Allowable Design Strength Calculator

✖Nominal Strength is defined as the capacity of the member or structure to resist the effect of loads.ⓘ Nominal Strength [R_n]			+10% -10%
✖The Safety Factor for Design Strength expresses how much stronger a system is than it needs to be for an intended load.ⓘ Safety Factor for Design Strength [f_s]			+10% -10%

✖Allowable Design Strength is the maximum strength for designing a member.ⓘ Allowable Design Strength [R_a]

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Formula

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Allowable Design Strength

Formula

`"R"_{"a"} = "R"_{"n"}/"f"_{"s"}`

Example

`"833.3333MPa"="1500MPa"/"1.8"`

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Allowable Design Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength
R_a = R_n/f_s
This formula uses 3 Variables

Variables Used

Allowable Design Strength - (Measured in Pascal) - Allowable Design Strength is the maximum strength for designing a member.
Nominal Strength - (Measured in Pascal) - Nominal Strength is defined as the capacity of the member or structure to resist the effect of loads.
Safety Factor for Design Strength - The Safety Factor for Design Strength expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Nominal Strength: 1500 Megapascal --> 1500000000 Pascal (Check conversion here)
Safety Factor for Design Strength: 1.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = R_n/f_s --> 1500000000/1.8

Evaluating ... ...

R_a = 833333333.333333

STEP 3: Convert Result to Output's Unit

833333333.333333 Pascal -->833.333333333333 Megapascal (Check conversion here)

FINAL ANSWER

833.333333333333 ≈ 833.3333 Megapascal <-- Allowable Design Strength

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 15 Cold Formed or Light Weighted Steel Structures Calculators

Plate Slenderness Factor

Go Plate Slenderness Factor = (1.052/sqrt(Local Buckling Coefficient))*Flat Width Ratio*sqrt(Maximum Compressive Edge Stress/Modulus of Elasticity for Steel Elements)

Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress

Go Flat Width Ratio = sqrt((Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Elastic Local Buckling Stress*(1-Poission Ratio for Plates^2)))

Flat Width Ratio given Plate Slenderness Factor

Go Flat Width Ratio = Plate Slenderness Factor*sqrt((Local Buckling Coefficient*Modulus of Elasticity for Steel Elements)/Maximum Compressive Edge Stress)*(1/1.052)

Elastic Local Buckling Stress

Go Elastic Local Buckling Stress = (Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Flat Width Ratio^2*(1-Poission Ratio for Plates^2))

Compressive Stress when Flat Width Ratio is between 10 and 25

Go Maximum Compressive Stress of Concrete = ((5*Design Stress)/3)-8640-((1/15)*(Design Stress-12950)*Flat Width Ratio)

Flat Width Ratio of Stiffened Element using Moment of Inertia

Go Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)

Minimum Allowable Moment of Inertia

Go Minimum Area Moment of Inertia = 1.83*(Thickness of Steel Compression Element^4)*sqrt((Flat Width Ratio^2)-144)

Flat Width Ratio given Depth of Stiffener Lip

Go Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)

Depth of Stiffener Lip

Go Depth of Stiffener Lip = 2.8*Thickness of Steel Compression Element*((Flat Width Ratio)^2-144)^(1/6)

Reduction Factor for Cold Form Strength Determination

Go Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor

Nominal Strength using Allowable Design Strength

Go Nominal Strength = Safety Factor for Design Strength*Allowable Design Strength

Allowable Design Strength

Go Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength

Flat Width Ratio for Deflection Determination

Go Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)

Flat Width Ratio for Safe Load Determination

Go Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)

Compressive Stress when Basic Design Stress restricted to 20000 psi

Go Maximum Compressive Stress of Concrete = 24700-470*Flat Width Ratio

Allowable Design Strength Formula

Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength
R_a = R_n/f_s

What is Factor of Safety?

The factor of safety, also known as a safety factor, expresses how much stronger a system is than it needs to be for an intended load.

How to Calculate Allowable Design Strength?

Allowable Design Strength calculator uses Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength to calculate the Allowable Design Strength, The Allowable Design Strength is defined as the maximum strength of a member considered for designing. The allowable design strength is determined by dividing the nominal strength by a safety factor. Allowable Design Strength is denoted by R_a symbol.

How to calculate Allowable Design Strength using this online calculator? To use this online calculator for Allowable Design Strength, enter Nominal Strength (R_n) & Safety Factor for Design Strength (f_s) and hit the calculate button. Here is how the Allowable Design Strength calculation can be explained with given input values -> 0.000833 = 1500000000/1.8.

FAQ

What is Allowable Design Strength?

The Allowable Design Strength is defined as the maximum strength of a member considered for designing. The allowable design strength is determined by dividing the nominal strength by a safety factor and is represented as R_a = R_n/f_s or Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength. Nominal Strength is defined as the capacity of the member or structure to resist the effect of loads & The Safety Factor for Design Strength expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Allowable Design Strength?

The Allowable Design Strength is defined as the maximum strength of a member considered for designing. The allowable design strength is determined by dividing the nominal strength by a safety factor is calculated using Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength. To calculate Allowable Design Strength, you need Nominal Strength (R_n) & Safety Factor for Design Strength (f_s). With our tool, you need to enter the respective value for Nominal Strength & Safety Factor for Design 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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