing Steel Formula

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 Compressive Reinforcing Steel?

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

How to calculate Unit Stress in Compressive Reinforcing Steel using this online calculator? To use this online calculator for Unit Stress in Compressive Reinforcing Steel, enter Elasticity Ratio of Steel to Concrete (n), Bending Moment of Considered Section (B_M), Distance Neutral to Compressive Reinforcing Steel (c_sc) & Moment of Inertia of Beam (I_A) and hit the calculate button. Here is how the Unit Stress in Compressive Reinforcing Steel calculation can be explained with given input values -> 8.5E-6 = 2*0.34*49500*0.02522/0.0001.

FAQ

What is Unit Stress in Compressive Reinforcing Steel?

The Unit Stress in Compressive Reinforcing Steel formula is defined as the total force acting on the unit area of the body and is represented as f_sc = 2*n*B_M*c_sc/I_A or 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. 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 Compressive Reinforcing Steel is the length in between the neutral axis and the compressive reinforcing steel & Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.

How to calculate Unit Stress in Compressive Reinforcing Steel?

The Unit Stress in Compressive Reinforcing Steel formula is defined as the total force acting on the unit area of the body is calculated using 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. To calculate Unit Stress in Compressive Reinforcing Steel, you need Elasticity Ratio of Steel to Concrete (n), Bending Moment of Considered Section (B_M), Distance Neutral to Compressive Reinforcing Steel (c_sc) & Moment of Inertia of Beam (I_A). 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 Compressive 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.

Home

FREE PDFs

🔍 Search