Moment Resisting Capacity of Compressive Steel given Stress Calculator

✖Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.ⓘ Stress in Compressive Steel [f'_s]			+10% -10%
✖Area of Compression Reinforcement is the amount of steel required in the compression zone.ⓘ Area of Compression Reinforcement [A_s']			+10% -10%
✖The Distance to Centroid of Tensile Steel is the distance from extreme compression fiber to centroid of tension reinforcement.ⓘ Distance to Centroid of Tensile Steel [d]			+10% -10%
✖The Distance to Centroid of Compressive steel is the distance from extreme compression surface to the centroid of compression reinforcement.ⓘ Distance to Centroid of Compressive Steel [D]			+10% -10%

✖Moment Resistance of Compressive Steel is the moment resisting capacity of the steel subjected to stress.ⓘ Moment Resisting Capacity of Compressive Steel given Stress [M'_s]

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Formula

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Moment Resisting Capacity of Compressive Steel given Stress

Formula

`"M'"_{"s"} = 2*"f'"_{"s"}*"A"_{"s'"}*("d"-"D")`

Example

`"0.01608kN*m"=2*"134.449MPa"*"20mm²"*("5mm"-"2.01mm")`

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Moment Resisting Capacity of Compressive Steel given Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel)
M'_s = 2*f'_s*A_s'*(d-D)
This formula uses 5 Variables

Variables Used

Moment Resistance of Compressive Steel - (Measured in Newton Meter) - Moment Resistance of Compressive Steel is the moment resisting capacity of the steel subjected to stress.
Stress in Compressive Steel - (Measured in Pascal) - Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.
Area of Compression Reinforcement - (Measured in Square Meter) - Area of Compression Reinforcement is the amount of steel required in the compression zone.
Distance to Centroid of Tensile Steel - (Measured in Meter) - The Distance to Centroid of Tensile Steel is the distance from extreme compression fiber to centroid of tension reinforcement.
Distance to Centroid of Compressive Steel - (Measured in Meter) - The Distance to Centroid of Compressive steel is the distance from extreme compression surface to the centroid of compression reinforcement.

STEP 1: Convert Input(s) to Base Unit

Stress in Compressive Steel: 134.449 Megapascal --> 134449000 Pascal (Check conversion here)
Area of Compression Reinforcement: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
Distance to Centroid of Tensile Steel: 5 Millimeter --> 0.005 Meter (Check conversion here)
Distance to Centroid of Compressive Steel: 2.01 Millimeter --> 0.00201 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M'_s = 2*f'_s*A_s'*(d-D) --> 2*134449000*2E-05*(0.005-0.00201)

Evaluating ... ...

M'_s = 16.0801004

STEP 3: Convert Result to Output's Unit

16.0801004 Newton Meter -->0.0160801004 Kilonewton Meter (Check conversion here)

FINAL ANSWER

0.0160801004 ≈ 0.01608 Kilonewton Meter <-- Moment Resistance of Compressive Steel

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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Stress in Extreme Compression Surface given Moment Resistance

Go Stress in Extreme Compression Surface = 2*Moment Resistance in Compression/((Constant j*Width of Beam*(Distance to Centroid of Tensile Steel^2))*(Constant k+2*Modular Ratio for Elastic Shortening*Value of ρ')*(1-(Distance to Centroid of Compressive Steel/(Constant k*Distance to Centroid of Tensile Steel))))

Moment Resistance in Compression

Go Moment Resistance in Compression = 0.5*(Stress in Extreme Compression Surface*Constant j*Width of Beam*(Distance to Centroid of Tensile Steel^2))*(Constant k+2*Modular Ratio for Elastic Shortening*Value of ρ'*(1-(Distance to Centroid of Compressive Steel/(Constant k*Distance to Centroid of Tensile Steel))))

Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio

Go Tensile to Compressive Stress Ratio = (Ratio of Depth)/2*(Tension Reinforcement Ratio-((Compression Reinforcement Ratio*(Distance from Compression Fiber to NA-Effective Cover))/(Centroidal Distance of Tension Reinforcement-Distance from Compression Fiber to NA)))

Moment Resisting Capacity of Compressive Steel given Stress

Go Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel)

Moment Resistance of Tensile Steel given Area

Go Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements)

Total Compressive force on Beam Cross Section

Go Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel

Total Compression on Concrete

Go Total Compression on Beam = Force on Compressive Steel+Total Compression on Concrete

Force Acting on Compressive Steel

Go Force on Compressive Steel = Force on Tension Steel-Total Compression on Concrete

Force Acting on Tensile Steel

Go Force on Tension Steel = Total Compression on Concrete+Force on Compressive Steel

Moment Resisting Capacity of Compressive Steel given Stress Formula

What is Moment Capacity or Moment-Resisting Capacity?

The moment capacity is maximum bending moment that can be resisted by an element before it fails in bending.

How to Calculate Moment Resisting Capacity of Compressive Steel given Stress?

Moment Resisting Capacity of Compressive Steel given Stress calculator uses Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel) to calculate the Moment Resistance of Compressive Steel, The Moment Resisting Capacity of Compressive Steel given Stress is defined as the maximum bending resistance of steel when stress applied and area subjected under it are known. Moment Resistance of Compressive Steel is denoted by M'_s symbol.

How to calculate Moment Resisting Capacity of Compressive Steel given Stress using this online calculator? To use this online calculator for Moment Resisting Capacity of Compressive Steel given Stress, enter Stress in Compressive Steel (f'_s), Area of Compression Reinforcement (A_s'), Distance to Centroid of Tensile Steel (d) & Distance to Centroid of Compressive Steel (D) and hit the calculate button. Here is how the Moment Resisting Capacity of Compressive Steel given Stress calculation can be explained with given input values -> 1.6E-5 = 2*134449000*2E-05*(0.005-0.00201).

FAQ

What is Moment Resisting Capacity of Compressive Steel given Stress?

The Moment Resisting Capacity of Compressive Steel given Stress is defined as the maximum bending resistance of steel when stress applied and area subjected under it are known and is represented as M'_s = 2*f'_s*A_s'*(d-D) or Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel). Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement, Area of Compression Reinforcement is the amount of steel required in the compression zone, The Distance to Centroid of Tensile Steel is the distance from extreme compression fiber to centroid of tension reinforcement & The Distance to Centroid of Compressive steel is the distance from extreme compression surface to the centroid of compression reinforcement.

How to calculate Moment Resisting Capacity of Compressive Steel given Stress?

The Moment Resisting Capacity of Compressive Steel given Stress is defined as the maximum bending resistance of steel when stress applied and area subjected under it are known is calculated using Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel). To calculate Moment Resisting Capacity of Compressive Steel given Stress, you need Stress in Compressive Steel (f'_s), Area of Compression Reinforcement (A_s'), Distance to Centroid of Tensile Steel (d) & Distance to Centroid of Compressive Steel (D). With our tool, you need to enter the respective value for Stress in Compressive Steel, Area of Compression Reinforcement, Distance to Centroid of Tensile Steel & Distance to Centroid of Compressive 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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