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

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Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement. Check FAQs

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

f'_s - Stress in Compressive Steel?Mb_R - Bending Moment?m_Elastic - Modular Ratio for Elastic Shortening?j - Constant j?W_b - Width of Beam?D_B - Depth of Beam?

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

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Here is how the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio equation looks like with Values.

Here is how the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio equation looks like with Units.

Here is how the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio equation looks like.

841.4622 = \frac{53}{0.6 \cdot 0.8 \cdot 18 \cdot {2.7}^{2}}

841.4622MPa = \frac{53N*m}{0.6 \cdot 0.8 \cdot 18mm \cdot {2.7m}^{2}}

841.4622 = \frac{53}{0.6 \cdot 0.8 \cdot 18 \cdot {2.7}^{2}}

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

Follow our step by step solution on how to calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f' s = \frac{53N*m}{0.6 \cdot 0.8 \cdot 18mm \cdot {2.7m}^{2}}

Next Step Convert Units

∴

f' s = \frac{53N*m}{0.6 \cdot 0.8 \cdot 0.018m \cdot {2.7m}^{2}}

Next Step Prepare to Evaluate

∴

f' s = \frac{53}{0.6 \cdot 0.8 \cdot 0.018 \cdot {2.7}^{2}}

Next Step Evaluate

∴

f' s = 841462175.48138Pa

Next Step Convert to Output's Unit

∴

f' s = 841.46217548138MPa

LAST Step Rounding Answer

∴

f' s = 841.4622MPa

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

Variables

Stress in Compressive Steel

Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.

Symbol: f'_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Compressive Steel

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: Mb_R

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

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.

Symbol: m_Elastic

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modular Ratio for Elastic Shortening

Constant j

Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d.

Symbol: j

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant j

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

Depth of Beam

Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

Symbol: D_B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Beam

Other Formulas to find Stress in Compressive Steel

Go Stress in Steel

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

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 Depth of Roof and Floor Slabs

D B = \frac{I n}{25}

Go Depth of Light Beams

D B = \frac{I n}{15}

How to Evaluate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio evaluator uses Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2) to evaluate the Stress in Compressive Steel, The Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. How much force material experience can be measured using stress units. Stress in Compressive Steel is denoted by f'_s symbol.

How to evaluate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio using this online evaluator? To use this online evaluator for Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio, enter Bending Moment (Mb_R), Modular Ratio for Elastic Shortening (m_Elastic), Constant j (j), Width of Beam (W_b) & Depth of Beam (D_B) and hit the calculate button.

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

What is the formula to find Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

The formula of Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is expressed as Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2). Here is an example- 8.4E-10 = 53/(0.6*0.8*0.018*2.7^2).

How to calculate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

With Bending Moment (Mb_R), Modular Ratio for Elastic Shortening (m_Elastic), Constant j (j), Width of Beam (W_b) & Depth of Beam (D_B) we can find Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio using the formula - Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2).

What are the other ways to Calculate Stress in Compressive Steel?

Here are the different ways to Calculate Stress in Compressive Steel-

Stress in Compressive Steel=Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)

Can the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio be negative?

No, the Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio, measured in Pressure cannot be negative.

Which unit is used to measure Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio can be measured.

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

​GoStress in Steel Formula

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

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

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

Other Formulas to find Stress in Compressive Steel

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio?

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

Variable Name

GoStress in Steel Formula