Period of Vibration at Dead Weight Calculator

✖Overall Height of Vessel and Skirt refers to the total vertical distance from the base or bottom of the vessel to the highest point on the vessel.ⓘ Overall Height of Vessel [H]			+10% -10%
✖Diameter of Shell Vessel Support refers to the horizontal distance across the circular or cylindrical section of the support structure that provides stability.ⓘ Diameter of Shell Vessel Support [D]			+10% -10%
✖Weight of Vessel with Attachments and Contents refers to the total mass or force exerted by the vessel, including any additional equipment, structures, and the material contained within the vessel.ⓘ Weight of Vessel with Attachments and Contents [ΣWeight]			+10% -10%
✖Corroded Vessel Wall Thickness refers to the minimum remaining thickness of the pressure vessel's wall after it has been corroded by exposure to the process fluid.ⓘ Corroded Vessel Wall Thickness [t_vesselwall]			+10% -10%

✖The Period of Vibration at Dead Weight is a measure of how quickly the structure will oscillate or vibrate when subjected to an external force or disturbance.ⓘ Period of Vibration at Dead Weight [T]

⎘ Copy

👎

Formula

✖

Period of Vibration at Dead Weight

Formula

`"T" = 6.35*10^(-5)*("H"/"D")^(3/2)*("ΣWeight"/"t"_{"vesselwall"})^(1/2)`

Example

`"0.012801s"=6.35*10^(-5)*("12000mm"/"600mm")^(3/2)*("35000N"/"6890mm")^(1/2)`

Calculator

LaTeX

Reset

👍

Download Saddle Support Formulas PDF PDF Image

Period of Vibration at Dead Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T = 6.35*10^(-5)*(H/D)^(3/2)*(ΣWeight/t_vesselwall)^(1/2)
This formula uses 5 Variables

Variables Used

Period of Vibration at Dead Weight - (Measured in Second) - The Period of Vibration at Dead Weight is a measure of how quickly the structure will oscillate or vibrate when subjected to an external force or disturbance.
Overall Height of Vessel - (Measured in Millimeter) - Overall Height of Vessel and Skirt refers to the total vertical distance from the base or bottom of the vessel to the highest point on the vessel.
Diameter of Shell Vessel Support - (Measured in Millimeter) - Diameter of Shell Vessel Support refers to the horizontal distance across the circular or cylindrical section of the support structure that provides stability.
Weight of Vessel with Attachments and Contents - (Measured in Newton) - Weight of Vessel with Attachments and Contents refers to the total mass or force exerted by the vessel, including any additional equipment, structures, and the material contained within the vessel.
Corroded Vessel Wall Thickness - (Measured in Millimeter) - Corroded Vessel Wall Thickness refers to the minimum remaining thickness of the pressure vessel's wall after it has been corroded by exposure to the process fluid.

STEP 1: Convert Input(s) to Base Unit

Overall Height of Vessel: 12000 Millimeter --> 12000 Millimeter No Conversion Required
Diameter of Shell Vessel Support: 600 Millimeter --> 600 Millimeter No Conversion Required
Weight of Vessel with Attachments and Contents: 35000 Newton --> 35000 Newton No Conversion Required
Corroded Vessel Wall Thickness: 6890 Millimeter --> 6890 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = 6.35*10^(-5)*(H/D)^(3/2)*(ΣWeight/t_vesselwall)^(1/2) --> 6.35*10^(-5)*(12000/600)^(3/2)*(35000/6890)^(1/2)

Evaluating ... ...

T = 0.0128009773756023

STEP 3: Convert Result to Output's Unit

0.0128009773756023 Second --> No Conversion Required

FINAL ANSWER

0.0128009773756023 ≈ 0.012801 Second <-- Period of Vibration at Dead Weight

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Process Equipment Design » Vessel Supports » Saddle Support » Period of Vibration at Dead Weight

Credits

Created by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet has created this Calculator and 200+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 800+ more calculators!

< 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

Period of Vibration at Dead Weight Formula

What is Basis of Design?

The Basis of Design (BOD) documents the principles, assumptions, rationale, criteria, and considerations used for calculations and decisions required during design. The BOD is developed by the Designer and builds upon the PC and OPR. The BOD describes the technical approach planned for the project and is incorporated into the project technical specifications. The BOD is used as the basis for design calculations and other design decisions. It includes catalog cuts and manufacturers information used to set the minimum levels of quality or performance set by the design. It also includes a narrative to describe the design approach and evolves into a more detailed document that can be used later by maintenance and operations personnel for building operation, recommissioning, and maintenance.

How to Calculate Period of Vibration at Dead Weight?

Period of Vibration at Dead Weight calculator uses 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) to calculate the Period of Vibration at Dead Weight, The Period of Vibration at Dead Weight is a measure of how quickly the vessel will oscillate or vibrate when subjected to an external force or disturbance. Period of Vibration at Dead Weight is denoted by T symbol.

How to calculate Period of Vibration at Dead Weight using this online calculator? To use this online calculator for Period of Vibration at Dead Weight, enter Overall Height of Vessel (H), Diameter of Shell Vessel Support (D), Weight of Vessel with Attachments and Contents (ΣWeight) & Corroded Vessel Wall Thickness (t_vesselwall) and hit the calculate button. Here is how the Period of Vibration at Dead Weight calculation can be explained with given input values -> 0.012801 = 6.35*10^(-5)*(12/0.6)^(3/2)*(35000/6.89)^(1/2).

FAQ

What is Period of Vibration at Dead Weight?

The Period of Vibration at Dead Weight is a measure of how quickly the vessel will oscillate or vibrate when subjected to an external force or disturbance and is represented as T = 6.35*10^(-5)*(H/D)^(3/2)*(ΣWeight/t_vesselwall)^(1/2) or 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). Overall Height of Vessel and Skirt refers to the total vertical distance from the base or bottom of the vessel to the highest point on the vessel, Diameter of Shell Vessel Support refers to the horizontal distance across the circular or cylindrical section of the support structure that provides stability, Weight of Vessel with Attachments and Contents refers to the total mass or force exerted by the vessel, including any additional equipment, structures, and the material contained within the vessel & Corroded Vessel Wall Thickness refers to the minimum remaining thickness of the pressure vessel's wall after it has been corroded by exposure to the process fluid.

How to calculate Period of Vibration at Dead Weight?

The Period of Vibration at Dead Weight is a measure of how quickly the vessel will oscillate or vibrate when subjected to an external force or disturbance is calculated using 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). To calculate Period of Vibration at Dead Weight, you need Overall Height of Vessel (H), Diameter of Shell Vessel Support (D), Weight of Vessel with Attachments and Contents (ΣWeight) & Corroded Vessel Wall Thickness (t_vesselwall). With our tool, you need to enter the respective value for Overall Height of Vessel, Diameter of Shell Vessel Support, Weight of Vessel with Attachments and Contents & Corroded Vessel Wall Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search