Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications Calculator

✖The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality.ⓘ Modulus of Elasticity [E]			+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 bridge column is the distance between the two floors or the distance between the column's fixed points (fixed or pinned), where all its movement is constrained in all directions.ⓘ Length of Bridge Column [L]			+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%

✖The allowable stresses in columns is the material failure stress (a property of the material) divided by a factor of safety greater than one.ⓘ Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications [F_a]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Load, Stress and Fasteners Formulas PDF PDF Image

Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2)
F_a = (pi^2*E)/(2.12*(k*L/r)^2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Allowable Stresses in Columns - (Measured in Megapascal) - The allowable stresses in columns is the material failure stress (a property of the material) divided by a factor of safety greater than one.
Modulus of Elasticity - (Measured in Megapascal) - The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality.
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 Bridge Column - (Measured in Meter) - Length of bridge column is the distance between the two floors or the distance between the column's fixed points (fixed or pinned), where all its movement is constrained in all directions.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity: 50 Megapascal --> 50 Megapascal No Conversion Required
Effective Length Factor: 0.5 --> No Conversion Required
Length of Bridge Column: 3 Meter --> 3 Meter No Conversion Required
Radius of Gyration: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = (pi^2*E)/(2.12*(k*L/r)^2) --> (pi^2*50)/(2.12*(0.5*3/0.015)^2)

Evaluating ... ...

F_a = 0.0232773688704938

STEP 3: Convert Result to Output's Unit

23277.3688704938 Pascal -->0.0232773688704938 Megapascal (Check conversion here)

FINAL ANSWER

0.0232773688704938 ≈ 0.023277 Megapascal <-- Allowable Stresses in Columns

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Bridge and Suspension Cable » Load, Stress and Fasteners » Allowable Stress Design for Bridges » Allowable Stress Design for Bridge Columns » Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Allowable Stress Design for Bridge Columns Calculators

Allowable Stress when Slenderness Ratio is Less than Cc

LaTeX Go Allowable Stresses in Columns = (Yield Strength of Steel/2.12)*(1-((Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2)/(2*Slenderness Ratio Cc^2))

Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications

LaTeX Go Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2)

Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications Formula

LaTeX Go

Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2)
F_a = (pi^2*E)/(2.12*(k*L/r)^2)

What is Allowable Stress in concentrically loaded columns?

The allowable stress or allowable strength is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material. The allowable stresses are generally defined by building codes, and for steel, and aluminum is a fraction of their yield stress (strength).

How to Calculate Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications?

Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications calculator uses Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2) to calculate the Allowable Stresses in Columns, The Allowable Stresses in Concentrically loaded Columns based on AASHTO Bridge Design Specifications (Braced Column) formula is defined as the maximum allowable stress a concentrically column can take before failure. Allowable Stresses in Columns is denoted by F_a symbol.

How to calculate Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications using this online calculator? To use this online calculator for Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications, enter Modulus of Elasticity (E), Effective Length Factor (k), Length of Bridge Column (L) & Radius of Gyration (r) and hit the calculate button. Here is how the Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications calculation can be explained with given input values -> 2.3E-8 = (pi^2*50000000)/(2.12*(0.5*3/0.015)^2).

FAQ

What is Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications?

The Allowable Stresses in Concentrically loaded Columns based on AASHTO Bridge Design Specifications (Braced Column) formula is defined as the maximum allowable stress a concentrically column can take before failure and is represented as F_a = (pi^2*E)/(2.12*(k*L/r)^2) or Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2). The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality, 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 bridge column is the distance between the two floors or the distance between the column's fixed points (fixed or pinned), where all its movement is constrained in all directions & 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.

How to calculate Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications?

The Allowable Stresses in Concentrically loaded Columns based on AASHTO Bridge Design Specifications (Braced Column) formula is defined as the maximum allowable stress a concentrically column can take before failure is calculated using Allowable Stresses in Columns = (pi^2*Modulus of Elasticity)/(2.12*(Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2). To calculate Allowable Stresses in Concentrically Loaded Columns based on AASHTO Bridge Design Specifications, you need Modulus of Elasticity (E), Effective Length Factor (k), Length of Bridge Column (L) & Radius of Gyration (r). With our tool, you need to enter the respective value for Modulus of Elasticity, Effective Length Factor, Length of Bridge Column & Radius of Gyration 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 Allowable Stresses in Columns?

In this formula, Allowable Stresses in Columns uses Modulus of Elasticity, Effective Length Factor, Length of Bridge Column & Radius of Gyration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Allowable Stresses in Columns = (Yield Strength of Steel/2.12)*(1-((Effective Length Factor*Length of Bridge Column/Radius of Gyration)^2)/(2*Slenderness Ratio Cc^2))

Home

FREE PDFs

🔍 Search