# Square Diamond

Written by Jerry Ratzlaff 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

 $$\large{ A = a^2 }$$

### Where:

$$\large{ A }$$ = area

$$\large{ a }$$ = side

## Distance from Centroid of a Square Diamond formulas

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

### Where:

$$\large{ C }$$ = distance from centroid

$$\large{ a }$$ = side

## Elastic Section Modulus of a Square Diamond formula

 $$\large{ S = \frac { a^3 } { 6\; \sqrt {2} } }$$

### Where:

$$\large{ S }$$ = elastic section modulus

$$\large{ a }$$ = side

## Perimeter of a Square Diamond formulas

 $$\large{ P= 4\;a }$$

### Where:

$$\large{ P }$$ = perimeter

$$\large{ a }$$ = side

## Plastic Section Modulus of a Square Diamond formula

 $$\large{ Z = \frac { a^3\; \sqrt {2} } { 6 } }$$

### Where:

$$\large{ Z }$$ = plastic section modulus

$$\large{ a }$$ = side

## Polar Moment of Inertia of a Square Diamond formulas

 $$\large{ J_{z} = \frac{a^4}{6} }$$ $$\large{ J_{z1} = \frac{2\;a^4}{3} }$$

### Where:

$$\large{ J }$$ = torsional constant

$$\large{ a }$$ = side

## Radius of Gyration of a Square Diamond formulas

 $$\large{ k_{x} = \frac{ a }{ 2 \; \sqrt{3} } }$$ $$\large{ k_{y} = \frac{ a }{ 2 \; \sqrt{3} } }$$ $$\large{ k_{z} = \frac{ a }{ \sqrt{6} } }$$ $$\large{ k_{x1} = \frac{ a }{ \sqrt{3} } }$$ $$\large{ k_{y1} = \frac{ a }{ \sqrt{3} } }$$ $$\large{ k_{z1} = \sqrt{ \frac{2}{3} \;a } }$$

### Where:

$$\large{ k }$$ = radius of gyration

$$\large{ a }$$ = side

## Second Moment of Area of a Square Diamond formulas

 $$\large{ I_{x} = \frac{a^4}{12} }$$ $$\large{ I_{y} = \frac{a^4}{12} }$$ $$\large{ I_{x1} = \frac{a^4}{3} }$$ $$\large{ I_{y1} = \frac{a^4}{3} }$$

### Where:

$$\large{ I }$$ = moment of inertia

$$\large{ a }$$ = side

## Side of a Square Diamond formula

 $$\large{ a= \sqrt{A} }$$

### Where:

$$\large{ a }$$ = side

$$\large{ A }$$ = area

## Torsional Constant of a Square Diamond formula

 $$\large{ J = 2.25 \; \left(\frac{a}{2}\right)^4 }$$

### Where:

$$\large{ J }$$ = torsional constant

$$\large{ a }$$ = side