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Steel Yield Strength given Q Factor Formula

GoSteel Yield Strength given Buckling Stress for Q Factor Less than or Equal to 1 Formula

GoSteel Yield Strength given Buckling Stress for Q Factor Greater than 1 Formula

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Yield strength of steel is the level of stress that corresponds to the yield point. Check FAQs

f y = \frac{2 \cdot Q factor \cdot π \cdot π \cdot (r^{2}) \cdot E s}{{(k \cdot L c)}^{2}}

f_y - Yield Strength of Steel?Q_factor - Factor Q?r - Radius of Gyration?E_s - Modulus of Elasticity?k - Effective Length Factor?L_c - Length of Member between Supports?π - Archimedes' constant?

Steel Yield Strength given Q Factor Example

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Here is how the Steel Yield Strength given Q Factor equation looks like with Values.

Here is how the Steel Yield Strength given Q Factor equation looks like with Units.

Here is how the Steel Yield Strength given Q Factor equation looks like.

249.9949 = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot (15^{2}) \cdot 200000}{{(0.5 \cdot 450)}^{2}}

249.9949MPa = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot ({15mm}^{2}) \cdot 200000MPa}{{(0.5 \cdot 450mm)}^{2}}

249.9949 = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot (15^{2}) \cdot 200000}{{(0.5 \cdot 450)}^{2}}

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Steel Yield Strength given Q Factor Solution

Follow our step by step solution on how to calculate Steel Yield Strength given Q Factor?

FIRST Step Consider the formula

f y = \frac{2 \cdot Q factor \cdot π \cdot π \cdot (r^{2}) \cdot E s}{{(k \cdot L c)}^{2}}

Next Step Substitute values of Variables

∴

f y = \frac{2 \cdot 0.0142 \cdot π \cdot π \cdot ({15mm}^{2}) \cdot 200000MPa}{{(0.5 \cdot 450mm)}^{2}}

Next Step Substitute values of Constants

∴

f y = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot ({15mm}^{2}) \cdot 200000MPa}{{(0.5 \cdot 450mm)}^{2}}

Next Step Convert Units

∴

f y = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot ({0.015m}^{2}) \cdot 2E+11Pa}{{(0.5 \cdot 0.45m)}^{2}}

Next Step Prepare to Evaluate

∴

f y = \frac{2 \cdot 0.0142 \cdot 3.1416 \cdot 3.1416 \cdot ({0.015}^{2}) \cdot 2E+11}{{(0.5 \cdot 0.45)}^{2}}

Next Step Evaluate

∴

f y = 249994886.234171Pa

Next Step Convert to Output's Unit

∴

f y = 249.994886234171MPa

LAST Step Rounding Answer

∴

f y = 249.9949MPa

Steel Yield Strength given Q Factor Formula Elements

Variables

Constants

Yield Strength of Steel

Yield strength of steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Factor Q

Factor Q is geometrical constant based on the material of the member.

Symbol: Q_factor

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor Q

Radius of Gyration

Radius of Gyration is used to compare how various structural shapes will behave under compression along an axis. It is used to predict buckling in a compression member or beam.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration

Modulus of Elasticity

Modulus of Elasticity of a material is a measure of its stiffness.

Symbol: E_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity

Effective Length Factor

Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Length Factor

Length of Member between Supports

Length of Member between Supports influencing load and resistance factor design for bridge columns.

Symbol: L_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length of Member between Supports

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Yield Strength of Steel

Go Steel Yield Strength given Buckling Stress for Q Factor Less than or Equal to 1

f y = \frac{F cr}{1 - (\frac{Q factor}{2})}

Go Steel Yield Strength given Buckling Stress for Q Factor Greater than 1

f y = F cr \cdot 2 \cdot Q

Other formulas in Load and Resistance Factor for Bridge Columns category

Go Maximum Strength for Compression Members

P u = 0.85 \cdot A g \cdot F cr

Go Column Gross Effective Area given Maximum Strength

A g = \frac{P u}{0.85 \cdot F cr}

Go Buckling Stress given Maximum Strength

F cr = \frac{P u}{0.85 \cdot A g}

Go Q Factor

Q factor = ({(k \cdot \frac{L c}{r})}^{2}) \cdot (\frac{f y}{2 \cdot π \cdot π \cdot E s})

How to Evaluate Steel Yield Strength given Q Factor?

Steel Yield Strength given Q Factor evaluator uses Yield Strength of Steel = (2*Factor Q*pi*pi*(Radius of Gyration^2)*Modulus of Elasticity)/((Effective Length Factor*Length of Member between Supports)^2) to evaluate the Yield Strength of Steel, The Steel Yield Strength given Q Factor formula is defined as the strength at which steel will take load till failure. Yield Strength of Steel is denoted by f_y symbol.

How to evaluate Steel Yield Strength given Q Factor using this online evaluator? To use this online evaluator for Steel Yield Strength given Q Factor, enter Factor Q (Q_factor), Radius of Gyration (r), Modulus of Elasticity (E_s), Effective Length Factor (k) & Length of Member between Supports (L_c) and hit the calculate button.

FAQs on Steel Yield Strength given Q Factor

What is the formula to find Steel Yield Strength given Q Factor?

The formula of Steel Yield Strength given Q Factor is expressed as Yield Strength of Steel = (2*Factor Q*pi*pi*(Radius of Gyration^2)*Modulus of Elasticity)/((Effective Length Factor*Length of Member between Supports)^2). Here is an example- 0.00025 = (2*0.014248*pi*pi*(0.015^2)*200000000000)/((0.5*0.45)^2).

How to calculate Steel Yield Strength given Q Factor?

With Factor Q (Q_factor), Radius of Gyration (r), Modulus of Elasticity (E_s), Effective Length Factor (k) & Length of Member between Supports (L_c) we can find Steel Yield Strength given Q Factor using the formula - Yield Strength of Steel = (2*Factor Q*pi*pi*(Radius of Gyration^2)*Modulus of Elasticity)/((Effective Length Factor*Length of Member between Supports)^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Yield Strength of Steel?

Here are the different ways to Calculate Yield Strength of Steel-

Yield Strength of Steel=Buckling Stress/(1-(Factor Q/2))
Yield Strength of Steel=Buckling Stress*2*Q Factors

Can the Steel Yield Strength given Q Factor be negative?

No, the Steel Yield Strength given Q Factor, measured in Stress cannot be negative.

Which unit is used to measure Steel Yield Strength given Q Factor?

Steel Yield Strength given Q Factor is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Steel Yield Strength given Q Factor can be measured.

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Steel Yield Strength given Q Factor Formula

​GoSteel Yield Strength given Buckling Stress for Q Factor Less than or Equal to 1 Formula

​GoSteel Yield Strength given Buckling Stress for Q Factor Greater than 1 Formula

Steel Yield Strength given Q Factor Example

Steel Yield Strength given Q Factor Solution

Steel Yield Strength given Q Factor Formula Elements

Other Formulas to find Yield Strength of Steel

Other formulas in Load and Resistance Factor for Bridge Columns category

How to Evaluate Steel Yield Strength given Q Factor?

FAQs on Steel Yield Strength given Q Factor

Variable Name

GoSteel Yield Strength given Buckling Stress for Q Factor Less than or Equal to 1 Formula

GoSteel Yield Strength given Buckling Stress for Q Factor Greater than 1 Formula