Shearing Stresses on Shells Calculator

✖Central Shear is the shear force acting on the surface of thin shells. Generally, they are assumed to be uniformly distributed over the surface.ⓘ Central Shear [T]			+10% -10%
✖Shell thickness is the the distance through the shell.ⓘ Shell Thickness [t]			+10% -10%
✖The Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.ⓘ Twisting Moments on Shells [D]			+10% -10%
✖Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.ⓘ Distance from Middle Surface [z]			+10% -10%

✖Shearing Stress on Shells is the force tending to cause deformation of shell surface by slippage along the plane or planes parallel to the imposed stress.ⓘ Shearing Stresses on Shells [v_xy]

⎘ Copy

👎

Formula

✖

Shearing Stresses on Shells

Formula

`"v"_{"xy"} = (("T"/"t")+(("D"*"z"*12)/"t"^3))`

Example

`"3.55MPa"=(("50kN/m"/"200mm")+(("110kN*m"*"0.02m"*12)/("200mm")^3))`

Calculator

LaTeX

Reset

👍

Download Bearing, Stresses, Plate Girders & Ponding Considerations Formulas PDF

Shearing Stresses on Shells Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))
v_xy = ((T/t)+((D*z*12)/t^3))
This formula uses 5 Variables

Variables Used

Shearing Stress on Shells - (Measured in Pascal) - Shearing Stress on Shells is the force tending to cause deformation of shell surface by slippage along the plane or planes parallel to the imposed stress.
Central Shear - (Measured in Newton per Meter) - Central Shear is the shear force acting on the surface of thin shells. Generally, they are assumed to be uniformly distributed over the surface.
Shell Thickness - (Measured in Meter) - Shell thickness is the the distance through the shell.
Twisting Moments on Shells - (Measured in Newton Meter) - The Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.
Distance from Middle Surface - (Measured in Meter) - Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.

STEP 1: Convert Input(s) to Base Unit

Central Shear: 50 Kilonewton per Meter --> 50000 Newton per Meter (Check conversion here)
Shell Thickness: 200 Millimeter --> 0.2 Meter (Check conversion here)
Twisting Moments on Shells: 110 Kilonewton Meter --> 110000 Newton Meter (Check conversion here)
Distance from Middle Surface: 0.02 Meter --> 0.02 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_xy = ((T/t)+((D*z*12)/t^3)) --> ((50000/0.2)+((110000*0.02*12)/0.2^3))

Evaluating ... ...

v_xy = 3550000

STEP 3: Convert Result to Output's Unit

3550000 Pascal -->3.55 Megapascal (Check conversion here)

FINAL ANSWER

3.55 Megapascal <-- Shearing Stress on Shells

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Design of Steel Structures » Bearing, Stresses, Plate Girders & Ponding Considerations » Stresses in Thin Shells » Shearing Stresses on Shells

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 7 Stresses in Thin Shells Calculators

Distance from Middle Surface given Normal Stress in Thin Shells

Go Distance from Middle Surface = (Shell Thickness^(2)/(12*Unit Bending Moment))*((Normal Stress on Thin Shells*Shell Thickness)-(Unit Normal Force))

Normal Stress in Thin Shells

Go Normal Stress on Thin Shells = (Unit Normal Force/Shell Thickness)+((Unit Bending Moment*Distance from Middle Surface)/(Shell Thickness^(3)/12))

Twisting Moments given Shearing Stress

Go Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface)

Shearing Stresses on Shells

Go Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))

Central Shear given Shearing Stress

Go Central Shear = (Shearing Stress on Shells-((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))*Shell Thickness

Distance from Middle Surface given Normal Shearing Stress

Go Distance from Middle Surface = sqrt((Shell Thickness^(2)/4)-((Normal Shearing Stress*Shell Thickness^3)/(6*Unit Shear Force)))

Normal Shearing Stresses

Go Normal Shearing Stress = ((6*Unit Shear Force)/Shell Thickness^(3))*(((Shell Thickness^(2))/4)-(Distance from Middle Surface^2))

Shearing Stresses on Shells Formula

Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))
v_xy = ((T/t)+((D*z*12)/t^3))

What is the difference between Bending Moment and Twisting Moment?

The Bending Moment is the force that is trying to bend your structure and it is calculated as force multiplied by perpendicular distance. Twisting moment is the the torque applied which produces shear stress in your structure.

What are the forces acting on Shells?

The internal forces and moments exist at every point on the middle surface of the shell element. They represent the resultants of different normal and shear stresses over the element thickness. The internal forces have the units of force per unit length and the internal moments have the units of moment per unit length.

How to Calculate Shearing Stresses on Shells?

Shearing Stresses on Shells calculator uses Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3)) to calculate the Shearing Stress on Shells, The Shearing Stresses on Shells formula as the shear force acting on the shell surface which produces a slipping deformation in the surface. Shearing Stress on Shells is denoted by v_xy symbol.

How to calculate Shearing Stresses on Shells using this online calculator? To use this online calculator for Shearing Stresses on Shells, enter Central Shear (T), Shell Thickness (t), Twisting Moments on Shells (D) & Distance from Middle Surface (z) and hit the calculate button. Here is how the Shearing Stresses on Shells calculation can be explained with given input values -> 0.0033 = ((50000/0.2)+((110000*0.02*12)/0.2^3)).

FAQ

What is Shearing Stresses on Shells?

The Shearing Stresses on Shells formula as the shear force acting on the shell surface which produces a slipping deformation in the surface and is represented as v_xy = ((T/t)+((D*z*12)/t^3)) or Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3)). Central Shear is the shear force acting on the surface of thin shells. Generally, they are assumed to be uniformly distributed over the surface, Shell thickness is the the distance through the shell, The Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted & Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.

How to calculate Shearing Stresses on Shells?

The Shearing Stresses on Shells formula as the shear force acting on the shell surface which produces a slipping deformation in the surface is calculated using Shearing Stress on Shells = ((Central Shear/Shell Thickness)+((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3)). To calculate Shearing Stresses on Shells, you need Central Shear (T), Shell Thickness (t), Twisting Moments on Shells (D) & Distance from Middle Surface (z). With our tool, you need to enter the respective value for Central Shear, Shell Thickness, Twisting Moments on Shells & Distance from Middle Surface 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