Thin Wall Circle
Two circles each having all points on each circle at a fixed equal distance from a center point.- Center of a circle having all points on the line circumference are at equal distance from the center point.
- A thin wall circle is a structural shape used in construction.
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area of a Thin Walled Circle formula |
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\(\large{ A = 2\; \pi \;r\; t }\) \(\large{ A = \pi \;D\; t }\) |
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| Symbol | English | Metric |
| \(\large{ A }\) = area | \(\large{ in^2 }\) | \(\large{ mm^2 }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ D }\) = outside diameter | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Perimeter of a Thin Walled Circle formula |
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\(\large{ P = 2\; \pi \;r }\) (outside) \(\large{ P = 2\; \pi \; \left( r - t \right) }\) (inside) |
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| Symbol | English | Metric |
| \(\large{ P }\) = perimeter | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Radius of a Thin Walled Circle formula |
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| \(\large{ r = \sqrt {\frac {2\;A} {\pi} } }\) | ||
| Symbol | English | Metric |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ A }\) = area | \(\large{ in^2 }\) | \(\large{ mm^2 }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
Distance from Centroid of a Thin Walled Circle formulas |
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\(\large{ C_x = r}\) \(\large{ C_y = r}\) |
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| Symbol | English | Metric |
| \(\large{ C_x, C_y }\) = distance from centroid | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
Elastic Section Modulus of a Thin Walled Circle formula |
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| \(\large{ S = \frac { 2\; \pi \;r \;t } { 3 } }\) | ||
| Symbol | English | Metric |
| \(\large{ S }\) = elastic section modulus | \(\large{in^3}\) | \(\large{mm^3}\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Plastic Section Modulus of a Thin Walled Circle formula |
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| \(\large{ Z = \pi \;r^2 \;t }\) | ||
| Symbol | English | Metric |
| \(\large{ Z }\) = plastic section modulus | \(\large{ in^3 }\) | \(\large{mm^3 }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Polar Moment of Inertia of a Thin Walled Circle formulas |
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\(\large{ J_{z} = 2\; \pi \;r^3 \;t }\) \(\large{ J_{z1} = 6\; \pi \;r^3 \;t }\) |
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| Symbol | English | Metric |
| \(\large{ J }\) = torsional constant | \(\large{ in^4 }\) | \(\large{mm^4 }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Radius of Gyration of a Thin Walled Circle formulas |
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\(\large{ k_{x} = \frac { \sqrt {2} } { 2 } \; r }\) \(\large{ k_{y} = \frac { \sqrt {2} } { 2 } \; r }\) \(\large{ k_{z} = r }\) \(\large{ k_{x1} = \frac { \sqrt {6} } { 2 } \; r }\) \(\large{ k_{y1} = \frac { \sqrt {6} } { 2 } \; r }\) \(\large{ k_{z1} = \sqrt {3} \; r }\) |
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| Symbol | English | Metric |
| \(\large{ k }\) = radius of gyration | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
Second Moment of Area of a Thin Walled Circle formulas |
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\(\large{ I_{x} = \pi \;r^3 \;t }\) \(\large{ I_{x1} = 3\; \pi \;r^3 \;t }\) \(\large{ I_{y1} = 3\; \pi \;r^3 \;t }\) |
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| Symbol | English | Metric |
| \(\large{ I }\) = moment of inertia | \(\large{ in^4 }\) | \(\large{mm^4 }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Torsional Constant of a Thin Walled Circle formula |
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| \(\large{ J = 2\; \pi \;r^3 \; t }\) | ||
| Symbol | English | Metric |
| \(\large{ J }\) = torsional constant | \(\large{ in^4 }\) | \(\large{mm^4 }\) |
| \(\large{ r }\) = inside radius | \(\large{ in }\) | \(\large{mm }\) |
| \(\large{ \pi }\) = Pi | \(\large{3.141 592 653 ...}\) | |
| \(\large{ t }\) = thickness | \(\large{ in }\) | \(\large{mm }\) |
Tags: Perimeter Equations Inertia Equations Structural Steel Equations Modulus Equations