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Gross area design strength for steel Formula

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Design Strength is the reduced value of actual resistance offered by a material, which is obtained while considering factor of safety. Check FAQs

P n = A g \cdot \frac{σ y}{1.1}

P _n - Design Strength?A_g - Gross Area of Cross-Section?σ_y - Yield Strength?

Gross area design strength for steel Example

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Here is how the Gross area design strength for steel equation looks like with Values.

Here is how the Gross area design strength for steel equation looks like with Units.

Here is how the Gross area design strength for steel equation looks like.

76.3636 = 24 \cdot \frac{35}{1.1}

76.3636kN = 24cm² \cdot \frac{35N/mm²}{1.1}

76.3636 = 24 \cdot \frac{35}{1.1}

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Gross area design strength for steel Solution

Follow our step by step solution on how to calculate Gross area design strength for steel?

FIRST Step Consider the formula

P n = A g \cdot \frac{σ y}{1.1}

Next Step Substitute values of Variables

∴

P n = 24cm² \cdot \frac{35N/mm²}{1.1}

Next Step Convert Units

∴

P n = 0.0024m² \cdot \frac{3.5E+7Pa}{1.1}

Next Step Prepare to Evaluate

∴

P n = 0.0024 \cdot \frac{3.5E+7}{1.1}

Next Step Evaluate

∴

P n = 76363.6363636363N

Next Step Convert to Output's Unit

∴

P n = 76.3636363636363kN

LAST Step Rounding Answer

∴

P n = 76.3636kN

Gross area design strength for steel Formula Elements

Variables

Design Strength

Design Strength is the reduced value of actual resistance offered by a material, which is obtained while considering factor of safety.

Symbol: P _n

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Design Strength

Gross Area of Cross-Section

The Gross Area of Cross-Section is defined as the total area of a section perpendicular to the direction of the load.

Symbol: A_g

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Cross-Section

Yield Strength

Yield strength can be defined as follows, a straight line is constructed parallel to elastic portion of stress–strain curve at strain offset of 0.002.

Symbol: σ_y

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Yield Strength

Other formulas in Measurement of Ductility of Metal category

Go Load given Brinell Hardness Number

W load = \frac{BHN \cdot π \cdot D \cdot (D - \sqrt{D^{2} - d^{2}})}{2}

Go Percentage Elongation of Mild Steel Test Bar

P % = (\frac{L 0 - L}{L}) \cdot 100

Go Total Extension of Mild Steel Test Bar

x = δL + z \cdot l 0

Go Original Length of Mild Steel test bar given Total Extension

l 0 = \frac{x - δL}{z}

How to Evaluate Gross area design strength for steel?

Gross area design strength for steel evaluator uses Design Strength = Gross Area of Cross-Section*Yield Strength/1.1 to evaluate the Design Strength, Gross area design strength for steel is the reduced value of actual resistance offered by a material, which is obtained while considering factor of safety. Design Strength is denoted by P _n symbol.

How to evaluate Gross area design strength for steel using this online evaluator? To use this online evaluator for Gross area design strength for steel, enter Gross Area of Cross-Section (A_g) & Yield Strength (σ_y) and hit the calculate button.

FAQs on Gross area design strength for steel

What is the formula to find Gross area design strength for steel?

The formula of Gross area design strength for steel is expressed as Design Strength = Gross Area of Cross-Section*Yield Strength/1.1. Here is an example- 0.076364 = 0.0024*35000000/1.1.

How to calculate Gross area design strength for steel?

With Gross Area of Cross-Section (A_g) & Yield Strength (σ_y) we can find Gross area design strength for steel using the formula - Design Strength = Gross Area of Cross-Section*Yield Strength/1.1.

Can the Gross area design strength for steel be negative?

Yes, the Gross area design strength for steel, measured in Force can be negative.

Which unit is used to measure Gross area design strength for steel?

Gross area design strength for steel is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Gross area design strength for steel can be measured.

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