# Square Diamond

on . Posted in Plane Geometry

• A square diamond is a structural shape used in construction.
• Abbreviated as SQ
• Interior angles are 90°.
• Exterior angles are 90°.
• 2 diagonals
• 4 edges
• 4 vertexs

## Area of a Square Diamond formula

$$\large{ A = a^2 }$$
Symbol English Metric
$$\large{ A_{area} }$$ = area $$\large{ in^2 }$$  $$\large{ mm^2 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Distance from Centroid of a Square Diamond formulas

$$\large{ C_x = \frac{ a }{ 2 } }$$

$$\large{ C_y = \frac{ a }{ 2} }$$

Symbol English Metric
$$\large{ C }$$ = distance from centroid $$\large{ in }$$  $$\large{ mm }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Elastic Section Modulus of a Square Diamond formula

$$\large{ S = \frac{ a^3 }{ 6\; \sqrt {2} } }$$
Symbol English Metric
$$\large{ S }$$ = elastic section modulus $$\large{in^3}$$  $$\large{ mm^3 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Perimeter of a Square Diamond formulas

$$\large{ P= 4\;a }$$
Symbol English Metric
$$\large{ P }$$ = perimeter $$\large{ in }$$  $$\large{ mm }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Plastic Section Modulus of a Square Diamond formula

$$\large{ Z = \frac { a^3\; \sqrt {2} } { 6 } }$$
Symbol English Metric
$$\large{ Z }$$ = plastic section modulus $$\large{ in^3 }$$  $$\large{ mm^3 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Polar Moment of Inertia of a Square Diamond formulas

$$\large{ J_{z} = \frac{a^4}{6} }$$

$$\large{ J_{z1} = \frac{2\;a^4}{3} }$$

Symbol English Metric
$$\large{ J }$$ = torsional constant $$\large{ in^4 }$$  $$\large{ mm^4 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Radius of Gyration of a Square Diamond formulas

$$\large{ k_{x} = \frac{ a }{ 2 \; \sqrt{3} } }$$

$$\large{ k_{y} = \frac{ a }{ 2 \; \sqrt{3} } }$$

$$\large{ k_{z} = \frac{ a }{ \sqrt{6} } }$$

$$\large{ k_{x1} = \frac{ a }{ \sqrt{3} } }$$

$$\large{ k_{y1} = \frac{ a }{ \sqrt{3} } }$$

$$\large{ k_{z1} = \sqrt{ \frac{2}{3} \;a } }$$

Symbol English Metric
$$\large{ k }$$ = radius of gyration $$\large{ in }$$  $$\large{ mm }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Second Moment of Area of a Square Diamond formulas

$$\large{ I_{x} = \frac{a^4}{12} }$$

$$\large{ I_{y} = \frac{a^4}{12} }$$

$$\large{ I_{x1} = \frac{a^4}{3} }$$

$$\large{ I_{y1} = \frac{a^4}{3} }$$

Symbol English Metric
$$\large{ I }$$ = moment of inertia $$\large{ in^4 }$$  $$\large{ mm^4 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

## Side of a Square Diamond formula

$$\large{ a= \sqrt{A} }$$
Symbol English Metric
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$
$$\large{ A }$$ = area $$\large{ in^2 }$$  $$\large{ mm^2 }$$

## Torsional Constant of a Square Diamond formula

$$\large{ J = 2.25 \; \left(\frac{a}{2}\right)^4 }$$
Symbol English Metric
$$\large{ J }$$ = torsional constant $$\large{ in^4 }$$  $$\large{ mm^4 }$$
$$\large{ a }$$ = edge $$\large{ in }$$ $$\large{ mm }$$

Tags: Structural Steel