Ultimate Load for Bridges using Structural Carbon Steel when Columns 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 ultimate load is the absolute maximum magnitude of load that a component or system can sustain, limited only by failure. It is the limit Load multiplied by a prescribed Safety Factor of 1.5.ⓘ Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned [P_u]

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

Formula

`"P"_{"u"} = (25600-0.566*"L|r"^2)*"A"`

Example

`"758.0749lbs"=(25600-0.566*("140")^2)*"81in²"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column
P_u = (25600-0.566*L|r^2)*A
This formula uses 3 Variables

Variables Used

Ultimate Load - (Measured in Pound) - The ultimate load is the absolute maximum magnitude of load that a component or system can sustain, limited only by failure. It is the limit Load multiplied by a prescribed Safety Factor of 1.5.
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

P_u = (25600-0.566*L|r^2)*A --> (25600-0.566*140^2)*0.0522579600004181

Evaluating ... ...

P_u = 758.074870950065

STEP 3: Convert Result to Output's Unit

343.856977359292 Kilogram -->758.074870950065 Pound (Check conversion here)

FINAL ANSWER

758.074870950065 ≈ 758.0749 Pound <-- Ultimate Load

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Load, Stress and Fasteners » Additional Bridge Column Formulas » Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned

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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

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

Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column
P_u = (25600-0.566*L|r^2)*A

What is Ultimate Load?

It the maximum load up which when the load is reached to ultimate load the plastic strain will be developed in material. After ultimate load material cannot be able to take the extra load. If the load is developed in material after ultimate load the material will fail.

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

Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned calculator uses Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column to calculate the Ultimate Load, The Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned formula is defined as the maximum magnitude of load a component or system can sustain, limited only by failure when the critical slenderness ratio has a value of 140. Ultimate Load is denoted by P_u symbol.

How to calculate Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned using this online calculator? To use this online calculator for Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned, enter Critical Slenderness Ratio (L|r) & Section Area of Column (A) and hit the calculate button. Here is how the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned calculation can be explained with given input values -> 1671.269 = (25600-0.566*140^2)*0.0522579600004181.

FAQ

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

The Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned formula is defined as the maximum magnitude of load a component or system can sustain, limited only by failure when the critical slenderness ratio has a value of 140 and is represented as P_u = (25600-0.566*L|r^2)*A or Ultimate Load = (25600-0.566*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 Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned?

The Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned formula is defined as the maximum magnitude of load a component or system can sustain, limited only by failure when the critical slenderness ratio has a value of 140 is calculated using Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column. To calculate Ultimate Load for Bridges using Structural Carbon Steel when Columns 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 Ultimate Load?

In this formula, Ultimate 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 -

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

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