Steel Yield Strength given Q Factor Calculator

✖Factor Q is geometrical constant based on the material of the member.ⓘ Factor Q [Q_factor]			+10% -10%
✖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.ⓘ Radius of Gyration [r]			+10% -10%
✖Modulus of Elasticity of a material is a measure of its stiffness.ⓘ Modulus of Elasticity [E_s]			+10% -10%
✖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.ⓘ Effective Length Factor [k]			+10% -10%
✖Length of Member between Supports influencing load and resistance factor design for bridge columns.ⓘ Length of Member between Supports [L_c]			+10% -10%

✖Yield strength of steel is the level of stress that corresponds to the yield point.ⓘ Steel Yield Strength given Q Factor [f_y]

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Steel Yield Strength given Q Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
f_y = (2*Q_factor*pi*pi*(r^2)*E_s)/((k*L_c)^2)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Yield Strength of Steel - (Measured in Pascal) - Yield strength of steel is the level of stress that corresponds to the yield point.
Factor Q - Factor Q is geometrical constant based on the material of the member.
Radius of Gyration - (Measured in Meter) - 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.
Modulus of Elasticity - (Measured in Pascal) - Modulus of Elasticity of a material is a measure of its stiffness.
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.
Length of Member between Supports - (Measured in Meter) - Length of Member between Supports influencing load and resistance factor design for bridge columns.

STEP 1: Convert Input(s) to Base Unit

Factor Q: 0.014248 --> No Conversion Required
Radius of Gyration: 15 Millimeter --> 0.015 Meter (Check conversion here)
Modulus of Elasticity: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)
Effective Length Factor: 0.5 --> No Conversion Required
Length of Member between Supports: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_y = (2*Q_factor*pi*pi*(r^2)*E_s)/((k*L_c)^2) --> (2*0.014248*pi*pi*(0.015^2)*200000000000)/((0.5*0.45)^2)

Evaluating ... ...

f_y = 249994886.234171

STEP 3: Convert Result to Output's Unit

249994886.234171 Pascal -->249.994886234171 Megapascal (Check conversion here)

FINAL ANSWER

249.994886234171 ≈ 249.9949 Megapascal <-- Yield Strength of Steel

(Calculation completed in 00.004 seconds)

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< Load and Resistance Factor for Bridge Columns Calculators

Q Factor

LaTeX Go Factor Q = ((Effective Length Factor*Length of Member between Supports/Radius of Gyration)^2)*(Yield Strength of Steel/(2*pi*pi*Modulus of Elasticity))

Column Gross Effective Area given Maximum Strength

LaTeX Go Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress)

Buckling Stress given Maximum Strength

LaTeX Go Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column)

Maximum Strength for Compression Members

LaTeX Go Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress

Steel Yield Strength given Q Factor Formula

LaTeX Go

What is Steel Yield Strength?

The yield strength or yield stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically. The yield strength is often used to determine the maximum allowable load in a mechanical component, since it represents the upper limit to forces that can be applied without producing permanent deformation.

What is Q Factor?

Q Factor is a unitless quantity depending upon the yield strength and elastic modulus of material, along with the slenderness ratio of the column.

How to Calculate Steel Yield Strength given Q Factor?

Steel Yield Strength given Q Factor calculator 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 calculate 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 calculate Steel Yield Strength given Q Factor using this online calculator? To use this online calculator 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. Here is how the Steel Yield Strength given Q Factor calculation can be explained with given input values -> 0.00025 = (2*0.014248*pi*pi*(0.015^2)*200000000000)/((0.5*0.45)^2).

FAQ

What is Steel Yield Strength given Q Factor?

The Steel Yield Strength given Q Factor formula is defined as the strength at which steel will take load till failure and is represented as f_y = (2*Q_factor*pi*pi*(r^2)*E_s)/((k*L_c)^2) or 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). Factor Q is geometrical constant based on the material of the member, 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, Modulus of Elasticity of a material is a measure of its stiffness, 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 & Length of Member between Supports influencing load and resistance factor design for bridge columns.

How to calculate Steel Yield Strength given Q Factor?

The Steel Yield Strength given Q Factor formula is defined as the strength at which steel will take load till failure is calculated using 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 calculate Steel Yield Strength given Q Factor, you need Factor Q (Q_factor), Radius of Gyration (r), Modulus of Elasticity (E_s), Effective Length Factor (k) & Length of Member between Supports (L_c). With our tool, you need to enter the respective value for Factor Q, Radius of Gyration, Modulus of Elasticity, Effective Length Factor & Length of Member between Supports and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Yield Strength of Steel?

In this formula, Yield Strength of Steel uses Factor Q, Radius of Gyration, Modulus of Elasticity, Effective Length Factor & Length of Member between Supports. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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