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

GoBending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center Formula

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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. Check FAQs

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

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

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

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

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

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

-6.55 = - (0.4 \cdot 12) - (0.1 \cdot \frac{35}{2})

-6.55N*m = - (0.4kN \cdot 12mm) - (0.1kN \cdot \frac{35mm}{2})

-6.55 = - (0.4 \cdot 12) - (0.1 \cdot \frac{35}{2})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M b = - (0.4kN \cdot 12mm) - (0.1kN \cdot \frac{35mm}{2})

Next Step Convert Units

∴

M b = - (400N \cdot 0.012m) - (100N \cdot \frac{0.035m}{2})

Next Step Prepare to Evaluate

∴

M b = - (400 \cdot 0.012) - (100 \cdot \frac{0.035}{2})

LAST Step Evaluate

∴

M b = -6.55N*m

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

Variables

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

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 Bending Moment in Column

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

M b = σ b \cdot \frac{A sectional \cdot (k^{2})}{c}

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

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}

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

Bending Moment at Section for Strut with Axial and Transverse Point Load at Center evaluator uses Bending Moment in Column = -(Column Compressive Load*Deflection at Column Section)-(Greatest Safe Load*Distance of Deflection from end A/2) to evaluate the Bending Moment in Column, The Bending Moment at Section for Strut with Axial and Transverse Point Load at Center formula is defined as the measure of the turning effect of a force around a pivot point, specifically for a strut subjected to compressive axial thrust and a transverse point load at the center, which is crucial in structural analysis and design. Bending Moment in Column is denoted by M_b symbol.

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

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

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

The formula of Bending Moment at Section for Strut with Axial and Transverse Point Load at Center is expressed as Bending Moment in Column = -(Column Compressive Load*Deflection at Column Section)-(Greatest Safe Load*Distance of Deflection from end A/2). Here is an example- -6.55 = -(400*0.012)-(100*0.035/2).

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

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

What are the other ways to Calculate Bending Moment in Column?

Here are the different ways to Calculate Bending Moment in Column-

Bending Moment in Column=Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point)

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

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

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

Bending Moment at Section for Strut with Axial and Transverse Point Load at Center is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Bending Moment at Section for Strut with Axial and Transverse Point Load at Center can be measured.

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

​GoBending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center Formula

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

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

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

Other Formulas to find Bending Moment in Column

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

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

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

Variable Name

GoBending Moment given Bending Stress for Strut with Axial and Transverse Point Load at Center Formula