Central Shear 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%
✖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%
✖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 given Shearing Stress [T]

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Central Shear given Shearing Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Shearing Stress on Shells: 3.55 Megapascal --> 3550000 Pascal (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
Shell Thickness: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (v_xy-((D*z*12)/t^3))*t --> (3550000-((110000*0.02*12)/0.2^3))*0.2

Evaluating ... ...

T = 50000.0000000002

STEP 3: Convert Result to Output's Unit

50000.0000000002 Newton per Meter -->50.0000000000002 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

50.0000000000002 ≈ 50 Kilonewton per Meter <-- Central Shear

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Stresses in Thin Shells Calculators

Distance from Middle Surface given Normal Stress in Thin Shells

LaTeX 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

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

Shearing Stresses on Shells

LaTeX 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

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

Central Shear given Shearing Stress Formula

LaTeX Go

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

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 Central Shear given Shearing Stress?

Central Shear given Shearing Stress calculator uses Central Shear = (Shearing Stress on Shells-((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))*Shell Thickness to calculate the Central Shear, The Central Shear given Shearing Stress formula is defined as the connecting relationship between the variables, distance from the middle surface, twisting moments, shell thickness and shearing stress. Central Shear is denoted by T symbol.

How to calculate Central Shear given Shearing Stress using this online calculator? To use this online calculator for Central Shear given Shearing Stress, enter Shearing Stress on Shells (v_xy), Twisting Moments on Shells (D), Distance from Middle Surface (z) & Shell Thickness (t) and hit the calculate button. Here is how the Central Shear given Shearing Stress calculation can be explained with given input values -> 0.70934 = (3550000-((110000*0.02*12)/0.2^3))*0.2.

FAQ

What is Central Shear given Shearing Stress?

The Central Shear given Shearing Stress formula is defined as the connecting relationship between the variables, distance from the middle surface, twisting moments, shell thickness and shearing stress and is represented as T = (v_xy-((D*z*12)/t^3))*t or Central Shear = (Shearing Stress on Shells-((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))*Shell Thickness. 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, 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 & Shell thickness is the the distance through the shell.

How to calculate Central Shear given Shearing Stress?

The Central Shear given Shearing Stress formula is defined as the connecting relationship between the variables, distance from the middle surface, twisting moments, shell thickness and shearing stress is calculated using Central Shear = (Shearing Stress on Shells-((Twisting Moments on Shells*Distance from Middle Surface*12)/Shell Thickness^3))*Shell Thickness. To calculate Central Shear given Shearing Stress, you need Shearing Stress on Shells (v_xy), Twisting Moments on Shells (D), Distance from Middle Surface (z) & Shell Thickness (t). With our tool, you need to enter the respective value for Shearing Stress on Shells, Twisting Moments on Shells, Distance from Middle Surface & Shell Thickness 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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