Twisting Moments given Shearing Stress Calculator

✖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 Stress on Shells [v_xy]			+10% -10%
✖Shell thickness is the the distance through the shell.ⓘ Shell Thickness [t]			+10% -10%
✖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%
✖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%

✖The Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.ⓘ Twisting Moments given Shearing Stress [D]

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Formula

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Twisting Moments given Shearing Stress

Formula

`"D" = ((("v"_{"xy"}*"t")-"T")*"t"^2)/(12*"z")`

Example

`"110kN*m"=((("3.55MPa"*"200mm")-"50kN/m")*("200mm")^2)/(12*"0.02m")`

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Twisting Moments given Shearing Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface)
D = (((v_xy*t)-T)*t^2)/(12*z)
This formula uses 5 Variables

Variables Used

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.
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.
Shell Thickness - (Measured in Meter) - Shell thickness is the the distance through the shell.
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.
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

Shearing Stress on Shells: 3.55 Megapascal --> 3550000 Pascal (Check conversion here)
Shell Thickness: 200 Millimeter --> 0.2 Meter (Check conversion here)
Central Shear: 50 Kilonewton per Meter --> 50000 Newton per 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

D = (((v_xy*t)-T)*t^2)/(12*z) --> (((3550000*0.2)-50000)*0.2^2)/(12*0.02)

Evaluating ... ...

D = 110000

STEP 3: Convert Result to Output's Unit

110000 Newton Meter -->110 Kilonewton Meter (Check conversion here)

FINAL ANSWER

110 Kilonewton Meter <-- Twisting Moments on Shells

(Calculation completed in 00.004 seconds)

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< 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))

Twisting Moments given Shearing Stress Formula

Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface)
D = (((v_xy*t)-T)*t^2)/(12*z)

What is Twisting and Torsion?

The twisting moment is also called a torsional moment or torque. When we twist the end of the bar either clockwise or counterclockwise then a bending moment will form. one end twists relative to the other end and each element in a cross-section is in a state of shear. The shearing stresses thereby induced in the shaft produce a moment of resistance, equal and opposite to the applied torque.
The twisting or wrenching of a body by the exertion of forces tending to turn one end or part about a longitudinal axis while the other is held fast or turned in the opposite direction. In the case of a Torque, the force is tangential, and the distance is the radial distance between this tangent and the axis of rotation.

What is Shell Theory?

The shell theories are based on the assumption that the strains in the shell are small enough to be discarded in comparison with unity. It is also assumed that the shell is thin enough that quantities, such as the thickness/radius ratio may be discarded in comparison with unity. The theorem says that, a spherically symmetric body affects external objects gravitationally as though all of its mass were concentrated at a point at its centre.

How to Calculate Twisting Moments given Shearing Stress?

Twisting Moments given Shearing Stress calculator uses Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface) to calculate the Twisting Moments on Shells, The Twisting Moments given Shearing Stress formula is defined as the torque applied on the shell which causes the structure to get twisted. Twisting Moments on Shells is denoted by D symbol.

How to calculate Twisting Moments given Shearing Stress using this online calculator? To use this online calculator for Twisting Moments given Shearing Stress, enter Shearing Stress on Shells (v_xy), Shell Thickness (t), Central Shear (T) & Distance from Middle Surface (z) and hit the calculate button. Here is how the Twisting Moments given Shearing Stress calculation can be explained with given input values -> 0.00011 = (((3550000*0.2)-50000)*0.2^2)/(12*0.02).

FAQ

What is Twisting Moments given Shearing Stress?

The Twisting Moments given Shearing Stress formula is defined as the torque applied on the shell which causes the structure to get twisted and is represented as D = (((v_xy*t)-T)*t^2)/(12*z) or Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface). 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, Shell thickness is the the distance through the shell, Central Shear is the shear force acting on the surface of thin shells. Generally, they are assumed to be uniformly distributed over the surface & Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.

How to calculate Twisting Moments given Shearing Stress?

The Twisting Moments given Shearing Stress formula is defined as the torque applied on the shell which causes the structure to get twisted is calculated using Twisting Moments on Shells = (((Shearing Stress on Shells*Shell Thickness)-Central Shear)*Shell Thickness^2)/(12*Distance from Middle Surface). To calculate Twisting Moments given Shearing Stress, you need Shearing Stress on Shells (v_xy), Shell Thickness (t), Central Shear (T) & Distance from Middle Surface (z). With our tool, you need to enter the respective value for Shearing Stress on Shells, Shell Thickness, Central Shear & 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.

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