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Moment Resistance of Steel given Steel Ratio Formula

GoMoment Resistance of Steel given Stress and Area Formula

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Moment Resistance of Steel is the ability to resist bending forces or moments without yielding or deforming excessively. Check FAQs

M s = f TS \cdot ρ steel ratio \cdot r \cdot W b \cdot {(d eff)}^{2}

M_s - Moment Resistance of Steel?f_TS - Tensile Stress in Steel?ρ_{steel ratio} - Steel Ratio?r - Ratio of Distance between Centroids?W_b - Width of Beam?d_eff - Effective Depth of Beam?

Moment Resistance of Steel given Steel Ratio Example

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Here is how the Moment Resistance of Steel given Steel Ratio equation looks like with Values.

Here is how the Moment Resistance of Steel given Steel Ratio equation looks like with Units.

Here is how the Moment Resistance of Steel given Steel Ratio equation looks like.

25.9469 = 24 \cdot 37.9 \cdot 10.1 \cdot 18 \cdot {(4)}^{2}

25.9469kN*m = 24kgf/m² \cdot 37.9 \cdot 10.1 \cdot 18mm \cdot {(4m)}^{2}

25.9469 = 24 \cdot 37.9 \cdot 10.1 \cdot 18 \cdot {(4)}^{2}

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Moment Resistance of Steel given Steel Ratio Solution

Follow our step by step solution on how to calculate Moment Resistance of Steel given Steel Ratio?

FIRST Step Consider the formula

M s = f TS \cdot ρ steel ratio \cdot r \cdot W b \cdot {(d eff)}^{2}

Next Step Substitute values of Variables

∴

M s = 24kgf/m² \cdot 37.9 \cdot 10.1 \cdot 18mm \cdot {(4m)}^{2}

Next Step Convert Units

∴

M s = 235.3596Pa \cdot 37.9 \cdot 10.1 \cdot 0.018m \cdot {(4m)}^{2}

Next Step Prepare to Evaluate

∴

M s = 235.3596 \cdot 37.9 \cdot 10.1 \cdot 0.018 \cdot {(4)}^{2}

Next Step Evaluate

∴

M s = 25946.8707697901N*m

Next Step Convert to Output's Unit

∴

M s = 25.9468707697901kN*m

LAST Step Rounding Answer

∴

M s = 25.9469kN*m

Moment Resistance of Steel given Steel Ratio Formula Elements

Variables

Moment Resistance of Steel

Moment Resistance of Steel is the ability to resist bending forces or moments without yielding or deforming excessively.

Symbol: M_s

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment Resistance of Steel

Tensile Stress in Steel

Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.

Symbol: f_TS

Measurement: PressureUnit: kgf/m²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in Steel

Steel Ratio

Steel Ratio is defined as the ratio of steel to the beam area at which the yielding of steel happens simultaneously with the crushing of concrete.

Symbol: ρ_{steel ratio}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Steel Ratio

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.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Distance between Centroids

Width of Beam

Width of Beam is the horizontal measurement taken perpendicular to the length of beam.

Symbol: W_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Other Formulas to find Moment Resistance of Steel

Go Moment Resistance of Steel given Stress and Area

M s = (f TS \cdot A s \cdot r \cdot d eff)

Other formulas in Singly Reinforced Rectangular Sections category

Go Stress in Concrete

f concrete = 2 \cdot \frac{Mb R}{K \cdot j \cdot W b \cdot {D B}^{2}}

Go Bending Moment given Stress in Concrete

Mb R = \frac{f concrete \cdot K \cdot W b \cdot {D B}^{2}}{2}

Go Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio

f' s = \frac{Mb R}{m Elastic \cdot j \cdot W b \cdot {D B}^{2}}

Go Stress in Steel

f' s = \frac{M t}{A \cdot j \cdot D B}

How to Evaluate Moment Resistance of Steel given Steel Ratio?

Moment Resistance of Steel given Steel Ratio evaluator uses Moment Resistance of Steel = Tensile Stress in Steel*Steel Ratio*Ratio of Distance between Centroids*Width of Beam*(Effective Depth of Beam)^2 to evaluate the Moment Resistance of Steel, The Moment Resistance of steel given steel ratio is defined by the parameters of Tensile stress in steel, steel ratio, Distance between the Centroids of Compression and Tension and the geometry of the section. Moment Resistance of Steel is denoted by M_s symbol.

How to evaluate Moment Resistance of Steel given Steel Ratio using this online evaluator? To use this online evaluator for Moment Resistance of Steel given Steel Ratio, enter Tensile Stress in Steel (f_TS), Steel Ratio (ρ_{steel ratio}), Ratio of Distance between Centroids (r), Width of Beam (W_b) & Effective Depth of Beam (d_eff) and hit the calculate button.

FAQs on Moment Resistance of Steel given Steel Ratio

What is the formula to find Moment Resistance of Steel given Steel Ratio?

The formula of Moment Resistance of Steel given Steel Ratio is expressed as Moment Resistance of Steel = Tensile Stress in Steel*Steel Ratio*Ratio of Distance between Centroids*Width of Beam*(Effective Depth of Beam)^2. Here is an example- 0.02569 = 235.359599999983*37.9*10.1*0.018*(4)^2.

How to calculate Moment Resistance of Steel given Steel Ratio?

With Tensile Stress in Steel (f_TS), Steel Ratio (ρ_{steel ratio}), Ratio of Distance between Centroids (r), Width of Beam (W_b) & Effective Depth of Beam (d_eff) we can find Moment Resistance of Steel given Steel Ratio using the formula - Moment Resistance of Steel = Tensile Stress in Steel*Steel Ratio*Ratio of Distance between Centroids*Width of Beam*(Effective Depth of Beam)^2.

What are the other ways to Calculate Moment Resistance of Steel?

Here are the different ways to Calculate Moment Resistance of Steel-

Moment Resistance of Steel=(Tensile Stress in Steel*Area of Steel required*Ratio of Distance between Centroids*Effective Depth of Beam)

Can the Moment Resistance of Steel given Steel Ratio be negative?

No, the Moment Resistance of Steel given Steel Ratio, measured in Torque cannot be negative.

Which unit is used to measure Moment Resistance of Steel given Steel Ratio?

Moment Resistance of Steel given Steel Ratio is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Moment Resistance of Steel given Steel Ratio can be measured.

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Moment Resistance of Steel given Steel Ratio Formula

​GoMoment Resistance of Steel given Stress and Area Formula

Moment Resistance of Steel given Steel Ratio Example

Moment Resistance of Steel given Steel Ratio Solution

Moment Resistance of Steel given Steel Ratio Formula Elements

Other Formulas to find Moment Resistance of Steel

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Moment Resistance of Steel given Steel Ratio?

FAQs on Moment Resistance of Steel given Steel Ratio

Variable Name

GoMoment Resistance of Steel given Stress and Area Formula