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Distance from Middle Surface given Normal Stress in Thin Shells Formula

GoDistance from Middle Surface given Normal Shearing Stress Formula

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Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness. Check FAQs

z = (\frac{t^{2}}{12 \cdot M x}) \cdot ((f x \cdot t) - (N x))

z - Distance from Middle Surface?t - Shell Thickness?M_x - Unit Bending Moment?f_x - Normal Stress on Thin Shells?N_x - Unit Normal Force?

Distance from Middle Surface given Normal Stress in Thin Shells Example

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Here is how the Distance from Middle Surface given Normal Stress in Thin Shells equation looks like with Values.

Here is how the Distance from Middle Surface given Normal Stress in Thin Shells equation looks like with Units.

Here is how the Distance from Middle Surface given Normal Stress in Thin Shells equation looks like.

0.02 = (\frac{200^{2}}{12 \cdot 90}) \cdot ((2.7 \cdot 200) - (15))

0.02m = (\frac{{200mm}^{2}}{12 \cdot 90kN*m}) \cdot ((2.7MPa \cdot 200mm) - (15N))

0.02 = (\frac{200^{2}}{12 \cdot 90}) \cdot ((2.7 \cdot 200) - (15))

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Distance from Middle Surface given Normal Stress in Thin Shells Solution

Follow our step by step solution on how to calculate Distance from Middle Surface given Normal Stress in Thin Shells?

FIRST Step Consider the formula

z = (\frac{t^{2}}{12 \cdot M x}) \cdot ((f x \cdot t) - (N x))

Next Step Substitute values of Variables

∴

z = (\frac{{200mm}^{2}}{12 \cdot 90kN*m}) \cdot ((2.7MPa \cdot 200mm) - (15N))

Next Step Convert Units

∴

z = (\frac{{0.2m}^{2}}{12 \cdot 90000N*m}) \cdot ((2.7E+6Pa \cdot 0.2m) - (15N))

Next Step Prepare to Evaluate

∴

z = (\frac{{0.2}^{2}}{12 \cdot 90000}) \cdot ((2.7E+6 \cdot 0.2) - (15))

Next Step Evaluate

∴

z = 0.0199994444444444m

LAST Step Rounding Answer

∴

z = 0.02m

Distance from Middle Surface given Normal Stress in Thin Shells Formula Elements

Variables

Distance from Middle Surface

Distance from Middle Surface is the half distance from middle surface to extreme surface, say half the thickness.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Middle Surface

Shell Thickness

Shell thickness is the the distance through the shell.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness

Unit Bending Moment

Unit Bending Moment is the external force or moment acting on a member which allows the member to bend whose magnitude is unity.

Symbol: M_x

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Unit Bending Moment

Normal Stress on Thin Shells

Normal Stress on Thin Shells is the stress caused on the thin shell due to the normal force (axial load) on the surface.

Symbol: f_x

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Normal Stress on Thin Shells

Unit Normal Force

Unit Normal Force is the force acting perpendicular to the surface in contact with each other whose magnitude is unity.

Symbol: N_x

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Unit Normal Force

Other Formulas to find Distance from Middle Surface

Go Distance from Middle Surface given Normal Shearing Stress

z = \sqrt{(\frac{t^{2}}{4}) - (\frac{v xz \cdot t^{3}}{6 \cdot V})}

Other formulas in Stresses in Thin Shells category

Go Normal Stress in Thin Shells

f x = (\frac{N x}{t}) + (\frac{M x \cdot z}{\frac{t^{3}}{12}})

Go Shearing Stresses on Shells

v xy = ((\frac{T}{t}) + (\frac{D \cdot z \cdot 12}{t^{3}}))

Go Central Shear given Shearing Stress

T = (v xy - (\frac{D \cdot z \cdot 12}{t^{3}})) \cdot t

Go Twisting Moments given Shearing Stress

D = \frac{((v xy \cdot t) - T) \cdot t^{2}}{12 \cdot z}

How to Evaluate Distance from Middle Surface given Normal Stress in Thin Shells?

Distance from Middle Surface given Normal Stress in Thin Shells evaluator uses Distance from Middle Surface = (Shell Thickness^(2)/(12*Unit Bending Moment))*((Normal Stress on Thin Shells*Shell Thickness)-(Unit Normal Force)) to evaluate the Distance from Middle Surface, The Distance from Middle Surface given Normal Stress in Thin Shells formula is defined as the relation between the unit normal force and stress and the bending moment on the shell surface. Distance from Middle Surface is denoted by z symbol.

How to evaluate Distance from Middle Surface given Normal Stress in Thin Shells using this online evaluator? To use this online evaluator for Distance from Middle Surface given Normal Stress in Thin Shells, enter Shell Thickness (t), Unit Bending Moment (M_x), Normal Stress on Thin Shells (f_x) & Unit Normal Force (N_x) and hit the calculate button.

FAQs on Distance from Middle Surface given Normal Stress in Thin Shells

What is the formula to find Distance from Middle Surface given Normal Stress in Thin Shells?

The formula of Distance from Middle Surface given Normal Stress in Thin Shells is expressed as Distance from Middle Surface = (Shell Thickness^(2)/(12*Unit Bending Moment))*((Normal Stress on Thin Shells*Shell Thickness)-(Unit Normal Force)). Here is an example- 0.019999 = (0.2^(2)/(12*90000))*((2700000*0.2)-(15)).

How to calculate Distance from Middle Surface given Normal Stress in Thin Shells?

With Shell Thickness (t), Unit Bending Moment (M_x), Normal Stress on Thin Shells (f_x) & Unit Normal Force (N_x) we can find Distance from Middle Surface given Normal Stress in Thin Shells using the formula - Distance from Middle Surface = (Shell Thickness^(2)/(12*Unit Bending Moment))*((Normal Stress on Thin Shells*Shell Thickness)-(Unit Normal Force)).

What are the other ways to Calculate Distance from Middle Surface?

Here are the different ways to Calculate Distance from Middle Surface-

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

Can the Distance from Middle Surface given Normal Stress in Thin Shells be negative?

No, the Distance from Middle Surface given Normal Stress in Thin Shells, measured in Length cannot be negative.

Which unit is used to measure Distance from Middle Surface given Normal Stress in Thin Shells?

Distance from Middle Surface given Normal Stress in Thin Shells is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance from Middle Surface given Normal Stress in Thin Shells can be measured.

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Distance from Middle Surface given Normal Stress in Thin Shells Formula

​GoDistance from Middle Surface given Normal Shearing Stress Formula

Distance from Middle Surface given Normal Stress in Thin Shells Example

Distance from Middle Surface given Normal Stress in Thin Shells Solution

Distance from Middle Surface given Normal Stress in Thin Shells Formula Elements

Other Formulas to find Distance from Middle Surface

Other formulas in Stresses in Thin Shells category

How to Evaluate Distance from Middle Surface given Normal Stress in Thin Shells?

FAQs on Distance from Middle Surface given Normal Stress in Thin Shells

Variable Name

GoDistance from Middle Surface given Normal Shearing Stress Formula