FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Q Factor Formula

Fx Copy

LaTeX Copy

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

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

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

Q Factor Example

With values

With units

Only example

Here is how the Q Factor equation looks like with Values.

Here is how the Q Factor equation looks like with Units.

Here is how the Q Factor equation looks like.

0.0142 = ({(0.5 \cdot \frac{450}{15})}^{2}) \cdot (\frac{250}{2 \cdot 3.1416 \cdot 3.1416 \cdot 200000})

0.0142 = ({(0.5 \cdot \frac{450mm}{15mm})}^{2}) \cdot (\frac{250MPa}{2 \cdot 3.1416 \cdot 3.1416 \cdot 200000MPa})

0.0142 = ({(0.5 \cdot \frac{450}{15})}^{2}) \cdot (\frac{250}{2 \cdot 3.1416 \cdot 3.1416 \cdot 200000})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Bridge and Suspension Cable » fx Q Factor

Q Factor Solution

Follow our step by step solution on how to calculate Q Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q factor = ({(0.5 \cdot \frac{450mm}{15mm})}^{2}) \cdot (\frac{250MPa}{2 \cdot π \cdot π \cdot 200000MPa})

Next Step Substitute values of Constants

∴

Q factor = ({(0.5 \cdot \frac{450mm}{15mm})}^{2}) \cdot (\frac{250MPa}{2 \cdot 3.1416 \cdot 3.1416 \cdot 200000MPa})

Next Step Convert Units

∴

Q factor = ({(0.5 \cdot \frac{450mm}{15mm})}^{2}) \cdot (\frac{2.5E+8Pa}{2 \cdot 3.1416 \cdot 3.1416 \cdot 2E+11Pa})

Next Step Prepare to Evaluate

∴

Q factor = ({(0.5 \cdot \frac{450}{15})}^{2}) \cdot (\frac{2.5E+8}{2 \cdot 3.1416 \cdot 3.1416 \cdot 2E+11})

Next Step Evaluate

∴

Q factor = 0.0142482914497037

LAST Step Rounding Answer

∴

Q factor = 0.0142

Q Factor Formula Elements

Variables

Constants

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

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

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

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

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

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 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 Steel Yield Strength given Q Factor

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

How to Evaluate Q Factor?

Q Factor evaluator uses Factor Q = ((Effective Length Factor*Length of Member between Supports/Radius of Gyration)^2)*(Yield Strength of Steel/(2*pi*pi*Modulus of Elasticity)) to evaluate the Factor Q, The Q Factor formula is defined as geometrical constant depending upon material of member along with slenderness ratio. Factor Q is denoted by Q_factor symbol.

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

FAQs on Q Factor

What is the formula to find Q Factor?

The formula of Q Factor is expressed as Factor Q = ((Effective Length Factor*Length of Member between Supports/Radius of Gyration)^2)*(Yield Strength of Steel/(2*pi*pi*Modulus of Elasticity)). Here is an example- 0.014248 = ((0.5*0.45/0.015)^2)*(250000000/(2*pi*pi*200000000000)).

How to calculate Q Factor?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Q Factor Formula

Q Factor Example

Q Factor Solution

Q Factor Formula Elements

Other formulas in Load and Resistance Factor for Bridge Columns category

How to Evaluate Q Factor?

FAQs on Q Factor

Variable Name