Distance of deflection from end A for strut with axial and transverse point load at center Calculator

✖Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment in Column [M_b]			+10% -10%
✖Column Compressive load is the load applied to a column that is compressive in nature.ⓘ Column Compressive load [P_compressive]			+10% -10%
✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at Section [δ]			+10% -10%
✖Greatest Safe Load is the maximum safe point load allowable at the center of the beam.ⓘ Greatest Safe Load [Wp]			+10% -10%

✖Distance of deflection from end A is the distance x of deflection from end A.ⓘ Distance of deflection from end A for strut with axial and transverse point load at center [x]

⎘ Copy

👎

Formula

✖

Distance of deflection from end A for strut with axial and transverse point load at center

Formula

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

Example

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

Calculator

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

Distance of deflection from end A for strut with axial and transverse point load at center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load)
x = (-M_b-(P_compressive*δ))*2/(Wp)
This formula uses 5 Variables

Variables Used

Distance of deflection from end A - (Measured in Meter) - Distance of deflection from end A is the distance x of deflection from end A.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Column Compressive load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
Greatest Safe Load - (Measured in Newton) - Greatest Safe Load is the maximum safe point load allowable at the center of the beam.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Column Compressive load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion here)
Greatest Safe Load: 0.1 Kilonewton --> 100 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = (-M_b-(P_compressive*δ))*2/(Wp) --> (-48-(400*0.012))*2/(100)

Evaluating ... ...

x = -1.056

STEP 3: Convert Result to Output's Unit

-1.056 Meter -->-1056 Millimeter (Check conversion here)

FINAL ANSWER

-1056 Millimeter <-- Distance of deflection from end A

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre » Distance of deflection from end A for strut with axial and transverse point load at center

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre Calculators

Deflection at section for strut with axial and transverse point load at center

Go Deflection at Section = Column Compressive load-(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Column Compressive load)

Compressive axial load for strut with axial and transverse point load at center

Go Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section)

Transverse point load for strut with axial and transverse point load at center

Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Distance of deflection from end A)

Bending moment at section for strut with axial and transverse point load at center

Go Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2)

Distance of deflection from end A for strut with axial and transverse point load at center Formula

Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load)
x = (-M_b-(P_compressive*δ))*2/(Wp)

What is transverse point loading?

Transverse loading is a load applied vertically to the plane of the longitudinal axis of a configuration, such as a wind load. It causes the material to bend and rebound from its original position, with inner tensile and compressive straining associated with the change in curvature of the material.

How to Calculate 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 calculator uses Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load) to calculate 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 distance of deflection point on a section of the column from pinned end A. Distance of deflection from end A is denoted by x symbol.

How to calculate Distance of deflection from end A for strut with axial and transverse point load at center using this online calculator? To use this online calculator 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 Section (δ) & Greatest Safe Load (Wp) and hit the calculate button. Here is how the Distance of deflection from end A for strut with axial and transverse point load at center calculation can be explained with given input values -> -1056000 = (-48-(400*0.012))*2/(100).

FAQ

What is Distance of deflection from end A for strut with axial and transverse point load at center?

The Distance of deflection from end A for strut with axial and transverse point load at center formula is defined as the distance of deflection point on a section of the column from pinned end A and is represented as x = (-M_b-(P_compressive*δ))*2/(Wp) or Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load). Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Column Compressive load is the load applied to a column that is compressive in nature, Deflection at Section is the lateral displacement at the section of the column & Greatest Safe Load is the maximum safe point load allowable at the center of the beam.

How to calculate Distance of deflection from end A for strut with axial and transverse point load at center?

The Distance of deflection from end A for strut with axial and transverse point load at center formula is defined as the distance of deflection point on a section of the column from pinned end A is calculated using Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load). To calculate Distance of deflection from end A for strut with axial and transverse point load at center, you need Bending Moment in Column (M_b), Column Compressive load (P_compressive), Deflection at Section (δ) & Greatest Safe Load (Wp). With our tool, you need to enter the respective value for Bending Moment in Column, Column Compressive load, Deflection at Section & Greatest Safe Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search