Bending Moment of Beam due to Stress in Steel Calculator

✖The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement.ⓘ Stress in Reinforcement [f_s]			+10% -10%
✖The ratio of cross-sectional area of tensile reinforcing to area of the beam (As/bd).ⓘ Ratio of Cross-Sectional Area [p]			+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 width of beam is the beam width measured from end to end.ⓘ Width of Beam [b]			+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 bending moment is the algebraic sum of the applied load to the given distance from the reference point.ⓘ Bending Moment of Beam due to Stress in Steel [M]

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Bending Moment of Beam due to Stress in Steel

Formula

`"M" = "f"_{"s"}*"p"*"j"*"b"*"d"^2`

Example

`"35.18893kN*m"="130MPa"*"0.0129"*"0.847"*"305mm"*("285mm")^2`

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Bending Moment of Beam due to Stress in Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2
M = f_s*p*j*b*d^2
This formula uses 6 Variables

Variables Used

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.
Stress in Reinforcement - (Measured in Pascal) - The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement.
Ratio of Cross-Sectional Area - The ratio of cross-sectional area of tensile reinforcing to area of the beam (As/bd).
Ratio of Distance between Centroid - The ratio of distance between centroid of compression and centroid of tension to depth d.
Width of Beam - (Measured in Meter) - The width of beam is the beam width measured from end to end.
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

Stress in Reinforcement: 130 Megapascal --> 130000000 Pascal (Check conversion here)
Ratio of Cross-Sectional Area: 0.0129 --> No Conversion Required
Ratio of Distance between Centroid: 0.847 --> No Conversion Required
Width of Beam: 305 Millimeter --> 0.305 Meter (Check conversion here)
Effective Depth of Beam: 285 Millimeter --> 0.285 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = f_s*p*j*b*d^2 --> 130000000*0.0129*0.847*0.305*0.285^2

Evaluating ... ...

M = 35188.927648875

STEP 3: Convert Result to Output's Unit

35188.927648875 Newton Meter -->35.188927648875 Kilonewton Meter (Check conversion here)

FINAL ANSWER

35.188927648875 ≈ 35.18893 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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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)

Bending Moment of Beam due to Stress in Steel Formula

Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2
M = f_s*p*j*b*d^2

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 Bending Moment of Beam due to Stress in Steel?

Bending Moment of Beam due to Stress in Steel calculator uses Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2 to calculate the Bending Moment, The Bending Moment of Beam due to Stress in Steel formula is defined as the bending moment caused in the rectangular beam due to the stresses caused in the steel. Bending Moment is denoted by M symbol.

How to calculate Bending Moment of Beam due to Stress in Steel using this online calculator? To use this online calculator for Bending Moment of Beam due to Stress in Steel, enter Stress in Reinforcement (f_s), Ratio of Cross-Sectional Area (p), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d) and hit the calculate button. Here is how the Bending Moment of Beam due to Stress in Steel calculation can be explained with given input values -> 0.035189 = 130000000*0.0129*0.847*0.305*0.285^2.

FAQ

What is Bending Moment of Beam due to Stress in Steel?

The Bending Moment of Beam due to Stress in Steel formula is defined as the bending moment caused in the rectangular beam due to the stresses caused in the steel and is represented as M = f_s*p*j*b*d^2 or Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2. The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement, The ratio of cross-sectional area of tensile reinforcing to area of the beam (As/bd), The ratio of distance between centroid of compression and centroid of tension to depth d, The width of beam is the beam width measured from end to end & The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

How to calculate Bending Moment of Beam due to Stress in Steel?

The Bending Moment of Beam due to Stress in Steel formula is defined as the bending moment caused in the rectangular beam due to the stresses caused in the steel is calculated using Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2. To calculate Bending Moment of Beam due to Stress in Steel, you need Stress in Reinforcement (f_s), Ratio of Cross-Sectional Area (p), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d). With our tool, you need to enter the respective value for Stress in Reinforcement, Ratio of Cross-Sectional Area, Ratio of Distance between Centroid, Width of Beam & 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 Bending Moment?

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

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

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