Stress due to Seismic Bending Moment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt)
fbendingmoment = (4*Ms)/(pi*(Dsk^(2))*tsk)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Stress due to Seismic Bending Moment - (Measured in Newton per Square Millimeter) - 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.
Maximum Seismic Moment - (Measured in Newton Meter) - 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.
Mean Diameter of Skirt - (Measured in Millimeter) - Mean Diameter of Skirt in a vessel will depend on the size and design of the vessel.
Thickness of Skirt - (Measured in Millimeter) - 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.
STEP 1: Convert Input(s) to Base Unit
Maximum Seismic Moment: 4400000 Newton Millimeter --> 4400 Newton Meter (Check conversion here)
Mean Diameter of Skirt: 601.2 Millimeter --> 601.2 Millimeter No Conversion Required
Thickness of Skirt: 1.18 Millimeter --> 1.18 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fbendingmoment = (4*Ms)/(pi*(Dsk^(2))*tsk) --> (4*4400)/(pi*(601.2^(2))*1.18)
Evaluating ... ...
fbendingmoment = 0.0131353861324631
STEP 3: Convert Result to Output's Unit
13135.3861324631 Pascal -->0.0131353861324631 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
0.0131353861324631 0.013135 Newton per Square Millimeter <-- Stress due to Seismic Bending Moment
(Calculation completed in 00.004 seconds)

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12 Saddle Support Calculators

Bending Moment at Support
Go Bending Moment at Support = Total Load per Saddle*Distance from Tangent Line to Saddle Centre*((1)-((1-(Distance from Tangent Line to Saddle Centre/Tangent to Tangent Length of Vessel)+(((Vessel Radius)^(2)-(Depth of Head)^(2))/(2*Distance from Tangent Line to Saddle Centre*Tangent to Tangent Length of Vessel)))/(1+(4/3)*(Depth of Head/Tangent to Tangent Length of Vessel))))
Bending Moment at Centre of Vessel Span
Go Bending Moment at Centre of Vessel Span = (Total Load per Saddle*Tangent to Tangent Length of Vessel)/(4)*(((1+2*(((Vessel Radius)^(2)-(Depth of Head)^(2))/(Tangent to Tangent Length of Vessel^(2))))/(1+(4/3)*(Depth of Head/Tangent to Tangent Length of Vessel)))-(4*Distance from Tangent Line to Saddle Centre)/Tangent to Tangent Length of Vessel)
Period of Vibration at Dead Weight
Go Period of Vibration at Dead Weight = 6.35*10^(-5)*(Overall Height of Vessel/Diameter of Shell Vessel Support)^(3/2)*(Weight of Vessel with Attachments and Contents/Corroded Vessel Wall Thickness)^(1/2)
Stress due to Longitudinal Bending at Top most Fibre of Cross Section
Go Stress Bending Moment at Topmost of Cross Section = Bending Moment at Support/(Value of k1 depending on Saddle Angle*pi*(Shell Radius)^(2)*Shell Thickness)
Stress due to Longitudinal Bending at Bottom most Fibre of Cross Section
Go Stress at Bottom most Fibre of Cross Section = Bending Moment at Support/(Value of k2 depending on Saddle Angle*pi*(Shell Radius)^(2)*Shell Thickness)
Stress due to Longitudinal Bending at Mid-Span
Go Stress due to Longitudinal Bending at Mid-Span = Bending Moment at Centre of Vessel Span/(pi*(Shell Radius)^(2)*Shell Thickness)
Stress due to Seismic Bending Moment
Go Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt)
Combined Stresses at Topmost Fibre of Cross Section
Go Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section
Combined Stresses at Bottommost Fibre of Cross Section
Go Combined Stresses Bottommost Fibre Cross Section = Stress due to Internal Pressure-Stress at Bottom most Fibre of Cross Section
Combined Stresses at Mid Span
Go Combined Stresses at Mid Span = Stress due to Internal Pressure+Stress due to Longitudinal Bending at Mid-Span
Stability Coefficient of Vessel
Go Stability Coefficient of Vessel = (Bending Moment due to Minimum Weight of Vessel)/Maximum Wind Moment
Corresponding Bending Stress with Section Modulus
Go Axial Bending Stress at Base of Vessel = Maximum Wind Moment/Section Modulus of Skirt Cross Section

Stress due to Seismic Bending Moment Formula

Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt)
fbendingmoment = (4*Ms)/(pi*(Dsk^(2))*tsk)

What is Design Load?

Design load is the total load that a structure, component or system must be designed to bear. This load is used as the basis for designing a structure and is typically based on the maximum anticipated load that the structure will be subjected to during its life. It is often used to determine the size and strength of the components that make up a structure. Design load can include environmental loads such as wind, snow, ice and seismic activity, as well as operational loads such as traffic and equipment.

How to Calculate Stress due to Seismic Bending Moment?

Stress due to Seismic Bending Moment calculator uses Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt) to calculate 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 fbendingmoment symbol.

How to calculate Stress due to Seismic Bending Moment using this online calculator? To use this online calculator for Stress due to Seismic Bending Moment, enter Maximum Seismic Moment (Ms), Mean Diameter of Skirt (Dsk) & Thickness of Skirt (tsk) and hit the calculate button. Here is how the Stress due to Seismic Bending Moment calculation can be explained with given input values -> 1.3E-8 = (4*4400)/(pi*(0.6012^(2))*0.00118).

FAQ

What is 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 and is represented as fbendingmoment = (4*Ms)/(pi*(Dsk^(2))*tsk) or Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt). 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, Mean Diameter of Skirt in a vessel will depend on the size and design of the vessel & 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.
How to calculate 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 is calculated using Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt). To calculate Stress due to Seismic Bending Moment, you need Maximum Seismic Moment (Ms), Mean Diameter of Skirt (Dsk) & Thickness of Skirt (tsk). With our tool, you need to enter the respective value for Maximum Seismic Moment, Mean Diameter of Skirt & Thickness of Skirt 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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