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Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Formula

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Column Compressive Load is the load applied to a column that is compressive in nature. Check FAQs

P compressive = - \frac{M b + (W p \cdot \frac{x}{2})}{δ}

P_compressive - Column Compressive Load?M_b - Bending Moment in Column?W_p - Greatest Safe Load?x - Distance of Deflection from end A?δ - Deflection at Column Section?

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Example

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Here is how the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center equation looks like with Values.

Here is how the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center equation looks like with Units.

Here is how the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center equation looks like.

-4.1458 = - \frac{48 + (0.1 \cdot \frac{35}{2})}{12}

-4.1458kN = - \frac{48N*m + (0.1kN \cdot \frac{35mm}{2})}{12mm}

-4.1458 = - \frac{48 + (0.1 \cdot \frac{35}{2})}{12}

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Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Solution

Follow our step by step solution on how to calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

FIRST Step Consider the formula

P compressive = - \frac{M b + (W p \cdot \frac{x}{2})}{δ}

Next Step Substitute values of Variables

∴

P compressive = - \frac{48N*m + (0.1kN \cdot \frac{35mm}{2})}{12mm}

Next Step Convert Units

∴

P compressive = - \frac{48N*m + (100N \cdot \frac{0.035m}{2})}{0.012m}

Next Step Prepare to Evaluate

∴

P compressive = - \frac{48 + (100 \cdot \frac{0.035}{2})}{0.012}

Next Step Evaluate

∴

P compressive = -4145.83333333333N

Next Step Convert to Output's Unit

∴

P compressive = -4.14583333333333kN

LAST Step Rounding Answer

∴

P compressive = -4.1458kN

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Formula Elements

Variables

Column Compressive Load

Column Compressive Load is the load applied to a column that is compressive in nature.

Symbol: P_compressive

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Compressive Load

Bending Moment in Column

Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment in Column

Greatest Safe Load

Greatest Safe Load is the maximum safe point load allowable at the center of the beam.

Symbol: W_p

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Greatest Safe Load

Distance of Deflection from end A

Distance of Deflection from end A is the distance x of deflection from end A.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Deflection from end A

Deflection at Column Section

Deflection at Column Section is the lateral displacement at the section of the column.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection at Column Section

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

Go Bending Moment at Section for Strut with Axial and Transverse Point Load at Center

M b = - (P compressive \cdot δ) - (W p \cdot \frac{x}{2})

Go Deflection at Section for Strut with Axial and Transverse Point Load at Center

δ = P compressive - \frac{M b + (W p \cdot \frac{x}{2})}{P compressive}

Go Transverse Point Load for Strut with Axial and Transverse Point Load at Center

W p = (- M b - (P compressive \cdot δ)) \cdot \frac{2}{x}

Go Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center

x = (- M b - (P compressive \cdot δ)) \cdot \frac{2}{W p}

How to Evaluate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center evaluator uses Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section) to evaluate the Column Compressive Load, The Compressive Axial Load for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum load that a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity and stability analysis. Column Compressive Load is denoted by P_compressive symbol.

How to evaluate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center using this online evaluator? To use this online evaluator for Compressive Axial Load for Strut with Axial and Transverse Point Load at Center, enter Bending Moment in Column (M_b), Greatest Safe Load (W_p), Distance of Deflection from end A (x) & Deflection at Column Section (δ) and hit the calculate button.

FAQs on Compressive Axial Load for Strut with Axial and Transverse Point Load at Center

What is the formula to find Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

The formula of Compressive Axial Load for Strut with Axial and Transverse Point Load at Center is expressed as Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section). Here is an example- -0.004146 = -(48+(100*0.035/2))/(0.012).

How to calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

With Bending Moment in Column (M_b), Greatest Safe Load (W_p), Distance of Deflection from end A (x) & Deflection at Column Section (δ) we can find Compressive Axial Load for Strut with Axial and Transverse Point Load at Center using the formula - Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section).

Can the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center be negative?

No, the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center, measured in Force cannot be negative.

Which unit is used to measure Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Compressive Axial Load for Strut with Axial and Transverse Point Load at Center can be measured.

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Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Formula

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Example

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Solution

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Formula Elements

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

How to Evaluate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

FAQs on Compressive Axial Load for Strut with Axial and Transverse Point Load at Center

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