Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned Calculator

✖The critical slenderness ratio is the ratio of the column length in meters, millimeters, and inches to the least radius of gyration in meters, millimeters and inches. The value ranges from 120-160.ⓘ Critical Slenderness Ratio [L\|r]			+10% -10%
✖The section area of column is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Section Area of Column [A]			+10% -10%

✖The allowable load is the load which induces the maximum permissible unit stress at a critical section of a structural member.ⓘ Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned [Q]

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Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned

Formula

`"Q" = (15000-(1/3)*"L|r"^2)*"A"`

Example

`"442.4507lbs"=(15000-(1/3)*("140")^2)*"81in²"`

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Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column
Q = (15000-(1/3)*L|r^2)*A
This formula uses 3 Variables

Variables Used

Allowable Load - (Measured in Pound) - The allowable load is the load which induces the maximum permissible unit stress at a critical section of a structural member.
Critical Slenderness Ratio - The critical slenderness ratio is the ratio of the column length in meters, millimeters, and inches to the least radius of gyration in meters, millimeters and inches. The value ranges from 120-160.
Section Area of Column - (Measured in Square Meter) - The section area of column is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Critical Slenderness Ratio: 140 --> No Conversion Required
Section Area of Column: 81 Square Inch --> 0.0522579600004181 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (15000-(1/3)*L|r^2)*A --> (15000-(1/3)*140^2)*0.0522579600004181

Evaluating ... ...

Q = 442.45072800354

STEP 3: Convert Result to Output's Unit

200.692274327791 Kilogram -->442.45072800354 Pound (Check conversion here)

FINAL ANSWER

442.45072800354 ≈ 442.4507 Pound <-- Allowable Load

(Calculation completed in 00.020 seconds)

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< 6 Additional Bridge Column Formulas Calculators

Allowable Unit Load for Bridges using Structural Carbon Steel

Go Allowable Load = (Yield Point of Material/Factor of Safety for Bridge Column)/(1+(0.25*sec(0.375*Critical Slenderness Ratio)*sqrt((Factor of Safety for Bridge Column*Total Allowable Load for Bridges)/(Modulus of Elasticity of Material*Section Area of Column))))*Section Area of Column

Ultimate Unit Load for Bridges using Structural Carbon Steel

Go Ultimate Load = (Yield Point of Material/(1+0.25*sec(0.375*Column Length*sqrt(Ultimate Crushing Load for Columns/(Modulus of Elasticity of Material*Section Area of Column)))))*Section Area of Column

Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned

Go Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column

Allowable Load for Bridges using Structural Carbon Steel

Go Allowable Load = (15000-(1/4)*Critical Slenderness Ratio^2)*Section Area of Column

Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned

Go Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column

Ultimate Load for Bridges using Structural Carbon Steel

Go Ultimate Load = (26500-0.425*Critical Slenderness Ratio^2)*Section Area of Column

Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned Formula

Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column
Q = (15000-(1/3)*L|r^2)*A

What is Allowable Load?

The allowable load is based on the application of a safety factor to the mean result of laboratory testing to failure (ultimate load), regardless of the controlling failure mode observed in the tests.

Define Carbon Steel

Carbon steel is a steel with carbon content from about 0.05-2.1% by weight. The American Iron and Steel Institute (AISI) states:
- no minimum content is specified or required for chromium, cobalt, molybdenum, nickel, niobium, titanium, tungsten, vanadium, zirconium, or any other element to be added to obtain a desired alloying effect,
- the specified minimum for copper does not exceed 0.40%,
- or the maximum content specified for any of the following elements does not exceed the percentages noted: manganese 1.65%, silicon 0.60%; copper 0.60%

How to Calculate Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned?

Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned calculator uses Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column to calculate the Allowable Load, The Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned formula is defined as the load that induces the maximum permissible unit stress at a critical section of a structural member when the critical slenderness ratio has a value of about 140 and columns are pinned. Allowable Load is denoted by Q symbol.

How to calculate Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned using this online calculator? To use this online calculator for Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned, enter Critical Slenderness Ratio (L|r) & Section Area of Column (A) and hit the calculate button. Here is how the Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned calculation can be explained with given input values -> 975.4369 = (15000-(1/3)*140^2)*0.0522579600004181.

FAQ

What is Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned?

The Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned formula is defined as the load that induces the maximum permissible unit stress at a critical section of a structural member when the critical slenderness ratio has a value of about 140 and columns are pinned and is represented as Q = (15000-(1/3)*L|r^2)*A or Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column. The critical slenderness ratio is the ratio of the column length in meters, millimeters, and inches to the least radius of gyration in meters, millimeters and inches. The value ranges from 120-160 & The section area of column is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned?

The Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned formula is defined as the load that induces the maximum permissible unit stress at a critical section of a structural member when the critical slenderness ratio has a value of about 140 and columns are pinned is calculated using Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column. To calculate Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned, you need Critical Slenderness Ratio (L|r) & Section Area of Column (A). With our tool, you need to enter the respective value for Critical Slenderness Ratio & Section Area 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 Allowable Load?

In this formula, Allowable Load uses Critical Slenderness Ratio & Section Area of Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Allowable Load = (Yield Point of Material/Factor of Safety for Bridge Column)/(1+(0.25*sec(0.375*Critical Slenderness Ratio)*sqrt((Factor of Safety for Bridge Column*Total Allowable Load for Bridges)/(Modulus of Elasticity of Material*Section Area of Column))))*Section Area of Column
Allowable Load = (15000-(1/4)*Critical Slenderness Ratio^2)*Section Area of Column

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