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Period of Vibration at Dead Weight Formula

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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. Check FAQs

T = 6.35 \cdot 10^{- 5} \cdot {(\frac{H}{D})}^{\frac{3}{2}} \cdot {(\frac{ΣWeight}{t vesselwall})}^{\frac{1}{2}}

T - Period of Vibration at Dead Weight?H - Overall Height of Vessel?D - Diameter of Shell Vessel Support?ΣWeight - Weight of Vessel with Attachments and Contents?t_vesselwall - Corroded Vessel Wall Thickness?

Period of Vibration at Dead Weight Example

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Here is how the Period of Vibration at Dead Weight equation looks like with Values.

Here is how the Period of Vibration at Dead Weight equation looks like with Units.

Here is how the Period of Vibration at Dead Weight equation looks like.

0.0128 = 6.35 \cdot 10^{- 5} \cdot {(\frac{12000}{600})}^{\frac{3}{2}} \cdot {(\frac{35000}{6890})}^{\frac{1}{2}}

0.0128s = 6.35 \cdot 10^{- 5} \cdot {(\frac{12000mm}{600mm})}^{\frac{3}{2}} \cdot {(\frac{35000N}{6890mm})}^{\frac{1}{2}}

0.0128 = 6.35 \cdot 10^{- 5} \cdot {(\frac{12000}{600})}^{\frac{3}{2}} \cdot {(\frac{35000}{6890})}^{\frac{1}{2}}

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Period of Vibration at Dead Weight Solution

Follow our step by step solution on how to calculate Period of Vibration at Dead Weight?

FIRST Step Consider the formula

T = 6.35 \cdot 10^{- 5} \cdot {(\frac{H}{D})}^{\frac{3}{2}} \cdot {(\frac{ΣWeight}{t vesselwall})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

T = 6.35 \cdot 10^{- 5} \cdot {(\frac{12000mm}{600mm})}^{\frac{3}{2}} \cdot {(\frac{35000N}{6890mm})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

T = 6.35 \cdot 10^{- 5} \cdot {(\frac{12000}{600})}^{\frac{3}{2}} \cdot {(\frac{35000}{6890})}^{\frac{1}{2}}

Next Step Evaluate

∴

T = 0.0128009773756023s

LAST Step Rounding Answer

∴

T = 0.0128s

Period of Vibration at Dead Weight Formula Elements

Variables

Period of Vibration at Dead Weight

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.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Period of Vibration at Dead Weight

Overall Height of Vessel

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.

Symbol: H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Height of Vessel

Diameter of Shell Vessel Support

Diameter of Shell Vessel Support refers to the horizontal distance across the circular or cylindrical section of the support structure that provides stability.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shell Vessel Support

Weight of Vessel with Attachments and Contents

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.

Symbol: ΣWeight

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Vessel with Attachments and Contents

Corroded Vessel Wall Thickness

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.

Symbol: t_vesselwall

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Corroded Vessel Wall Thickness

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 Period of Vibration at Dead Weight?

Period of Vibration at Dead Weight evaluator 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 evaluate 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 evaluate Period of Vibration at Dead Weight using this online evaluator? To use this online evaluator 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.

FAQs on Period of Vibration at Dead Weight

What is the formula to find Period of Vibration at Dead Weight?

The formula of Period of Vibration at Dead Weight is expressed as 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). Here is an example- 0.012801 = 6.35*10^(-5)*(12/0.6)^(3/2)*(35000/6.89)^(1/2).

How to calculate Period of Vibration at Dead Weight?

With 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) we can find Period of Vibration at Dead Weight using the formula - 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).

Can the Period of Vibration at Dead Weight be negative?

No, the Period of Vibration at Dead Weight, measured in Time cannot be negative.

Which unit is used to measure Period of Vibration at Dead Weight?

Period of Vibration at Dead Weight is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Period of Vibration at Dead Weight can be measured.

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Period of Vibration at Dead Weight Formula

Period of Vibration at Dead Weight Example

Period of Vibration at Dead Weight Solution

Period of Vibration at Dead Weight Formula Elements

Other formulas in Saddle Support category

How to Evaluate Period of Vibration at Dead Weight?

FAQs on Period of Vibration at Dead Weight

Variable Name