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

GoUltimate Unit Load for Bridges using Structural Carbon Steel Formula

GoUltimate Load for Bridges using Structural Carbon Steel Formula

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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. Check FAQs

P u = (25600 - 0.566 \cdot {L|r}^{2}) \cdot A

P_u - Ultimate Load?L|r - Critical Slenderness Ratio?A - Section Area of Column?

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

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Here is how the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned equation looks like with Values.

Here is how the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned equation looks like with Units.

Here is how the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned equation looks like.

758.0749 = (25600 - 0.566 \cdot 140^{2}) \cdot 81

758.0749lbs = (25600 - 0.566 \cdot 140^{2}) \cdot 81in²

758.0749 = (25600 - 0.566 \cdot 140^{2}) \cdot 81

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

Follow our step by step solution on how to calculate Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned?

FIRST Step Consider the formula

P u = (25600 - 0.566 \cdot {L|r}^{2}) \cdot A

Next Step Substitute values of Variables

∴

P u = (25600 - 0.566 \cdot 140^{2}) \cdot 81in²

Next Step Convert Units

∴

P u = (25600 - 0.566 \cdot 140^{2}) \cdot 0.0523m²

Next Step Prepare to Evaluate

∴

P u = (25600 - 0.566 \cdot 140^{2}) \cdot 0.0523

Next Step Evaluate

∴

P u = 343.856977359292kg

Next Step Convert to Output's Unit

∴

P u = 758.074870950065lbs

LAST Step Rounding Answer

∴

P u = 758.0749lbs

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

Variables

Ultimate Load

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.

Symbol: P_u

Measurement: WeightUnit: lbs

Note: Value can be positive or negative.

Formulas to find Ultimate Load

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.

Symbol: L|r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Critical Slenderness Ratio

Section Area of Column

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.

Symbol: A

Measurement: AreaUnit: in²

Note: Value can be positive or negative.

Formulas to find Section Area of Column

Other Formulas to find Ultimate Load

Go Ultimate Unit Load for Bridges using Structural Carbon Steel

P u = (\frac{S y}{1 + 0.25 \cdot \sec (0.375 \cdot l \cdot \sqrt{\frac{P cs}{ε \cdot A}})}) \cdot A

Go Ultimate Load for Bridges using Structural Carbon Steel

P u = (26500 - 0.425 \cdot {L|r}^{2}) \cdot A

Other formulas in Additional Bridge Column Formulas category

Go Allowable Unit Load for Bridges using Structural Carbon Steel

Q = \frac{\frac{S y}{f s}}{1 + (0.25 \cdot \sec (0.375 \cdot L|r) \cdot \sqrt{\frac{f s \cdot P}{ε \cdot A}})} \cdot A

Go Allowable Load for Bridges using Structural Carbon Steel

Q = (15000 - (\frac{1}{4}) \cdot {L|r}^{2}) \cdot A

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

Q = (15000 - (\frac{1}{3}) \cdot {L|r}^{2}) \cdot A

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

Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned evaluator uses Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column to evaluate 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 evaluate Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned?

The formula of Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned is expressed as Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column. Here is an example- 1671.269 = (25600-0.566*140^2)*0.0522579600004181.

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

With Critical Slenderness Ratio (L|r) & Section Area of Column (A) we can find Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned using the formula - Ultimate Load = (25600-0.566*Critical Slenderness Ratio^2)*Section Area of Column.

What are the other ways to Calculate Ultimate Load?

Here are the different ways to Calculate Ultimate Load-

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

Can the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned be negative?

Yes, the Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned, measured in Weight can be negative.

Which unit is used to measure Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned?

Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned is usually measured using the Pound[lbs] for Weight. Kilogram[lbs], Gram[lbs], Milligram[lbs] are the few other units in which Ultimate Load for Bridges using Structural Carbon Steel when Columns are Pinned can be measured.

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

​GoUltimate Unit Load for Bridges using Structural Carbon Steel Formula

​GoUltimate Load for Bridges using Structural Carbon Steel Formula

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

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

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

Other Formulas to find Ultimate Load

Other formulas in Additional Bridge Column Formulas category

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

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

Variable Name

GoUltimate Unit Load for Bridges using Structural Carbon Steel Formula

GoUltimate Load for Bridges using Structural Carbon Steel Formula