Moment Resistance of Steel Calculator

✖Total Tension is the force that tries to elongate a body or an object.ⓘ Total Tension [T]			+10% -10%
✖Ratio of Distance between Centroids is the proportion of the distance separating two central points in a geometric or data set.ⓘ Ratio of Distance between Centroids [r]			+10% -10%
✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Effective Depth of Beam [d_eff]			+10% -10%
✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement [A]			+10% -10%
✖Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.ⓘ Tensile Stress in Steel [f_TS]			+10% -10%

✖Moment Resistance of Steel is the ability to resist bending forces or moments without yielding or deforming excessively.ⓘ Moment Resistance of Steel [M_s]

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Formula

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Moment Resistance of Steel

Formula

`"M"_{"s"} = ("T"*"r"*"d"_{"eff"})+("A"*"f"_{"TS"}*"r"*"d"_{"eff"})`

Example

`"99.12568kN*m"=("100.01N"*"10.1"*"4m")+("10m²"*"24kgf/m²"*"10.1"*"4m")`

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Moment Resistance of Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam)
M_s = (T*r*d_eff)+(A*f_TS*r*d_eff)
This formula uses 6 Variables

Variables Used

Moment Resistance of Steel - (Measured in Newton Meter) - Moment Resistance of Steel is the ability to resist bending forces or moments without yielding or deforming excessively.
Total Tension - (Measured in Newton) - Total Tension is the force that tries to elongate a body or an object.
Ratio of Distance between Centroids - Ratio of Distance between Centroids is the proportion of the distance separating two central points in a geometric or data set.
Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Tensile Stress in Steel - (Measured in Pascal) - Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.

STEP 1: Convert Input(s) to Base Unit

Total Tension: 100.01 Newton --> 100.01 Newton No Conversion Required
Ratio of Distance between Centroids: 10.1 --> No Conversion Required
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Tensile Stress in Steel: 24 Kilogram-Force per Square Meter --> 235.359599999983 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_s = (T*r*d_eff)+(A*f_TS*r*d_eff) --> (100.01*10.1*4)+(10*235.359599999983*10.1*4)

Evaluating ... ...

M_s = 99125.6823999931

STEP 3: Convert Result to Output's Unit

99125.6823999931 Newton Meter -->99.1256823999931 Kilonewton Meter (Check conversion here)

FINAL ANSWER

99.1256823999931 ≈ 99.12568 Kilonewton Meter <-- Moment Resistance of Steel

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 3 Singly Reinforced Flanged Sections Calculators

Moment Resistance of Steel

Go Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam)

Moment Resistance of Concrete given Flange Thickness

Go Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2))

Total Compressive Force given Area and Tensile Steel Stress

Go Total Compressive Force = Area of Tension Reinforcement*Tensile Stress in Steel

Moment Resistance of Steel Formula

What is Tension?

Tension is a state of stress in which a material is being pulled apart, for example a cable that is attached to a ceiling with a weight fixed to its lower end.

What is Compression in Structures?

Compression in structures are those structures on which compressive load are applied along the length of structure.

How to Calculate Moment Resistance of Steel?

Moment Resistance of Steel calculator uses Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam) to calculate the Moment Resistance of Steel, The Moment Resistance of steel formula is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress. Moment Resistance of Steel is denoted by M_s symbol.

How to calculate Moment Resistance of Steel using this online calculator? To use this online calculator for Moment Resistance of Steel, enter Total Tension (T), Ratio of Distance between Centroids (r), Effective Depth of Beam (d_eff), Area of Tension Reinforcement (A) & Tensile Stress in Steel (f_TS) and hit the calculate button. Here is how the Moment Resistance of Steel calculation can be explained with given input values -> 0.099125 = (100.01*10.1*4)+(10*235.359599999983*10.1*4).

FAQ

What is Moment Resistance of Steel?

The Moment Resistance of steel formula is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress and is represented as M_s = (T*r*d_eff)+(A*f_TS*r*d_eff) or Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam). Total Tension is the force that tries to elongate a body or an object, Ratio of Distance between Centroids is the proportion of the distance separating two central points in a geometric or data set, Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber, Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section & Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.

How to calculate Moment Resistance of Steel?

The Moment Resistance of steel formula is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress is calculated using Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam). To calculate Moment Resistance of Steel, you need Total Tension (T), Ratio of Distance between Centroids (r), Effective Depth of Beam (d_eff), Area of Tension Reinforcement (A) & Tensile Stress in Steel (f_TS). With our tool, you need to enter the respective value for Total Tension, Ratio of Distance between Centroids, Effective Depth of Beam, Area of Tension Reinforcement & Tensile Stress in Steel 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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