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Stress in Steel with Tension Reinforcement only Formula

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

f TS = \frac{m \cdot f comp stress \cdot (1 - k)}{k}

f_TS - Tensile Stress in Steel?m - Modular Ratio?f_{comp stress} - Compressive Stress at Extreme Concrete Surface?k - Ratio of Depth?

Stress in Steel with Tension Reinforcement only Example

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Here is how the Stress in Steel with Tension Reinforcement only equation looks like with Values.

Here is how the Stress in Steel with Tension Reinforcement only equation looks like with Units.

Here is how the Stress in Steel with Tension Reinforcement only equation looks like.

255.7377 = \frac{8 \cdot 50 \cdot (1 - 0.61)}{0.61}

255.7377kgf/m² = \frac{8 \cdot 50kgf/m² \cdot (1 - 0.61)}{0.61}

255.7377 = \frac{8 \cdot 50 \cdot (1 - 0.61)}{0.61}

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Stress in Steel with Tension Reinforcement only Solution

Follow our step by step solution on how to calculate Stress in Steel with Tension Reinforcement only?

FIRST Step Consider the formula

f TS = \frac{m \cdot f comp stress \cdot (1 - k)}{k}

Next Step Substitute values of Variables

∴

f TS = \frac{8 \cdot 50kgf/m² \cdot (1 - 0.61)}{0.61}

Next Step Prepare to Evaluate

∴

f TS = \frac{8 \cdot 50 \cdot (1 - 0.61)}{0.61}

Next Step Evaluate

∴

f TS = 2507.93016393425Pa

Next Step Convert to Output's Unit

∴

f TS = 255.737704918033kgf/m²

LAST Step Rounding Answer

∴

f TS = 255.7377kgf/m²

Stress in Steel with Tension Reinforcement only Formula Elements

Variables

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

Modular Ratio

Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modular Ratio

Compressive Stress at Extreme Concrete Surface

Compressive Stress at Extreme Concrete Surface is a force that causes a material to deform to occupy a smaller volume.

Symbol: f_{comp stress}

Measurement: PressureUnit: kgf/m²

Note: Value should be greater than 0.

Formulas to find Compressive Stress at Extreme Concrete Surface

Ratio of Depth

Ratio of Depth is a quantitative measure comparing the vertical extent of an object or substance to its width.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Depth

Other formulas in Singly Reinforced Rectangular Sections category

Go Modular Ratio

m = \frac{E s}{E c}

Go Distance from Extreme Compression to Centroid given Steel Ratio

d' = \frac{A}{b \cdot ρ steel ratio}

Go Area of Tension Reinforcement given Steel Ratio

A = (ρ steel ratio \cdot b \cdot d')

Go Beam Width given Steel Ratio

b = \frac{A}{d' \cdot ρ steel ratio}

How to Evaluate Stress in Steel with Tension Reinforcement only?

Stress in Steel with Tension Reinforcement only evaluator uses Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth) to evaluate the Tensile Stress in Steel, The Stress in Steel with Tension Reinforcement only is defined from the assumption that stress varies across a beam section with the distance from the neutral axis. Tensile Stress in Steel is denoted by f_TS symbol.

How to evaluate Stress in Steel with Tension Reinforcement only using this online evaluator? To use this online evaluator for Stress in Steel with Tension Reinforcement only, enter Modular Ratio (m), Compressive Stress at Extreme Concrete Surface (f_{comp stress}) & Ratio of Depth (k) and hit the calculate button.

FAQs on Stress in Steel with Tension Reinforcement only

What is the formula to find Stress in Steel with Tension Reinforcement only?

The formula of Stress in Steel with Tension Reinforcement only is expressed as Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth). Here is an example- 27.19243 = (8*490.332499999966*(1-0.61))/(0.61).

How to calculate Stress in Steel with Tension Reinforcement only?

With Modular Ratio (m), Compressive Stress at Extreme Concrete Surface (f_{comp stress}) & Ratio of Depth (k) we can find Stress in Steel with Tension Reinforcement only using the formula - Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth).

Can the Stress in Steel with Tension Reinforcement only be negative?

No, the Stress in Steel with Tension Reinforcement only, measured in Pressure cannot be negative.

Which unit is used to measure Stress in Steel with Tension Reinforcement only?

Stress in Steel with Tension Reinforcement only is usually measured using the Kilogram-Force per Square Meter[kgf/m²] for Pressure. Pascal[kgf/m²], Kilopascal[kgf/m²], Bar[kgf/m²] are the few other units in which Stress in Steel with Tension Reinforcement only can be measured.

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Stress in Steel with Tension Reinforcement only Formula

Stress in Steel with Tension Reinforcement only Example

Stress in Steel with Tension Reinforcement only Solution

Stress in Steel with Tension Reinforcement only Formula Elements

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Stress in Steel with Tension Reinforcement only?

FAQs on Stress in Steel with Tension Reinforcement only

Variable Name