Normal Shearing Stresses Calculator

✖Unit Shear Force is the force acting on the shell surface which cause slipping deformation but with a magnitude of unity.ⓘ Unit Shear Force [V]			+10% -10%
✖Shell thickness is the the distance through the shell.ⓘ Shell Thickness [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%

✖Normal Shearing Stress is the shearing stress produced by the normal shearing force.ⓘ Normal Shearing Stresses [v_xz]

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Formula

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Normal Shearing Stresses

Formula

`"v"_{"xz"} = ((6*"V")/"t"^(3))*((("t"^(2))/4)-("z"^2))`

Example

`"0.72MPa"=((6*"100kN")/("200mm")^(3))*(((("200mm")^(2))/4)-(("0.02m")^2))`

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

Normal Shearing Stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Shearing Stress = ((6*Unit Shear Force)/Shell Thickness^(3))*(((Shell Thickness^(2))/4)-(Distance from Middle Surface^2))
v_xz = ((6*V)/t^(3))*(((t^(2))/4)-(z^2))
This formula uses 4 Variables

Variables Used

Normal Shearing Stress - (Measured in Pascal) - Normal Shearing Stress is the shearing stress produced by the normal shearing force.
Unit Shear Force - (Measured in Newton) - Unit Shear Force is the force acting on the shell surface which cause slipping deformation but with a magnitude of unity.
Shell Thickness - (Measured in Meter) - Shell thickness is the the distance through the shell.
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

Unit Shear Force: 100 Kilonewton --> 100000 Newton (Check conversion here)
Shell Thickness: 200 Millimeter --> 0.2 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_xz = ((6*V)/t^(3))*(((t^(2))/4)-(z^2)) --> ((6*100000)/0.2^(3))*(((0.2^(2))/4)-(0.02^2))

Evaluating ... ...

v_xz = 720000

STEP 3: Convert Result to Output's Unit

720000 Pascal -->0.72 Megapascal (Check conversion here)

FINAL ANSWER

0.72 Megapascal <-- Normal Shearing Stress

(Calculation completed in 00.008 seconds)

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

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Coorg Institute of Technology (CIT), Coorg

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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))

Normal Shearing Stresses Formula

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

What is Normal Stress?

The Normal Stress is a result of load applied perpendicular to a member. Shear stress however results when a load is applied parallel to an area. If in case the shear force acting is normal to the surface, normal stress occurs.

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.

How to Calculate Normal Shearing Stresses?

Normal Shearing Stresses calculator uses Normal Shearing Stress = ((6*Unit Shear Force)/Shell Thickness^(3))*(((Shell Thickness^(2))/4)-(Distance from Middle Surface^2)) to calculate the Normal Shearing Stress, The Normal Shearing Stresses formula is defined as the shear stress provided by the shell against the shearing deformation caused due to shear forces (in normal direction). Normal Shearing Stress is denoted by v_xz symbol.

How to calculate Normal Shearing Stresses using this online calculator? To use this online calculator for Normal Shearing Stresses, enter Unit Shear Force (V), Shell Thickness (t) & Distance from Middle Surface (z) and hit the calculate button. Here is how the Normal Shearing Stresses calculation can be explained with given input values -> -29999250000 = ((6*100000)/0.2^(3))*(((0.2^(2))/4)-(0.02^2)).

FAQ

What is Normal Shearing Stresses?

The Normal Shearing Stresses formula is defined as the shear stress provided by the shell against the shearing deformation caused due to shear forces (in normal direction) and is represented as v_xz = ((6*V)/t^(3))*(((t^(2))/4)-(z^2)) or Normal Shearing Stress = ((6*Unit Shear Force)/Shell Thickness^(3))*(((Shell Thickness^(2))/4)-(Distance from Middle Surface^2)). Unit Shear Force is the force acting on the shell surface which cause slipping deformation but with a magnitude of unity, Shell thickness is the the distance through the shell & Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.

How to calculate Normal Shearing Stresses?

The Normal Shearing Stresses formula is defined as the shear stress provided by the shell against the shearing deformation caused due to shear forces (in normal direction) is calculated using Normal Shearing Stress = ((6*Unit Shear Force)/Shell Thickness^(3))*(((Shell Thickness^(2))/4)-(Distance from Middle Surface^2)). To calculate Normal Shearing Stresses, you need Unit Shear Force (V), Shell Thickness (t) & Distance from Middle Surface (z). With our tool, you need to enter the respective value for Unit Shear Force, Shell Thickness & 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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