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

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

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

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

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

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Here is how the Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center equation looks like with Values.

Here is how the Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center equation looks like with Units.

Here is how the Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center equation looks like.

-1056 = (- 48 - (0.4 \cdot 12)) \cdot \frac{2}{0.1}

-1056mm = (- 48N*m - (0.4kN \cdot 12mm)) \cdot \frac{2}{0.1kN}

-1056 = (- 48 - (0.4 \cdot 12)) \cdot \frac{2}{0.1}

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

Follow our step by step solution on how to calculate Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x = (- 48N*m - (0.4kN \cdot 12mm)) \cdot \frac{2}{0.1kN}

Next Step Convert Units

∴

x = (- 48N*m - (400N \cdot 0.012m)) \cdot \frac{2}{100N}

Next Step Prepare to Evaluate

∴

x = (- 48 - (400 \cdot 0.012)) \cdot \frac{2}{100}

Next Step Evaluate

∴

x = -1.056m

LAST Step Convert to Output's Unit

∴

x = -1056mm

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

Variables

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

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

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

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

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

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

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

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}

How to Evaluate Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center?

Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center evaluator uses Distance of Deflection from end A = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Greatest Safe Load) to evaluate the Distance of Deflection from end A, The Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center formula is defined as the measure of the deflection of a strut from its original position when subjected to both compressive axial thrust and a transverse point load at the center, providing insight into the strut's behavior under combined loads. Distance of Deflection from end A is denoted by x symbol.

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

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

What is the formula to find Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center?

The formula of Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center is expressed as Distance of Deflection from end A = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Greatest Safe Load). Here is an example- -1056000 = (-48-(400*0.012))*2/(100).

How to calculate Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center?

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

Can the Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center be negative?

No, the Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center, measured in Length cannot be negative.

Which unit is used to measure Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center?

Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of Deflection from end A for Strut with Axial and Transverse Point Load at Center can be measured.

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

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

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

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

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

Variable Name