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

GoAllowable Unit Load for Bridges using Structural Carbon Steel Formula

GoAllowable Load for Bridges using Structural Carbon Steel Formula

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The allowable load is the load which induces the maximum permissible unit stress at a critical section of a structural member. Check FAQs

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

Q - Allowable Load?L|r - Critical Slenderness Ratio?A - Section Area of Column?

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

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

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

Here is how the Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned equation looks like.

442.4507 = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 81

442.4507lbs = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 81in²

442.4507 = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 81

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 81in²

Next Step Convert Units

∴

Q = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 0.0523m²

Next Step Prepare to Evaluate

∴

Q = (15000 - (\frac{1}{3}) \cdot 140^{2}) \cdot 0.0523

Next Step Evaluate

∴

Q = 200.692274327791kg

Next Step Convert to Output's Unit

∴

Q = 442.45072800354lbs

LAST Step Rounding Answer

∴

Q = 442.4507lbs

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

Variables

Allowable Load

The allowable load is the load which induces the maximum permissible unit stress at a critical section of a structural member.

Symbol: Q

Measurement: WeightUnit: lbs

Note: Value can be positive or negative.

Formulas to find Allowable 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 Allowable Load

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

Other formulas in Additional Bridge Column Formulas category

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

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

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

How to Evaluate 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 evaluator uses Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column to evaluate 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 evaluate Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned using this online evaluator? To use this online evaluator 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.

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

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

The formula of Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned is expressed as Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column. Here is an example- 975.4369 = (15000-(1/3)*140^2)*0.0522579600004181.

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

With Critical Slenderness Ratio (L|r) & Section Area of Column (A) we can find Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned using the formula - Allowable Load = (15000-(1/3)*Critical Slenderness Ratio^2)*Section Area of Column.

What are the other ways to Calculate Allowable Load?

Here are the different ways to Calculate Allowable Load-

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

Can the Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned be negative?

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

Which unit is used to measure 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 is usually measured using the Pound[lbs] for Weight. Kilogram[lbs], Gram[lbs], Milligram[lbs] are the few other units in which Allowable Load for Bridges using Structural Carbon Steel when Column Ends are Pinned can be measured.

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

​GoAllowable Unit Load for Bridges using Structural Carbon Steel Formula

​GoAllowable Load for Bridges using Structural Carbon Steel Formula

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

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

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

Other Formulas to find Allowable Load

Other formulas in Additional Bridge Column Formulas category

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

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

Variable Name

GoAllowable Unit Load for Bridges using Structural Carbon Steel Formula

GoAllowable Load for Bridges using Structural Carbon Steel Formula