Diameter of Bolt given Cross Sectional Area Calculator

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✖Cross Sectional Area of Bolt refers to the area of a dimensional shape or section that is perpendicular to the axis of bolt.ⓘ Cross Sectional Area of Bolt [A_bolt]

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✖Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt.ⓘ Diameter of Bolt given Cross Sectional Area [d_b]

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Formula

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Diameter of Bolt given Cross Sectional Area

Formula

`"d"_{"b"} = ("A"_{"bolt"}*(4/pi))^(0.5)`

Example

`"71.47193mm"=("4012mm²"*(4/pi))^(0.5)`

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Diameter of Bolt given Cross Sectional Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)
d_b = (A_bolt*(4/pi))^(0.5)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Bolt - (Measured in Meter) - Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt.
Cross Sectional Area of Bolt - (Measured in Square Meter) - Cross Sectional Area of Bolt refers to the area of a dimensional shape or section that is perpendicular to the axis of bolt.

STEP 1: Convert Input(s) to Base Unit

Cross Sectional Area of Bolt: 4012 Square Millimeter --> 0.004012 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = (A_bolt*(4/pi))^(0.5) --> (0.004012*(4/pi))^(0.5)

Evaluating ... ...

d_b = 0.0714719319276978

STEP 3: Convert Result to Output's Unit

0.0714719319276978 Meter -->71.4719319276978 Millimeter (Check conversion here)

FINAL ANSWER

71.4719319276978 Millimeter <-- Diameter of Bolt

(Calculation completed in 00.000 seconds)

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< 25 Vessel Supports Calculators

Maximum Combined Stress on Long Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Column)))

Maximum Stress in Horizontal Plate fixed at Edges

Go Maximum Stress in Horizontal Plate fixed at Edges = 0.7*Maximum Pressure on Horizontal Plate*((Length of Horizontal Plate)^(2)/(Thickness of Horizontal Plate)^(2))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate))^(4))

Maximum Combined Stress on Short Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Column)))

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

Thickness of Bearing Plate inside Chair

Go Thickness of Bearing Plate inside Chair = ((6*Maximum Bending Moment in Bearing Plate)/((Width of Bearing Plate-Diameter of Bolt Hole in Bearing Plate)*Allowable Stress in Bolt Material))^(0.5)

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)

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)

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(1/cos(Gusset Plate Edge Angle))

Thickness of Base Bearing Plate

Go Thickness of Base Bearing Plate = Difference Outer Radius of Bearing Plate and Skirt*((3*Maximum Compressive Stress)/(Allowable Bending Stress))^(0.5)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Compressive Load

Go Maximum Compressive Load on Remote Bracket = Maximum Pressure on Horizontal Plate*(Length of Horizontal Plate*Effective Width of Horizontal Plate)

Stress due to Seismic Bending Moment

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

Load on Each Bolt

Go Load on Each Bolt = Stress in Bearing Plate and Concrete Foundation*(Area of Contact in Bearing Plate and Foundation/Number of Bolts)

Compressive Stress due to Vertical Downward Force

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

Maximum Seismic Moment

Go Maximum Seismic Moment = ((2/3)*Seismic Coefficient*Total Weight of Vessel*Total Height of Vessel)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

Go Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Maximum Beading 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

Cross Sectional Area of Bolt

Go Cross Section Area of Bolt = Load on Each Bolt/Permissible Stress for Bolt Materials

Diameter of Bolt given Cross Sectional Area

Go Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)

Number of Bolts

Go Number of Bolts = (pi*Mean Diameter of Skirt)/600

Minimum Wind Pressure at Vessel

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

Diameter of Bolt given Cross Sectional Area Formula

Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)
d_b = (A_bolt*(4/pi))^(0.5)

What is Design Area?

Design area is a term used in engineering and structural design to describe the effective cross-sectional area of a material that is used in the calculation of design strength and other design parameters. The design area may differ from the actual physical area of the material due to various factors such as holes, notches, and other geometric features that can reduce the effective cross-sectional area of the material.In structural design, the design area is typically calculated by subtracting the areas of any holes or notches from the total cross-sectional area of the material. The design area is then used in the calculation of various design parameters such as design strength, bending moment capacity, and shear capacity.

How to Calculate Diameter of Bolt given Cross Sectional Area?

Diameter of Bolt given Cross Sectional Area calculator uses Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5) to calculate the Diameter of Bolt, The Diameter of Bolt given Cross Sectional Area formula is defined as the standards specify the sizes, thread types, and other dimensions for bolts and other fasteners based on various design and performance criteria. Diameter of Bolt is denoted by d_b symbol.

How to calculate Diameter of Bolt given Cross Sectional Area using this online calculator? To use this online calculator for Diameter of Bolt given Cross Sectional Area, enter Cross Sectional Area of Bolt (A_bolt) and hit the calculate button. Here is how the Diameter of Bolt given Cross Sectional Area calculation can be explained with given input values -> 71.47193 = (0.004012*(4/pi))^(0.5).

FAQ

What is Diameter of Bolt given Cross Sectional Area?

The Diameter of Bolt given Cross Sectional Area formula is defined as the standards specify the sizes, thread types, and other dimensions for bolts and other fasteners based on various design and performance criteria and is represented as d_b = (A_bolt*(4/pi))^(0.5) or Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5). Cross Sectional Area of Bolt refers to the area of a dimensional shape or section that is perpendicular to the axis of bolt.

How to calculate Diameter of Bolt given Cross Sectional Area?

The Diameter of Bolt given Cross Sectional Area formula is defined as the standards specify the sizes, thread types, and other dimensions for bolts and other fasteners based on various design and performance criteria is calculated using Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5). To calculate Diameter of Bolt given Cross Sectional Area, you need Cross Sectional Area of Bolt (A_bolt). With our tool, you need to enter the respective value for Cross Sectional Area of Bolt 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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