Diameter of Bolt given Cross Sectional Area Calculator

✖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

`"5.100743mm"=("20.43416mm²"*(4/pi))^(0.5)`

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Download Design of Anchor Bolt & Bolting Chair Formulas PDF PDF Image

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: 20.43416 Square Millimeter --> 2.043416E-05 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = (A_bolt*(4/pi))^(0.5) --> (2.043416E-05*(4/pi))^(0.5)

Evaluating ... ...

d_b = 0.00510074313952834

STEP 3: Convert Result to Output's Unit

0.00510074313952834 Meter -->5.10074313952834 Millimeter (Check conversion here)

FINAL ANSWER

5.10074313952834 ≈ 5.100743 Millimeter <-- Diameter of Bolt

(Calculation completed in 00.004 seconds)

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< 14 Design of Anchor Bolt & Bolting Chair Calculators

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))

Wind Pressure acting on Upper Part of Vessel

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

Wind Pressure acting on Lower Part of Vessel

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

Height of Lower Part of Vessel

Go Height of Lower Part of Vessel = 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*Outside Diameter of Vessel)

Height of Upper Part of Vessel

Go Height of Upper Part of Vessel = 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*Outside Diameter of Vessel)

Diameter of Anchor Bolt Circle

Go Diameter of Anchor Bolt Circle = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Maximum Compressive Load on Remote Bracket)

Mean Diameter of Skirt in Vessel

Go Mean Diameter of Skirt = ((4*Maximum Wind Moment)/((pi*(Axial Bending Stress at Base of Vessel)*Thickness of Skirt)))^(0.5)

Maximum Compressive Load

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

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)

Maximum Seismic Moment

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

Stress due to Internal Pressure

Go Stress due to Internal Pressure = (Internal Design Pressure*Vessel Diameter)/(2*Shell Thickness)

Cross Sectional Area of Bolt

Go Cross Sectional 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

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 -> 5100.743 = (2.043416E-05*(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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