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Stress due to Seismic Bending Moment Formula

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Stress due to Seismic Bending Moment is a measure of the internal force that resists deformation or failure of a material when an external force is applied to it. Check FAQs

f bendingmoment = \frac{4 \cdot M s}{π \cdot ({D sk}^{2}) \cdot t sk}

f_{bendingmoment} - Stress due to Seismic Bending Moment?M_s - Maximum Seismic Moment?D_sk - Mean Diameter of Skirt?t_sk - Thickness of Skirt?π - Archimedes' constant?

Stress due to Seismic Bending Moment Example

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Here is how the Stress due to Seismic Bending Moment equation looks like with Values.

Here is how the Stress due to Seismic Bending Moment equation looks like with Units.

Here is how the Stress due to Seismic Bending Moment equation looks like.

0.0131 = \frac{4 \cdot 4.4E+6}{3.1416 \cdot ({601.2}^{2}) \cdot 1.18}

0.0131N/mm² = \frac{4 \cdot 4.4E+6N*mm}{3.1416 \cdot ({601.2mm}^{2}) \cdot 1.18mm}

0.0131 = \frac{4 \cdot 4.4E+6}{3.1416 \cdot ({601.2}^{2}) \cdot 1.18}

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Stress due to Seismic Bending Moment Solution

Follow our step by step solution on how to calculate Stress due to Seismic Bending Moment?

FIRST Step Consider the formula

f bendingmoment = \frac{4 \cdot M s}{π \cdot ({D sk}^{2}) \cdot t sk}

Next Step Substitute values of Variables

∴

f bendingmoment = \frac{4 \cdot 4.4E+6N*mm}{π \cdot ({601.2mm}^{2}) \cdot 1.18mm}

Next Step Substitute values of Constants

∴

f bendingmoment = \frac{4 \cdot 4.4E+6N*mm}{3.1416 \cdot ({601.2mm}^{2}) \cdot 1.18mm}

Next Step Convert Units

∴

f bendingmoment = \frac{4 \cdot 4400N*m}{3.1416 \cdot ({601.2mm}^{2}) \cdot 1.18mm}

Next Step Prepare to Evaluate

∴

f bendingmoment = \frac{4 \cdot 4400}{3.1416 \cdot ({601.2}^{2}) \cdot 1.18}

Next Step Evaluate

∴

f bendingmoment = 13135.3861324631Pa

Next Step Convert to Output's Unit

∴

f bendingmoment = 0.0131353861324631N/mm²

LAST Step Rounding Answer

∴

f bendingmoment = 0.0131N/mm²

Stress due to Seismic Bending Moment Formula Elements

Variables

Constants

Stress due to Seismic Bending Moment

Stress due to Seismic Bending Moment is a measure of the internal force that resists deformation or failure of a material when an external force is applied to it.

Symbol: f_{bendingmoment}

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress due to Seismic Bending Moment

Maximum Seismic Moment

Maximum Seismic Moment is the reaction induced in a vessel when an external force or moment is applied to the element causing the element to bend.

Symbol: M_s

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Seismic Moment

Mean Diameter of Skirt

Mean Diameter of Skirt in a vessel will depend on the size and design of the vessel.

Symbol: D_sk

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Skirt

Thickness of Skirt

Thickness of Skirt is typically determined by calculating the maximum stress that the skirt is likely to experience and their must be sufficient to resist the weight of the vessel.

Symbol: t_sk

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Thickness of Skirt

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Saddle Support category

Go Combined Stresses at Mid Span

f cs3 = f cs1 + f 3

Go Bending Moment at Support

M 1 = Q \cdot A \cdot ((1) - (\frac{1 - (\frac{A}{L}) + (\frac{{(R vessel)}^{2} - {(Depth Head)}^{2}}{2 \cdot A \cdot L})}{1 + (\frac{4}{3}) \cdot (\frac{Depth Head}{L})}))

Go Combined Stresses at Bottommost Fibre of Cross Section

f cs2 = f cs1 - f 2

Go Combined Stresses at Topmost Fibre of Cross Section

f 1cs = f cs1 + f 1

How to Evaluate Stress due to Seismic Bending Moment?

Stress due to Seismic Bending Moment evaluator uses Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt) to evaluate the Stress due to Seismic Bending Moment, Stress due to Seismic Bending Moment is formed when seismic waves travel through a vessel and if the stresses are not relieved, the vessel may sustain structural damage or even disintegrate. Stress due to Seismic Bending Moment is denoted by f_{bendingmoment} symbol.

How to evaluate Stress due to Seismic Bending Moment using this online evaluator? To use this online evaluator for Stress due to Seismic Bending Moment, enter Maximum Seismic Moment (M_s), Mean Diameter of Skirt (D_sk) & Thickness of Skirt (t_sk) and hit the calculate button.

FAQs on Stress due to Seismic Bending Moment

What is the formula to find Stress due to Seismic Bending Moment?

The formula of Stress due to Seismic Bending Moment is expressed as Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt). Here is an example- 1.3E-8 = (4*4400)/(pi*(0.6012^(2))*0.00118).

How to calculate Stress due to Seismic Bending Moment?

With Maximum Seismic Moment (M_s), Mean Diameter of Skirt (D_sk) & Thickness of Skirt (t_sk) we can find Stress due to Seismic Bending Moment using the formula - Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt). This formula also uses Archimedes' constant .

Can the Stress due to Seismic Bending Moment be negative?

No, the Stress due to Seismic Bending Moment, measured in Stress cannot be negative.

Which unit is used to measure Stress due to Seismic Bending Moment?

Stress due to Seismic Bending Moment is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Stress due to Seismic Bending Moment can be measured.

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Stress due to Seismic Bending Moment Formula

Stress due to Seismic Bending Moment Example

Stress due to Seismic Bending Moment Solution

Stress due to Seismic Bending Moment Formula Elements

Other formulas in Saddle Support category

How to Evaluate Stress due to Seismic Bending Moment?

FAQs on Stress due to Seismic Bending Moment

Variable Name