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Allowable Design Strength Formula

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Allowable Design Strength is the maximum strength for designing a member. Check FAQs

R a = \frac{R n}{f s}

R_a - Allowable Design Strength?R_n - Nominal Strength?f_s - Safety Factor for Design Strength?

Allowable Design Strength Example

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With units

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Here is how the Allowable Design Strength equation looks like with Values.

Here is how the Allowable Design Strength equation looks like with Units.

Here is how the Allowable Design Strength equation looks like.

833.3333 = \frac{1500}{1.8}

833.3333MPa = \frac{1500MPa}{1.8}

833.3333 = \frac{1500}{1.8}

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Allowable Design Strength Solution

Follow our step by step solution on how to calculate Allowable Design Strength?

FIRST Step Consider the formula

R a = \frac{R n}{f s}

Next Step Substitute values of Variables

∴

R a = \frac{1500MPa}{1.8}

Next Step Convert Units

∴

R a = \frac{1.5E+9Pa}{1.8}

Next Step Prepare to Evaluate

∴

R a = \frac{1.5E+9}{1.8}

Next Step Evaluate

∴

R a = 833333333.333333Pa

Next Step Convert to Output's Unit

∴

R a = 833.333333333333MPa

LAST Step Rounding Answer

∴

R a = 833.3333MPa

Allowable Design Strength Formula Elements

Variables

Allowable Design Strength

Allowable Design Strength is the maximum strength for designing a member.

Symbol: R_a

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Design Strength

Nominal Strength

Nominal Strength is defined as the capacity of the member or structure to resist the effect of loads.

Symbol: R_n

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Nominal Strength

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.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Safety Factor for Design Strength

Other formulas in Cold Formed or Light Weighted Steel Structures category

Go Nominal Strength using Allowable Design Strength

R n = f s \cdot R a

Go Minimum Allowable Moment of Inertia

I min = 1.83 \cdot (t^{4}) \cdot \sqrt{({w t}^{2}) - 144}

Go Flat Width Ratio of Stiffened Element using Moment of Inertia

w t = \sqrt{{(\frac{I min}{1.83 \cdot t^{4}})}^{2} + 144}

Go Elastic Local Buckling Stress

f cr = \frac{k \cdot π^{2} \cdot E s}{12 \cdot {w t}^{2} \cdot (1 - μ^{2})}

How to Evaluate Allowable Design Strength?

Allowable Design Strength evaluator uses Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength to evaluate 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 evaluate Allowable Design Strength using this online evaluator? To use this online evaluator for Allowable Design Strength, enter Nominal Strength (R_n) & Safety Factor for Design Strength (f_s) and hit the calculate button.

FAQs on Allowable Design Strength

What is the formula to find Allowable Design Strength?

The formula of Allowable Design Strength is expressed as Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength. Here is an example- 0.000833 = 1500000000/1.8.

How to calculate Allowable Design Strength?

With Nominal Strength (R_n) & Safety Factor for Design Strength (f_s) we can find Allowable Design Strength using the formula - Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength.

Can the Allowable Design Strength be negative?

No, the Allowable Design Strength, measured in Pressure cannot be negative.

Which unit is used to measure Allowable Design Strength?

Allowable Design Strength is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Allowable Design Strength can be measured.

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Allowable Design Strength Formula

Allowable Design Strength Example

Allowable Design Strength Solution

Allowable Design Strength Formula Elements

Other formulas in Cold Formed or Light Weighted Steel Structures category

How to Evaluate Allowable Design Strength?

FAQs on Allowable Design Strength

Variable Name