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

GoMaximum Deflection for Strut with Axial and Transverse Point Load at Center Formula

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

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

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

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

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

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

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

399875.625 = 0.4 - \frac{48 + (0.1 \cdot \frac{35}{2})}{0.4}

399875.625mm = 0.4kN - \frac{48N*m + (0.1kN \cdot \frac{35mm}{2})}{0.4kN}

399875.625 = 0.4 - \frac{48 + (0.1 \cdot \frac{35}{2})}{0.4}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = 0.4kN - \frac{48N*m + (0.1kN \cdot \frac{35mm}{2})}{0.4kN}

Next Step Convert Units

∴

δ = 400N - \frac{48N*m + (100N \cdot \frac{0.035m}{2})}{400N}

Next Step Prepare to Evaluate

∴

δ = 400 - \frac{48 + (100 \cdot \frac{0.035}{2})}{400}

Next Step Evaluate

∴

δ = 399.875625m

LAST Step Convert to Output's Unit

∴

δ = 399875.625mm

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

Variables

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

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

Other Formulas to find Deflection at Column Section

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

δ = W p \cdot (((\frac{\sqrt{I \cdot \frac{ε column}{P compressive}}}{2 \cdot P compressive}) \cdot \tan ((\frac{l column}{2}) \cdot (\sqrt{\frac{P compressive}{I \cdot \frac{ε column}{P compressive}}}))) - (\frac{l column}{4 \cdot P compressive}))

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

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

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

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

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

The formula of Deflection at Section for Strut with Axial and Transverse Point Load at Center is expressed as Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load). Here is an example- 4E+8 = 400-(48+(100*0.035/2))/(400).

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

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

What are the other ways to Calculate Deflection at Column Section?

Here are the different ways to Calculate Deflection at Column Section-

Deflection at Column Section=Greatest Safe Load*((((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load)))))-(Column Length/(4*Column Compressive Load)))

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

No, the Deflection at Section for Strut with Axial and Transverse Point Load at Center, measured in Length cannot be negative.

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

Deflection at Section 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 Deflection at Section for Strut with Axial and Transverse Point Load at Center can be measured.

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

​GoMaximum Deflection for Strut with Axial and Transverse Point Load at Center Formula

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

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

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

Other 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

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

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

Variable Name

GoMaximum Deflection for Strut with Axial and Transverse Point Load at Center Formula