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Moment Resistance in Compression Calculator

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Check for Stress in Beams

✖Stress in Extreme Compression Surface is a measure of stress at extreme compression fiber.ⓘ Stress in Extreme Compression Surface [f_ec]			+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%
✖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%
✖Constant k is the ratio of the depth of compression area to depth d.ⓘ Constant k [K]			+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%
✖The Value of ρ' is the steel ratio of compression reinforcement.ⓘ Value of ρ' [ρ']			+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 in Compression is the moment by internal forces in a beam under compressive state.ⓘ Moment Resistance in Compression [M_R]

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Moment Resistance in Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
M_R = 0.5*(f_ec*j*W_b*(d^2))*(K+2*m_Elastic*ρ'*(1-(D/(K*d))))
This formula uses 9 Variables

Variables Used

Moment Resistance in Compression - (Measured in Newton Meter) - Moment Resistance in Compression is the moment by internal forces in a beam under compressive state.
Stress in Extreme Compression Surface - (Measured in Pascal) - Stress in Extreme Compression Surface is a measure of stress at extreme compression fiber.
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.
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.
Constant k - Constant k is the ratio of the depth of compression area to depth d.
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.
Value of ρ' - The Value of ρ' is the steel ratio of compression 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 Extreme Compression Surface: 10.01 Megapascal --> 10010000 Pascal (Check conversion here)
Constant j: 0.8 --> No Conversion Required
Width of Beam: 18 Millimeter --> 0.018 Meter (Check conversion here)
Distance to Centroid of Tensile Steel: 5 Millimeter --> 0.005 Meter (Check conversion here)
Constant k: 0.65 --> No Conversion Required
Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required
Value of ρ': 0.6 --> No Conversion Required
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_R = 0.5*(f_ec*j*W_b*(d^2))*(K+2*m_Elastic*ρ'*(1-(D/(K*d)))) --> 0.5*(10010000*0.8*0.018*(0.005^2))*(0.65+2*0.6*0.6*(1-(0.00201/(0.65*0.005))))

Evaluating ... ...

M_R = 1.66613832

STEP 3: Convert Result to Output's Unit

1.66613832 Newton Meter --> No Conversion Required

FINAL ANSWER

1.66613832 ≈ 1.666138 Newton Meter <-- Moment Resistance in Compression

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Doubly Reinforced Rectangular Sections Calculators

Total Compressive force on Beam Cross Section

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

Total Compression on Concrete

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

Force Acting on Compressive Steel

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

Force Acting on Tensile Steel

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

Moment Resistance in Compression Formula

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What is meant by Moment of Resistance?

The couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

How to Calculate Moment Resistance in Compression?

Moment Resistance in Compression calculator uses 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)))) to calculate the Moment Resistance in Compression, The Moment Resistance in Compression formula calculates the moment by internal forces in a beam under compressive state. Moment Resistance in Compression is denoted by M_R symbol.

How to calculate Moment Resistance in Compression using this online calculator? To use this online calculator for Moment Resistance in Compression, enter Stress in Extreme Compression Surface (f_ec), Constant j (j), Width of Beam (W_b), Distance to Centroid of Tensile Steel (d), Constant k (K), Modular Ratio for Elastic Shortening (m_Elastic), Value of ρ' (ρ') & Distance to Centroid of Compressive Steel (D) and hit the calculate button. Here is how the Moment Resistance in Compression calculation can be explained with given input values -> 1.666138 = 0.5*(10010000*0.8*0.018*(0.005^2))*(0.65+2*0.6*0.6*(1-(0.00201/(0.65*0.005)))).

FAQ

What is Moment Resistance in Compression?

The Moment Resistance in Compression formula calculates the moment by internal forces in a beam under compressive state and is represented as M_R = 0.5*(f_ec*j*W_b*(d^2))*(K+2*m_Elastic*ρ'*(1-(D/(K*d)))) or 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 Extreme Compression Surface is a measure of stress at extreme compression fiber, 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, The Distance to Centroid of Tensile Steel is the distance from extreme compression fiber to centroid of tension reinforcement, Constant k is the ratio of the depth of compression area to depth d, 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, The Value of ρ' is the steel ratio of compression 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 Resistance in Compression?

The Moment Resistance in Compression formula calculates the moment by internal forces in a beam under compressive state is calculated using 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)))). To calculate Moment Resistance in Compression, you need Stress in Extreme Compression Surface (f_ec), Constant j (j), Width of Beam (W_b), Distance to Centroid of Tensile Steel (d), Constant k (K), Modular Ratio for Elastic Shortening (m_Elastic), Value of ρ' (ρ') & Distance to Centroid of Compressive Steel (D). With our tool, you need to enter the respective value for Stress in Extreme Compression Surface, Constant j, Width of Beam, Distance to Centroid of Tensile Steel, Constant k, Modular Ratio for Elastic Shortening, Value of ρ' & 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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