FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoTransverse Point Load given Maximum Deflection for Strut Formula

GoTransverse Point Load given Maximum Bending Moment for Strut Formula

Fx Copy

LaTeX Copy

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

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

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

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

With values

With units

Only example

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

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

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

-3.0171 = (- 48 - (0.4 \cdot 12)) \cdot \frac{2}{35}

-3.0171kN = (- 48N*m - (0.4kN \cdot 12mm)) \cdot \frac{2}{35mm}

-3.0171 = (- 48 - (0.4 \cdot 12)) \cdot \frac{2}{35}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Transverse Point Load for Strut with Axial and Transverse Point Load at Center

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W p = (- 48N*m - (0.4kN \cdot 12mm)) \cdot \frac{2}{35mm}

Next Step Convert Units

∴

W p = (- 48N*m - (400N \cdot 0.012m)) \cdot \frac{2}{0.035m}

Next Step Prepare to Evaluate

∴

W p = (- 48 - (400 \cdot 0.012)) \cdot \frac{2}{0.035}

Next Step Evaluate

∴

W p = -3017.14285714286N

Next Step Convert to Output's Unit

∴

W p = -3.01714285714286kN

LAST Step Rounding Answer

∴

W p = -3.0171kN

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

Variables

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

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

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 Greatest Safe Load

Go Transverse Point Load given Maximum Deflection for Strut

W p = \frac{δ}{((\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})}

Go Transverse Point Load given Maximum Bending Moment for Strut

W p = \frac{M max}{(\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}}}))}

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

Transverse Point Load for Strut with Axial and Transverse Point Load at Center evaluator uses Greatest Safe Load = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Distance of Deflection from end A) to evaluate the Greatest Safe Load, The Transverse Point 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. Greatest Safe Load is denoted by W_p symbol.

How to evaluate Transverse Point Load for Strut with Axial and Transverse Point Load at Center using this online evaluator? To use this online evaluator for Transverse Point Load 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) & Distance of Deflection from end A (x) and hit the calculate button.

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

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

The formula of Transverse Point Load for Strut with Axial and Transverse Point Load at Center is expressed as Greatest Safe Load = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Distance of Deflection from end A). Here is an example- -0.003017 = (-48-(400*0.012))*2/(0.035).

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

What are the other ways to Calculate Greatest Safe Load?

Here are the different ways to Calculate Greatest Safe Load-

Greatest Safe Load=Deflection at Column Section/((((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)))
Greatest Safe Load=Maximum Bending Moment In Column/(((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)))))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoTransverse Point Load given Maximum Deflection for Strut Formula

​GoTransverse Point Load given Maximum Bending Moment for Strut Formula

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

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

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

Other Formulas to find Greatest Safe Load

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

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

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

Variable Name

GoTransverse Point Load given Maximum Deflection for Strut Formula

GoTransverse Point Load given Maximum Bending Moment for Strut Formula