Maximum Bending Stress in Base Ring Plate Calculator

✖The Maximum Bending Moment at Junction of Skirt and Bearing Plate is determined by the maximum stress that the equipment will experience at the junction of the skirt and bearing plate.ⓘ Maximum Bending Moment [M_max]			+10% -10%
✖Circumferential Length of Bearing Plate is the length of the outermost edge of the plate when measured around the circumference.ⓘ Circumferential Length of Bearing Plate [b]			+10% -10%
✖Thickness of Base Bearing Plate depends on several factors such as the load it needs to support, the material used for the plate, and the design requirements for the specific application.ⓘ Thickness of Base Bearing Plate [t_b]			+10% -10%

✖Maximum Bending Stress in Base Ring Plate is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum Bending Stress in Base Ring Plate [f_max]

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Formula

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Maximum Bending Stress in Base Ring Plate

Formula

`"f"_{"max"} = (6*"M"_{"max"})/("b"*"t"_{"b"}^(2))`

Example

`"60.9375N/mm²"=(6*"13000000N*mm")/("200mm"*("80mm")^(2))`

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Maximum Bending Stress in Base Ring Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2))
f_max = (6*M_max)/(b*t_b^(2))
This formula uses 4 Variables

Variables Used

Maximum Bending Stress in Base Ring Plate - (Measured in Pascal) - Maximum Bending Stress in Base Ring Plate is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Maximum Bending Moment - (Measured in Newton Meter) - The Maximum Bending Moment at Junction of Skirt and Bearing Plate is determined by the maximum stress that the equipment will experience at the junction of the skirt and bearing plate.
Circumferential Length of Bearing Plate - (Measured in Meter) - Circumferential Length of Bearing Plate is the length of the outermost edge of the plate when measured around the circumference.
Thickness of Base Bearing Plate - (Measured in Meter) - Thickness of Base Bearing Plate depends on several factors such as the load it needs to support, the material used for the plate, and the design requirements for the specific application.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment: 13000000 Newton Millimeter --> 13000 Newton Meter (Check conversion here)
Circumferential Length of Bearing Plate: 200 Millimeter --> 0.2 Meter (Check conversion here)
Thickness of Base Bearing Plate: 80 Millimeter --> 0.08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_max = (6*M_max)/(b*t_b^(2)) --> (6*13000)/(0.2*0.08^(2))

Evaluating ... ...

f_max = 60937500

STEP 3: Convert Result to Output's Unit

60937500 Pascal -->60.9375 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

60.9375 Newton per Square Millimeter <-- Maximum Bending Stress in Base Ring Plate

(Calculation completed in 00.004 seconds)

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< 16 Design Thickness of Skirt Calculators

Wind Load acting on Lower Part of Vessel

Go Wind Load acting on Lower Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Lower Part of Vessel*Height of Lower Part of Vessel*Outside Diameter of Vessel

Wind Load acting on Upper Part of Vessel

Go Wind Load acting on Upper Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Upper Part of Vessel*Height of Upper Part of Vessel*Outside Diameter of Vessel

Maximum Wind Moment for Vessel with Total Height Greater than 20m

Go Maximum Wind Moment = Wind Load acting on Lower Part of Vessel*(Height of Lower Part of Vessel/2)+Wind Load acting on Upper Part of Vessel*(Height of Lower Part of Vessel+(Height of Upper Part of Vessel/2))

Thickness of Bearing Plate inside Chair

Go Thickness of Bearing Plate inside Chair = sqrt((6*Maximum Bending Moment in Bearing Plate)/((Width of Bearing Plate-Diameter of Bolt Hole in Bearing Plate)*Allowable Stress in Bolt Material))

Total Compressive Load on Base Ring

Go Total Compressive Load at Base Ring = (((4*Maximum Bending Moment)/((pi)*(Mean Diameter of Skirt)^(2)))+(Total Weight of Vessel/(pi*Mean Diameter of Skirt)))

Thickness of Base Bearing Plate

Go Thickness of Base Bearing Plate = Difference Outer Radius of Bearing Plate and Skirt*(sqrt((3*Maximum Compressive Stress)/(Allowable Bending Stress)))

Thickness of Skirt in Vessel

Go Thickness of Skirt in Vessel = (4*Maximum Wind Moment)/(pi*(Mean Diameter of Skirt)^(2)*Axial Bending Stress at Base of Vessel)

