Stress in Steel by Working-Stress Design Calculator

✖The bending moment is the algebraic sum of the applied load to the given distance from the reference point.ⓘ Bending Moment [M]			+10% -10%
✖The cross-sectional area of tensile reinforcing is the total area covered by tensile reinforcement in the beam.ⓘ Cross-Sectional Area of Tensile Reinforcing [A_s]			+10% -10%
✖The ratio of distance between centroid of compression and centroid of tension to depth d.ⓘ Ratio of Distance between Centroid [j]			+10% -10%
✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Effective Depth of Beam [d]			+10% -10%

✖The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement.ⓘ Stress in Steel by Working-Stress Design [f_s]

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Formula

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Stress in Steel by Working-Stress Design

Formula

`"f"_{"s"} = "M"/("A"_{"s"}*"j"*"d")`

Example

`"129.3404MPa"="35kN*m"/("1121mm²"*"0.847"*"285mm")`

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Stress in Steel by Working-Stress Design Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam)
f_s = M/(A_s*j*d)
This formula uses 5 Variables

Variables Used

Stress in Reinforcement - (Measured in Pascal) - The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement.
Bending Moment - (Measured in Newton Meter) - The bending moment is the algebraic sum of the applied load to the given distance from the reference point.
Cross-Sectional Area of Tensile Reinforcing - (Measured in Square Meter) - The cross-sectional area of tensile reinforcing is the total area covered by tensile reinforcement in the beam.
Ratio of Distance between Centroid - The ratio of distance between centroid of compression and centroid of tension to depth d.
Effective Depth of Beam - (Measured in Meter) - The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 35 Kilonewton Meter --> 35000 Newton Meter (Check conversion here)
Cross-Sectional Area of Tensile Reinforcing: 1121 Square Millimeter --> 0.001121 Square Meter (Check conversion here)
Ratio of Distance between Centroid: 0.847 --> No Conversion Required
Effective Depth of Beam: 285 Millimeter --> 0.285 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = M/(A_s*j*d) --> 35000/(0.001121*0.847*0.285)

Evaluating ... ...

f_s = 129340388.59285

STEP 3: Convert Result to Output's Unit

129340388.59285 Pascal -->129.34038859285 Megapascal (Check conversion here)

FINAL ANSWER

129.34038859285 ≈ 129.3404 Megapascal <-- Stress in Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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Coorg Institute of Technology (CIT), Coorg

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< 5 Rectangular Beams with Tensile Reinforcing Only Calculators

Bending Moment of Beam due to Stress in Concrete

Go Bending Moment = (1/2)*Compressive Stress in Extreme Fiber of Concrete*Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2

Stress in Concrete using Working-Stress Design

Go Compressive Stress in Extreme Fiber of Concrete = (2*Bending Moment)/(Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2)

Stress in Steel using Working-Stress Design

Go Stress in Reinforcement = Bending Moment/(Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2)

Bending Moment of Beam due to Stress in Steel

Go Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2

Stress in Steel by Working-Stress Design

Go Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam)

Stress in Steel by Working-Stress Design Formula

Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam)
f_s = M/(A_s*j*d)

Which are the 3 types of Design Methods?

A number of different design methods have been used for reinforced concrete construction. The three most common are working-stress design, ultimate strength design, and strength design method.
Working-Stress Design: This method assumes that concrete and steel behave as linear-elastic materials and that their stresses are directly proportional to the strains.
Ultimate Strength Design: utilizes reserves of strength resulting from a more efficient distribution of stresses allowed by plastic strains in the concrete and reinforcing steel, and at times it indicates the working stress method to be very conservative.
Strength Design Method: a design method that requires service loads to be multiplied by load factors and computed nominal strengths to be multiplied by strength reduction factors.

What are 3 types of Beam?

Concrete beams may be considered to be of three principal types
(1) rectangular beams with tensile reinforcing
(2) T-beams with tensile reinforcing
(3) beams with tensile and compressive reinforcing

How to Calculate Stress in Steel by Working-Stress Design?

Stress in Steel by Working-Stress Design calculator uses Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam) to calculate the Stress in Reinforcement, The Stress in Steel by Working-Stress Design formula is defined as the stresses developed in the concrete beam with tensile reinforcing only due to the bending moment and the area of tensile reinforcing is taken into consideration. Stress in Reinforcement is denoted by f_s symbol.

How to calculate Stress in Steel by Working-Stress Design using this online calculator? To use this online calculator for Stress in Steel by Working-Stress Design, enter Bending Moment (M), Cross-Sectional Area of Tensile Reinforcing (A_s), Ratio of Distance between Centroid (j) & Effective Depth of Beam (d) and hit the calculate button. Here is how the Stress in Steel by Working-Stress Design calculation can be explained with given input values -> 0.000129 = 35000/(0.001121*0.847*0.285).

FAQ

What is Stress in Steel by Working-Stress Design?

The Stress in Steel by Working-Stress Design formula is defined as the stresses developed in the concrete beam with tensile reinforcing only due to the bending moment and the area of tensile reinforcing is taken into consideration and is represented as f_s = M/(A_s*j*d) or Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam). The bending moment is the algebraic sum of the applied load to the given distance from the reference point, The cross-sectional area of tensile reinforcing is the total area covered by tensile reinforcement in the beam, The ratio of distance between centroid of compression and centroid of tension to depth d & The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

How to calculate Stress in Steel by Working-Stress Design?

The Stress in Steel by Working-Stress Design formula is defined as the stresses developed in the concrete beam with tensile reinforcing only due to the bending moment and the area of tensile reinforcing is taken into consideration is calculated using Stress in Reinforcement = Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam). To calculate Stress in Steel by Working-Stress Design, you need Bending Moment (M), Cross-Sectional Area of Tensile Reinforcing (A_s), Ratio of Distance between Centroid (j) & Effective Depth of Beam (d). With our tool, you need to enter the respective value for Bending Moment, Cross-Sectional Area of Tensile Reinforcing, Ratio of Distance between Centroid & Effective 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 Reinforcement?

In this formula, Stress in Reinforcement uses Bending Moment, Cross-Sectional Area of Tensile Reinforcing, Ratio of Distance between Centroid & Effective Depth of Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stress in Reinforcement = Bending Moment/(Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2)

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