Moment Resistance of Tensile Steel given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements)
MTS = (As)*(fTS)*(jd)
This formula uses 4 Variables
Variables Used
Moment Resistance of Tensile Steel - (Measured in Kilogram-Force Meter) - Moment Resistance of Tensile Steel is the resistance offered by the tension reinforcement against the loads acting on section.
Area of Steel required - (Measured in Square Millimeter) - Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.
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.
Distance between Reinforcements - (Measured in Millimeter) - Distance between Reinforcements is the distance between the centroid of tension reinforcement and compression reinforcement in a doubly reinforced section.
STEP 1: Convert Input(s) to Base Unit
Area of Steel required: 100 Square Millimeter --> 100 Square Millimeter No Conversion Required
Tensile Stress in Steel: 24 Kilogram-Force per Square Meter --> 235.359599999983 Pascal (Check conversion here)
Distance between Reinforcements: 50 Millimeter --> 50 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MTS = (As)*(fTS)*(jd) --> (100)*(235.359599999983)*(50)
Evaluating ... ...
MTS = 1176797.99999992
STEP 3: Convert Result to Output's Unit
11540446.1066984 Newton Meter -->11540.4461066984 Kilonewton Meter (Check conversion here)
FINAL ANSWER
11540.4461066984 11540.45 Kilonewton Meter <-- Moment Resistance of Tensile Steel
(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad
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9 Doubly Reinforced Rectangular Sections Calculators

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 Resistance of Tensile Steel given Area Formula

Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements)
MTS = (As)*(fTS)*(jd)

Why Is It Important to find the Moment Resistance of Tensile Reinforcement?

It is found that even if the area of tensile steel reinforcement is doubled, the moment of resistance of the beam increases only by about 22%. Steel reinforcement bars or rebars are used to improve the concrete's tensile strength, as concrete is very low in tension but strong in compression. But it do improve the capacity of section.

How to Calculate Moment Resistance of Tensile Steel given Area?

Moment Resistance of Tensile Steel given Area calculator uses Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements) to calculate the Moment Resistance of Tensile Steel, The Moment Resistance of Tensile Steel given Area formula is defined for finding the resistance provided by the tension reinforcement against the failure loads acting. Moment Resistance of Tensile Steel is denoted by MTS symbol.

How to calculate Moment Resistance of Tensile Steel given Area using this online calculator? To use this online calculator for Moment Resistance of Tensile Steel given Area, enter Area of Steel required (As), Tensile Stress in Steel (fTS) & Distance between Reinforcements (jd) and hit the calculate button. Here is how the Moment Resistance of Tensile Steel given Area calculation can be explained with given input values -> 1176.798 = (0.0001)*(235.359599999983)*(0.05).

FAQ

What is Moment Resistance of Tensile Steel given Area?
The Moment Resistance of Tensile Steel given Area formula is defined for finding the resistance provided by the tension reinforcement against the failure loads acting and is represented as MTS = (As)*(fTS)*(jd) or Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements). Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups, Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel & Distance between Reinforcements is the distance between the centroid of tension reinforcement and compression reinforcement in a doubly reinforced section.
How to calculate Moment Resistance of Tensile Steel given Area?
The Moment Resistance of Tensile Steel given Area formula is defined for finding the resistance provided by the tension reinforcement against the failure loads acting is calculated using Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements). To calculate Moment Resistance of Tensile Steel given Area, you need Area of Steel required (As), Tensile Stress in Steel (fTS) & Distance between Reinforcements (jd). With our tool, you need to enter the respective value for Area of Steel required, Tensile Stress in Steel & Distance between Reinforcements 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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