Gross area design strength for steel Calculator

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Measurement of Ductility of Metal

Shear Stress In Beam

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✖The Gross Area of Cross-Section is defined as the total area of a section perpendicular to the direction of the load.ⓘ Gross Area of Cross-Section [A_g]			+10% -10%
✖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.ⓘ Yield Strength [σ_y]			+10% -10%

✖Design Strength is the reduced value of actual resistance offered by a material, which is obtained while considering factor of safety.ⓘ Gross area design strength for steel [P _n]

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Formula

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Gross area design strength for steel

Formula

`"P "_{"n"} = "A"_{"g"}*"σ"_{"y"}/1.1`

Example

`"76363.64N"="24cm²"*"35N/mm²"/1.1`

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Gross area design strength for steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Design Strength = Gross Area of Cross-Section*Yield Strength/1.1
P _n = A_g*σ_y/1.1
This formula uses 3 Variables

Variables Used

Design Strength - (Measured in Newton) - Design Strength is the reduced value of actual resistance offered by a material, which is obtained while considering factor of safety.
Gross Area of Cross-Section - (Measured in Square Meter) - The Gross Area of Cross-Section is defined as the total area of a section perpendicular to the direction of the load.
Yield Strength - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Gross Area of Cross-Section: 24 Square Centimeter --> 0.0024 Square Meter (Check conversion here)
Yield Strength: 35 Newton per Square Millimeter --> 35000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P _n = A_g*σ_y/1.1 --> 0.0024*35000000/1.1

Evaluating ... ...

P _n = 76363.6363636363

STEP 3: Convert Result to Output's Unit

76363.6363636363 Newton --> No Conversion Required

FINAL ANSWER

76363.6363636363 ≈ 76363.64 Newton <-- Design Strength

(Calculation completed in 00.004 seconds)

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Created by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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Verified by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

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< 8 Measurement of Ductility of Metal Calculators

Load given Brinell Hardness Number

Go Load = (Brinell Hardness Number*pi*Steel Ball Diameter*(Steel Ball Diameter-sqrt(Steel Ball Diameter^2-Depression Diameter^2)))/2

Total Extension given Area of Mild Steel bar

Go Total Extension = Coefficient of Elongation*sqrt(Cross-sectional Area of Specimen)+(Coefficient of Extension*Initial Length)

Percentage Elongation of Mild Steel Test Bar

Go Percentage Elongation = ((Initial Length-Length of Test Bar at Fracture)/Length of Test Bar at Fracture)*100

Local extension of mild steel bar

Go Local Extension = Coefficient of Elongation*sqrt(Cross-sectional Area of Specimen)

Original Length of Mild Steel test bar given Total Extension

Go Initial Length = (Total Extension-Total Elongation)/Coefficient of Extension

Total Extension of Mild Steel Test Bar

Go Total Extension = Total Elongation+Coefficient of Extension*Initial Length

Area of Mild Steel bar given Local Extension

Go Cross-sectional Area of Specimen = (Local Extension/Coefficient of Elongation)^2

Gross area design strength for steel

Go Design Strength = Gross Area of Cross-Section*Yield Strength/1.1

Gross area design strength for steel Formula

Design Strength = Gross Area of Cross-Section*Yield Strength/1.1
P _n = A_g*σ_y/1.1

What is gross area design strength?

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

How to Calculate Gross area design strength for steel?

Gross area design strength for steel calculator uses Design Strength = Gross Area of Cross-Section*Yield Strength/1.1 to calculate 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 calculate Gross area design strength for steel using this online calculator? To use this online calculator for Gross area design strength for steel, enter Gross Area of Cross-Section (A_g) & Yield Strength (σ_y) and hit the calculate button. Here is how the Gross area design strength for steel calculation can be explained with given input values -> 76363.64 = 0.0024*35000000/1.1.

FAQ

What is Gross area design strength for steel?

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 and is represented as P _n = A_g*σ_y/1.1 or Design Strength = Gross Area of Cross-Section*Yield Strength/1.1. The Gross Area of Cross-Section is defined as the total area of a section perpendicular to the direction of the load & 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.

How to calculate Gross area design strength for steel?

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 is calculated using Design Strength = Gross Area of Cross-Section*Yield Strength/1.1. To calculate Gross area design strength for steel, you need Gross Area of Cross-Section (A_g) & Yield Strength (σ_y). With our tool, you need to enter the respective value for Gross Area of Cross-Section & Yield Strength 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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