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Stress in Steel with Tension Reinforcement only Calculator

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✖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.ⓘ Modular Ratio [m]			+10% -10%
✖Compressive Stress at Extreme Concrete Surface is a force that causes a material to deform to occupy a smaller volume.ⓘ Compressive Stress at Extreme Concrete Surface [f_{comp stress}]			+10% -10%
✖Ratio of Depth is a quantitative measure comparing the vertical extent of an object or substance to its width.ⓘ Ratio of Depth [k]			+10% -10%

✖Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.ⓘ Stress in Steel with Tension Reinforcement only [f_TS]

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Stress in Steel with Tension Reinforcement only Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)
f_TS = (m*f_{comp stress}*(1-k))/(k)
This formula uses 4 Variables

Variables Used

Tensile Stress in Steel - (Measured in Kilogram-Force per Square Meter) - Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the 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.
Compressive Stress at Extreme Concrete Surface - (Measured in Kilogram-Force per Square Meter) - Compressive Stress at Extreme Concrete Surface is a force that causes a material to deform to occupy a smaller volume.
Ratio of Depth - Ratio of Depth is a quantitative measure comparing the vertical extent of an object or substance to its width.

STEP 1: Convert Input(s) to Base Unit

Modular Ratio: 8 --> No Conversion Required
Compressive Stress at Extreme Concrete Surface: 50 Kilogram-Force per Square Meter --> 50 Kilogram-Force per Square Meter No Conversion Required
Ratio of Depth: 0.61 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_TS = (m*f_{comp stress}*(1-k))/(k) --> (8*50*(1-0.61))/(0.61)

Evaluating ... ...

f_TS = 255.737704918033

STEP 3: Convert Result to Output's Unit

2507.93016393425 Pascal -->255.737704918033 Kilogram-Force per Square Meter (Check conversion here)

FINAL ANSWER

255.737704918033 ≈ 255.7377 Kilogram-Force per Square Meter <-- Tensile Stress in Steel

(Calculation completed in 00.014 seconds)

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< Singly Reinforced Rectangular Sections Calculators

Stress in Steel with Tension Reinforcement only

LaTeX Go Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)

Distance from Extreme Compression to Centroid given Steel Ratio

LaTeX Go Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)

Area of Tension Reinforcement given Steel Ratio

LaTeX Go Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment)

Modular Ratio

LaTeX Go Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)

Stress in Steel with Tension Reinforcement only Formula

LaTeX Go

Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)
f_TS = (m*f_{comp stress}*(1-k))/(k)

What is Neutral Axis?

The Neutral Axis is an axis in the cross section of a beam (a member resisting bending) or shaft along which there are no longitudinal stresses or strains.

What is tension reinforcement?

Reinforcement are provided to resist tensile stresses due to bending and shear in beams for singly reinforced sections. In practice, for singly reinforced beams, two additional bars are provided in compression face of the beam so that stirrups can be tied with bars.

How to Calculate Stress in Steel with Tension Reinforcement only?

Stress in Steel with Tension Reinforcement only calculator uses Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth) to calculate 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 calculate Stress in Steel with Tension Reinforcement only using this online calculator? To use this online calculator 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. Here is how the Stress in Steel with Tension Reinforcement only calculation can be explained with given input values -> 27.19243 = (8*490.332499999966*(1-0.61))/(0.61).

FAQ

What is Stress in Steel with Tension Reinforcement only?

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 and is represented as f_TS = (m*f_{comp stress}*(1-k))/(k) or Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth). 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, Compressive Stress at Extreme Concrete Surface is a force that causes a material to deform to occupy a smaller volume & Ratio of Depth is a quantitative measure comparing the vertical extent of an object or substance to its width.

How to calculate Stress in Steel with Tension Reinforcement only?

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 is calculated using Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth). To calculate Stress in Steel with Tension Reinforcement only, you need Modular Ratio (m), Compressive Stress at Extreme Concrete Surface (f_{comp stress}) & Ratio of Depth (k). With our tool, you need to enter the respective value for Modular Ratio, Compressive Stress at Extreme Concrete Surface & Ratio of Depth 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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