Critical Stress for Cast Iron by NYC code Calculator

✖The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Length of Column [L]			+10% -10%
✖The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration of Column [r_gyration]			+10% -10%

✖Critical stress is required for crack propagation in a brittle material.ⓘ Critical Stress for Cast Iron by NYC code [S_w]

⎘ Copy

👎

Formula

✖

Critical Stress for Cast Iron by NYC code

Formula

`"S"_{"w"} = 9000-40*("L"/"r"_{"gyration "})`

Example

`"4384.615Pa"=9000-40*("3000mm"/"26mm")`

Calculator

LaTeX

Reset

👍

Download Eccentric Loads on Columns Formulas PDF PDF Image

Critical Stress for Cast Iron by NYC code Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column)
S_w = 9000-40*(L/r_gyration)
This formula uses 3 Variables

Variables Used

Critical Stress - (Measured in Pascal) - Critical stress is required for crack propagation in a brittle material.
Effective Length of Column - (Measured in Meter) - The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Radius of Gyration of Column - (Measured in Meter) - The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

STEP 1: Convert Input(s) to Base Unit

Effective Length of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Radius of Gyration of Column: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_w = 9000-40*(L/r_gyration) --> 9000-40*(3/0.026)

Evaluating ... ...

S_w = 4384.61538461538

STEP 3: Convert Result to Output's Unit

4384.61538461538 Pascal --> No Conversion Required

FINAL ANSWER

4384.61538461538 ≈ 4384.615 Pascal <-- Critical Stress

(Calculation completed in 00.005 seconds)

You are here -

Home » Engineering » Civil » Columns » Eccentric Loads on Columns » Typical Short Column Formulas » Critical Stress for Cast Iron by NYC code

Credits

Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has created this Calculator and 50+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 9 Typical Short Column Formulas Calculators

Theoretical Maximum Stress for Johnson Code Steels

Go Theoretical Maximum Stress = Stress at any Point y*(1-(Stress at any Point y/(4*Coefficient for Column End Conditions*(pi^2)*Modulus of Elasticity))*(Effective Length of Column/Radius of Gyration of Column)^2)

Theoretical Maximum Stress for ANC Code 2017ST Aluminium

Go Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column)

Theoretical Maximum Stress for ANC Code Alloy Steel Tubing

Go Theoretical Maximum Stress = 135000-(15.9/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2

Theoretical Maximum Stress for ANC Code Spruce

Go Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2

Critical Stress for Carbon Steel by AISC code

Go Critical Stress = 17000-0.485*(Effective Length of Column/Radius of Gyration of Column)^2

Critical Stress for Carbon Steel by Am. Br. Co. code

Go Critical Stress = 19000-100*(Effective Length of Column/Radius of Gyration of Column)

Critical Stress for Carbon Steel by Chicago code

Go Critical Stress = 16000-70*(Effective Length of Column/Radius of Gyration of Column)

Critical Stress for Carbon Steel by AREA code

Go Critical Stress = 15000-50*(Effective Length of Column/Radius of Gyration of Column)

Critical Stress for Cast Iron by NYC code

Go Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column)

Critical Stress for Cast Iron by NYC code Formula

Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column)
S_w = 9000-40*(L/r_gyration)

Explanation of NYC Code

The NYC Construction Codes consist of the General Administrative Provisions, Building Code, Plumbing Code, Mechanical Code, Fuel Gas Code, and Energy Conservation Code.

Cast Iron explanation

Cast iron is a class of iron–carbon alloys with a carbon content of more than 2%. Its usefulness derives from its relatively low melting temperature. The alloy constituents affect its colour when fractured;
white cast iron has carbide impurities which allow cracks to pass straight through,
grey cast iron has graphite flakes which deflect a passing crack and initiate countless new cracks as the material breaks, and
ductile cast iron has spherical graphite "nodules" which stop the crack from further progressing.

How to Calculate Critical Stress for Cast Iron by NYC code?

Critical Stress for Cast Iron by NYC code calculator uses Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column) to calculate the Critical Stress, The Critical Stress for Cast Iron by NYC code formula is defined as a bifurcation point and represents the point at which the shape of the column changes as the load increases. Critical Stress is denoted by S_w symbol.

How to calculate Critical Stress for Cast Iron by NYC code using this online calculator? To use this online calculator for Critical Stress for Cast Iron by NYC code, enter Effective Length of Column (L) & Radius of Gyration of Column (r_gyration) and hit the calculate button. Here is how the Critical Stress for Cast Iron by NYC code calculation can be explained with given input values -> 4384.615 = 9000-40*(3/0.026).

FAQ

What is Critical Stress for Cast Iron by NYC code?

The Critical Stress for Cast Iron by NYC code formula is defined as a bifurcation point and represents the point at which the shape of the column changes as the load increases and is represented as S_w = 9000-40*(L/r_gyration) or Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column). The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration & The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

How to calculate Critical Stress for Cast Iron by NYC code?

The Critical Stress for Cast Iron by NYC code formula is defined as a bifurcation point and represents the point at which the shape of the column changes as the load increases is calculated using Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column). To calculate Critical Stress for Cast Iron by NYC code, you need Effective Length of Column (L) & Radius of Gyration of Column (r_gyration). With our tool, you need to enter the respective value for Effective Length of Column & Radius of Gyration of Column 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 Critical Stress?

In this formula, Critical Stress uses Effective Length of Column & Radius of Gyration of Column. We can use 4 other way(s) to calculate the same, which is/are as follows -

Critical Stress = 17000-0.485*(Effective Length of Column/Radius of Gyration of Column)^2
Critical Stress = 16000-70*(Effective Length of Column/Radius of Gyration of Column)
Critical Stress = 15000-50*(Effective Length of Column/Radius of Gyration of Column)
Critical Stress = 19000-100*(Effective Length of Column/Radius of Gyration of Column)

Home

FREE PDFs

🔍 Search