Circumferential Length of Bearing Plate given Maximum Bending Moment 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%
✖Compressive stress is a force that causes a material to deform to occupy a smaller volume.ⓘ Compressive Stress [f_appliedload]			+10% -10%
✖Difference Between Radius Bearing Plate and Skirt is primarily related to the different functions which helps to distribute the load more evenly and reduce stress concentrations.ⓘ Difference Between Radius Bearing Plate and Skirt [l]			+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 given Maximum Bending Moment [b]

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Formula

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Circumferential Length of Bearing Plate given Maximum Bending Moment

Formula

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

Example

`"204608.4mm"="13000000N*mm"/("2.2N/mm²"*(("7.6mm")^2/2))`

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Circumferential Length of Bearing Plate given Maximum Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2))
b = M_max/(f_appliedload*(l^2/2))
This formula uses 4 Variables

Variables Used

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.
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.
Compressive Stress - (Measured in Pascal) - Compressive stress is a force that causes a material to deform to occupy a smaller volume.
Difference Between Radius Bearing Plate and Skirt - (Measured in Meter) - Difference Between Radius Bearing Plate and Skirt is primarily related to the different functions which helps to distribute the load more evenly and reduce stress concentrations.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment: 13000000 Newton Millimeter --> 13000 Newton Meter (Check conversion here)
Compressive Stress: 2.2 Newton per Square Millimeter --> 2200000 Pascal (Check conversion here)
Difference Between Radius Bearing Plate and Skirt: 7.6 Millimeter --> 0.0076 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = M_max/(f_appliedload*(l^2/2)) --> 13000/(2200000*(0.0076^2/2))

Evaluating ... ...

b = 204.608410979602

STEP 3: Convert Result to Output's Unit

204.608410979602 Meter -->204608.410979602 Millimeter (Check conversion here)

FINAL ANSWER

204608.410979602 ≈ 204608.4 Millimeter <-- Circumferential Length of Bearing Plate

(Calculation completed in 00.004 seconds)

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< 7 Skirt Supports Calculators

Minimum Stress between Bearing Plate and Concrete Foundation

Go Stress in Bearing Plate and Concrete Foundation = (Maximum Weight of Empty Vessel/Area between Bearing Plate & Concrete Foundation)-(Maximum Seismic Moment/Section Modulus of Area A)

Area using Minimum Stress

Go Area between Bearing Plate & Concrete Foundation = Maximum Weight of Empty Vessel/(Stress in Bearing Plate and Concrete Foundation+(Maximum Seismic Moment/Section Modulus of Area A))

Area between Bearing Plate and Concrete Foundation using Compressive Stress

Go Area between Bearing Plate & Concrete Foundation = Total Weight of Vessel/(Maximum Compressive Stress of Concrete-(Maximum Seismic Moment/Section Modulus of Area A))

Total Weight of Vessel given Maximum Compressive Stress

Go Total Weight of Vessel = (Maximum Compressive Stress of Concrete-(Maximum Seismic Moment/Section Modulus of Area A))*Area between Bearing Plate & Concrete Foundation

Compressive Stress between Bearing Plate and Concrete Foundation

Go Maximum Compressive Stress = (Total Weight of Vessel/Area between Bearing Plate & Concrete Foundation)+(Maximum Seismic Moment/Section Modulus of Area A)

Circumferential Length of Bearing Plate given Maximum Bending Moment

Go Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2))

Maximum Bending Moment at Junction of Skirt and Bearing Plate

Go Maximum Bending Moment = Compressive Stress*Circumferential Length of Bearing Plate*(Difference Between Radius Bearing Plate and Skirt^(2)/2)

Circumferential Length of Bearing Plate given Maximum Bending Moment Formula

Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2))
b = M_max/(f_appliedload*(l^2/2))

What is Maximum Bending Moment?

The maximum bending moment, often denoted as "Mmax," is the greatest internal moment of force that occurs within a structural element, such as a beam, when it is subjected to a load or loads. Bending moment is a measure of the bending or flexural behavior of the structural element and is a result of external forces and reactions acting on it. The bending moment at any point along a beam is calculated by considering the forces applied to the beam, the distance from the point of interest to those forces, and the geometry of the beam. The maximum bending moment typically occurs at a specific location along the beam, where it is subjected to the highest moment of force. This location is usually where the applied loads or reactions create the most significant bending effect.

How to Calculate Circumferential Length of Bearing Plate given Maximum Bending Moment?

Circumferential Length of Bearing Plate given Maximum Bending Moment calculator uses Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2)) to calculate the Circumferential Length of Bearing Plate, Circumferential Length of Bearing Plate given Maximum Bending Moment refers to a structural engineering concept related to the design and analysis of cylindrical vessels or tanks, such as those used in the chemical, petrochemical, and oil and gas industries. In these structures, a skirt is a vertical or inclined cylindrical shell section that supports the weight of the vessel and its contents. Circumferential Length of Bearing Plate is denoted by b symbol.

How to calculate Circumferential Length of Bearing Plate given Maximum Bending Moment using this online calculator? To use this online calculator for Circumferential Length of Bearing Plate given Maximum Bending Moment, enter Maximum Bending Moment (M_max), Compressive Stress (f_appliedload) & Difference Between Radius Bearing Plate and Skirt (l) and hit the calculate button. Here is how the Circumferential Length of Bearing Plate given Maximum Bending Moment calculation can be explained with given input values -> 2E+8 = 13000/(2200000*(0.0076^2/2)).

FAQ

What is Circumferential Length of Bearing Plate given Maximum Bending Moment?

Circumferential Length of Bearing Plate given Maximum Bending Moment refers to a structural engineering concept related to the design and analysis of cylindrical vessels or tanks, such as those used in the chemical, petrochemical, and oil and gas industries. In these structures, a skirt is a vertical or inclined cylindrical shell section that supports the weight of the vessel and its contents and is represented as b = M_max/(f_appliedload*(l^2/2)) or Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2)). 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, Compressive stress is a force that causes a material to deform to occupy a smaller volume & Difference Between Radius Bearing Plate and Skirt is primarily related to the different functions which helps to distribute the load more evenly and reduce stress concentrations.

How to calculate Circumferential Length of Bearing Plate given Maximum Bending Moment?

Circumferential Length of Bearing Plate given Maximum Bending Moment refers to a structural engineering concept related to the design and analysis of cylindrical vessels or tanks, such as those used in the chemical, petrochemical, and oil and gas industries. In these structures, a skirt is a vertical or inclined cylindrical shell section that supports the weight of the vessel and its contents is calculated using Circumferential Length of Bearing Plate = Maximum Bending Moment/(Compressive Stress*(Difference Between Radius Bearing Plate and Skirt^2/2)). To calculate Circumferential Length of Bearing Plate given Maximum Bending Moment, you need Maximum Bending Moment (M_max), Compressive Stress (f_appliedload) & Difference Between Radius Bearing Plate and Skirt (l). With our tool, you need to enter the respective value for Maximum Bending Moment, Compressive Stress & Difference Between Radius Bearing Plate and 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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