Axial Bending Stress due to Wind Load at Base of Vessel

Go Axial Bending Stress at Base of Vessel = (4*Maximum Wind Moment)/(pi*(Mean Diameter of Skirt)^(2)*Thickness of Skirt)

Maximum Bending Stress in Base Ring Plate

Go Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2))

Compressive Stress due to Vertical Downward Force

Go Compressive Stress due to Force = Total Weight of Vessel/(pi*Mean Diameter of Skirt*Thickness of Skirt)

Minimum Width of Base Ring

Go Minimum Width of Base Ring = Total Compressive Load at Base Ring/Stress in Bearing Plate and Concrete Foundation

Maximum Wind Moment for Vessel with Total Height Less than 20m

Go Maximum Wind Moment = Wind Load acting on Lower Part of Vessel*(Total Height of Vessel/2)

Maximum Bending Moment in Bearing Plate Inside Chair

Go Maximum Bending Moment in Bearing Plate = (Load on Each Bolt*Spacing Inside Chairs)/8

Maximum Tensile Stress

Go Maximum Tensile Stress = Stress due to Bending Moment-Compressive Stress due to Force

Moment Arm for Minimum Weight of Vessel

Go Moment Arm for Minimum Weight of Vessel = 0.42*Outer Diameter of Bearing Plate

Minimum Wind Pressure at Vessel

Go Minimum Wind Pressure = 0.05*(Maximum Wind Velocity)^(2)

Maximum Bending Stress in Base Ring Plate Formula

Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2))
f_max = (6*M_max)/(b*t_b^(2))

What is Design Thickness?

Design thickness refers to the thickness of a structural component that is calculated based on its intended use and the load it will be subjected to. It is a critical parameter in the design of structures, as it affects the strength, stability, and durability of the component.For example, in the design of pressure vessels, the design thickness is calculated based on the maximum allowable stress for the material, the expected pressure, and the diameter and length of the vessel. In the design of beams, the design thickness is calculated based on the maximum bending moment, shear force, and deflection that the beam will experience.

How to Calculate Maximum Bending Stress in Base Ring Plate?

Maximum Bending Stress in Base Ring Plate calculator uses Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2)) to calculate the Maximum Bending Stress in Base Ring Plate, The Maximum Bending Stress in Base Ring Plate formula is proportional to the bending moment but inversely proportional to the square of the ring plate thickness. Maximum Bending Stress in Base Ring Plate is denoted by f_max symbol.

How to calculate Maximum Bending Stress in Base Ring Plate using this online calculator? To use this online calculator for Maximum Bending Stress in Base Ring Plate, enter Maximum Bending Moment (M_max), Circumferential Length of Bearing Plate (b) & Thickness of Base Bearing Plate (t_b) and hit the calculate button. Here is how the Maximum Bending Stress in Base Ring Plate calculation can be explained with given input values -> 6.1E-5 = (6*13000)/(0.2*0.08^(2)).

FAQ

What is Maximum Bending Stress in Base Ring Plate?

The Maximum Bending Stress in Base Ring Plate formula is proportional to the bending moment but inversely proportional to the square of the ring plate thickness and is represented as f_max = (6*M_max)/(b*t_b^(2)) or Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2)). The Maximum Bending Moment at Junction of Skirt and Bearing Plate is determined by the maximum stress that the equipment will experience at the junction of the skirt and bearing plate, Circumferential Length of Bearing Plate is the length of the outermost edge of the plate when measured around the circumference & Thickness of Base Bearing Plate depends on several factors such as the load it needs to support, the material used for the plate, and the design requirements for the specific application.

How to calculate Maximum Bending Stress in Base Ring Plate?

The Maximum Bending Stress in Base Ring Plate formula is proportional to the bending moment but inversely proportional to the square of the ring plate thickness is calculated using Maximum Bending Stress in Base Ring Plate = (6*Maximum Bending Moment)/(Circumferential Length of Bearing Plate*Thickness of Base Bearing Plate^(2)). To calculate Maximum Bending Stress in Base Ring Plate, you need Maximum Bending Moment (M_max), Circumferential Length of Bearing Plate (b) & Thickness of Base Bearing Plate (t_b). With our tool, you need to enter the respective value for Maximum Bending Moment, Circumferential Length of Bearing Plate & Thickness of Base Bearing Plate 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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