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Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio Calculator

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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.ⓘ Bending Moment [Mb_R]			+10% -10%
✖Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.ⓘ Modular Ratio for Elastic Shortening [m_Elastic]			+10% -10%
✖Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d.ⓘ Constant j [j]			+10% -10%
✖Width of Beam is the horizontal measurement taken perpendicular to the length of beam.ⓘ Width of Beam [W_b]			+10% -10%
✖Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Beam [D_B]			+10% -10%

✖Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.ⓘ Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio [f'_s]

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Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)
f'_s = Mb_R/(m_Elastic*j*W_b*D_B^2)
This formula uses 6 Variables

Variables Used

Stress in Compressive Steel - (Measured in Megapascal) - Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.
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.
Modular Ratio for Elastic Shortening - Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.
Constant j - Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d.
Width of Beam - (Measured in Meter) - Width of Beam is the horizontal measurement taken perpendicular to the length of beam.
Depth of Beam - (Measured in Meter) - Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required
Constant j: 0.8 --> No Conversion Required
Width of Beam: 18 Millimeter --> 0.018 Meter (Check conversion here)
Depth of Beam: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f'_s = Mb_R/(m_Elastic*j*W_b*D_B^2) --> 53/(0.6*0.8*0.018*2.7^2)

Evaluating ... ...

f'_s = 841.46217548138

STEP 3: Convert Result to Output's Unit

841462175.48138 Pascal -->841.46217548138 Megapascal (Check conversion here)

FINAL ANSWER

841.46217548138 ≈ 841.4622 Megapascal <-- Stress in Compressive Steel

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio

LaTeX Go Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)

Stress in Concrete

LaTeX Go Stress in Concrete = 2*Bending Moment/(Constant k*Constant j*Width of Beam*Depth of Beam^2)

Stress in Steel

LaTeX Go Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)

Bending Moment given Stress in Concrete

LaTeX Go Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2

Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio Formula

LaTeX Go

Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)
f'_s = Mb_R/(m_Elastic*j*W_b*D_B^2)

Define a Beam?

A beam is a structural element that primarily resists loads applied laterally to the beam's axis. Its mode of deflection is primarily by bending. The loads applied to the beam result in reaction forces at the beam's support points. The total effect of all the forces acting on the beam is to produce shear forces and bending moments within the beams, that in turn induce internal stresses, strains and deflections of the beam.

How to Calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio calculator uses Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2) to calculate the Stress in Compressive Steel, The Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. How much force material experience can be measured using stress units. Stress in Compressive Steel is denoted by f'_s symbol.

How to calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio using this online calculator? To use this online calculator for Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio, enter Bending Moment (Mb_R), Modular Ratio for Elastic Shortening (m_Elastic), Constant j (j), Width of Beam (W_b) & Depth of Beam (D_B) and hit the calculate button. Here is how the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio calculation can be explained with given input values -> 8.4E-10 = 53/(0.6*0.8*0.018*2.7^2).

FAQ

What is Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

The Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. How much force material experience can be measured using stress units and is represented as f'_s = Mb_R/(m_Elastic*j*W_b*D_B^2) or Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2). 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, Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material, Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d, Width of Beam is the horizontal measurement taken perpendicular to the length of beam & Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

How to calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

The Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. How much force material experience can be measured using stress units is calculated using Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2). To calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio, you need Bending Moment (Mb_R), Modular Ratio for Elastic Shortening (m_Elastic), Constant j (j), Width of Beam (W_b) & Depth of Beam (D_B). With our tool, you need to enter the respective value for Bending Moment, Modular Ratio for Elastic Shortening, Constant j, Width of Beam & Depth of Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stress in Compressive Steel?

In this formula, Stress in Compressive Steel uses Bending Moment, Modular Ratio for Elastic Shortening, Constant j, Width of Beam & Depth of Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)

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