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Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio Formula

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Tensile to Compressive Stress Ratio is the ratio between stress in tensile steel to stress in extreme compression fiber. Check FAQs

fsc ratio = \frac{k}{2} \cdot (ρ T - (\frac{ρ' \cdot (K d - d')}{D centroid - K d}))

fsc_ratio - Tensile to Compressive Stress Ratio?k - Ratio of Depth?ρ_T - Tension Reinforcement Ratio?ρ^' - Compression Reinforcement Ratio?K_d - Distance from Compression Fiber to NA?d' - Effective Cover?D_centroid - Centroidal Distance of Tension Reinforcement?

Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio Example

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Here is how the Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio equation looks like with Values.

Here is how the Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio equation looks like with Units.

Here is how the Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio equation looks like.

3.9441 = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (100.2 - 50.01)}{51.01 - 100.2}))

3.9441 = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (100.2mm - 50.01mm)}{51.01mm - 100.2mm}))

3.9441 = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (100.2 - 50.01)}{51.01 - 100.2}))

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Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio Solution

Follow our step by step solution on how to calculate Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio?

FIRST Step Consider the formula

fsc ratio = \frac{k}{2} \cdot (ρ T - (\frac{ρ' \cdot (K d - d')}{D centroid - K d}))

Next Step Substitute values of Variables

∴

fsc ratio = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (100.2mm - 50.01mm)}{51.01mm - 100.2mm}))

Next Step Convert Units

∴

fsc ratio = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (0.1002m - 0.05m)}{0.051m - 0.1002m}))

Next Step Prepare to Evaluate

∴

fsc ratio = \frac{0.61}{2} \cdot (12.9 - (\frac{0.031 \cdot (0.1002 - 0.05)}{0.051 - 0.1002}))

Next Step Evaluate

∴

fsc ratio = 3.94414721386461

LAST Step Rounding Answer

∴

fsc ratio = 3.9441

Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio Formula Elements

Variables

Tensile to Compressive Stress Ratio

Tensile to Compressive Stress Ratio is the ratio between stress in tensile steel to stress in extreme compression fiber.

Symbol: fsc_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

Tension Reinforcement Ratio

The Tension Reinforcement Ratio is the ratio between the area of tensile reinforcement to the area of cross-section.

Symbol: ρ_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Compression Reinforcement Ratio

The Compression Reinforcement Ratio is the ratio of the area of compression steel to the area of cross-section.

Symbol: ρ^'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Distance from Compression Fiber to NA

Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.

Symbol: K_d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Effective Cover

Effective Cover is the distance from exposed surface of concrete to the centroid of main reinforcement.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Centroidal Distance of Tension Reinforcement

The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.

Symbol: D_centroid

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Credits

Creator Image

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Formula and 500+ more formulas!

Verifier Image

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Formula and 800+ more formulas!

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How to Evaluate Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio?

Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio evaluator uses 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))) to evaluate the Tensile to Compressive Stress Ratio, The Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio formula is defined as the ratio of stress in tensile steel to stress in extreme compressive surface. It is generally used in working stress method. Tensile to Compressive Stress Ratio is denoted by fsc_ratio symbol.

How to evaluate Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio using this online evaluator? To use this online evaluator for Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio, enter Ratio of Depth (k), Tension Reinforcement Ratio (ρ_T), Compression Reinforcement Ratio (ρ^'), Distance from Compression Fiber to NA (K_d), Effective Cover (d') & Centroidal Distance of Tension Reinforcement (D_centroid) and hit the calculate button.

FAQs on Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio

What is the formula to find Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio?

The formula of Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio is expressed as 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))). Here is an example- 3.879489 = (0.61)/2*(12.9-((0.031*(0.1002-0.05001))/(0.05101-0.1002))).

How to calculate Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio?

With Ratio of Depth (k), Tension Reinforcement Ratio (ρ_T), Compression Reinforcement Ratio (ρ^'), Distance from Compression Fiber to NA (K_d), Effective Cover (d') & Centroidal Distance of Tension Reinforcement (D_centroid) we can find Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio using the formula - 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))).

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