Allowable Stress when Slenderness Ratio is Less than Cc Calculator

✖Yield strength of steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+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%
✖Slenderness Ratio Cc is the ratio that demarcates between inelastic member buckling from elastic member buckling.ⓘ Slenderness Ratio Cc [C_c]			+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 Stress when Slenderness Ratio is Less than Cc [F_a]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Load, Stress and Fasteners Formulas PDF PDF Image

Allowable Stress when Slenderness Ratio is Less than Cc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
F_a = (f_y/2.12)*(1-((k*L/r)^2)/(2*C_c^2))
This formula uses 6 Variables

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.
Yield Strength of Steel - (Measured in Megapascal) - Yield strength of steel is the level of stress that corresponds to the yield point.
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.
Slenderness Ratio Cc - Slenderness Ratio Cc is the ratio that demarcates between inelastic member buckling from elastic member buckling.

STEP 1: Convert Input(s) to Base Unit

Yield Strength of Steel: 250 Megapascal --> 250 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)
Slenderness Ratio Cc: 200 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = (f_y/2.12)*(1-((k*L/r)^2)/(2*C_c^2)) --> (250/2.12)*(1-((0.5*3/0.015)^2)/(2*200^2))

Evaluating ... ...

F_a = 103.183962264151

STEP 3: Convert Result to Output's Unit

103183962.264151 Pascal -->103.183962264151 Megapascal (Check conversion here)

FINAL ANSWER

103.183962264151 ≈ 103.184 Megapascal <-- Allowable Stresses in Columns

(Calculation completed in 00.007 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 Stress when Slenderness Ratio is Less than Cc

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 Stress when Slenderness Ratio is Less than Cc Formula

LaTeX Go

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 Stress when Slenderness Ratio is Less than Cc?

Allowable Stress when Slenderness Ratio is Less than Cc calculator uses 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)) to calculate the Allowable Stresses in Columns, The Allowable Stress when Slenderness Ratio is Less than Cc formula is defined as the maximum stress a concentrically loaded column can take before failure. Allowable Stresses in Columns is denoted by F_a symbol.

How to calculate Allowable Stress when Slenderness Ratio is Less than Cc using this online calculator? To use this online calculator for Allowable Stress when Slenderness Ratio is Less than Cc, enter Yield Strength of Steel (f_y), Effective Length Factor (k), Length of Bridge Column (L), Radius of Gyration (r) & Slenderness Ratio Cc (C_c) and hit the calculate button. Here is how the Allowable Stress when Slenderness Ratio is Less than Cc calculation can be explained with given input values -> 0.000103 = (250000000/2.12)*(1-((0.5*3/0.015)^2)/(2*200^2)).

FAQ

What is Allowable Stress when Slenderness Ratio is Less than Cc?

The Allowable Stress when Slenderness Ratio is Less than Cc formula is defined as the maximum stress a concentrically loaded column can take before failure and is represented as F_a = (f_y/2.12)*(1-((k*L/r)^2)/(2*C_c^2)) or 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)). Yield strength of steel is the level of stress that corresponds to the yield point, 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 & Slenderness Ratio Cc is the ratio that demarcates between inelastic member buckling from elastic member buckling.

How to calculate Allowable Stress when Slenderness Ratio is Less than Cc?

The Allowable Stress when Slenderness Ratio is Less than Cc formula is defined as the maximum stress a concentrically loaded column can take before failure is calculated using 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)). To calculate Allowable Stress when Slenderness Ratio is Less than Cc, you need Yield Strength of Steel (f_y), Effective Length Factor (k), Length of Bridge Column (L), Radius of Gyration (r) & Slenderness Ratio Cc (C_c). With our tool, you need to enter the respective value for Yield Strength of Steel, Effective Length Factor, Length of Bridge Column, Radius of Gyration & Slenderness Ratio Cc 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 Yield Strength of Steel, Effective Length Factor, Length of Bridge Column, Radius of Gyration & Slenderness Ratio Cc. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search