Vertically Perforated Clay Masonry Unit

1.

VERTICALLY PERFORATED
CLAY MASONRY UNIT
chequer brick K-1
Work size dimensions (length/width/height): 250 x 120 x 65 mm
K-1: h= 65 mm + 10 mm = 75 mm - the height after bedding with mortar
SHAPE FACTOR
VERTICALLY PERFORATED
CLAY MASONRY UNIT
chequer brick K-3
Work size dimensions (length/width/height): 250 x 120 x 220 mm
K-3: h= 220 mm + 10 mm = 230 mm - the height after bedding with mortar

2.

y 2 - y1 y - y1
=
x 2 - x1 x - x1
Width [mm]
Height [mm]
50
100
150
200
≥250
40
0.80
0.70
-
-
-
50
0.85
0.75
0.70
-
-
65
0.95
0.85
0.75
0.70
0.65
100
1.15
1.00
0.90
0.80
0.75
150
1.30
1.20
1.10
1.00
0.95
200
1.45
1.35
1.25
1.15
1.10
≥250
1.55
1.45
1.35
1.25
1.15
w [mm]
h [mm]
100
120
150
65
75
0.85
0.81
0.85
0.75
100
1.00
0.96
0.90
x – w (width) or h (height)
y – shape factor
K-1: h = 65 mm + 10 mm = 75 mm
the height after bedding with mortar

3.

SHAPE FACTOR - Interpolation is permitted
Width [mm]
Height [mm]
50
100
150
200
≥250
40
0.80
0.70
-
-
-
50
0.85
0.75
0.70
-
-
65
0.95
0.85
0.75
0.70
0.65
100
1.15
1.00
0.90
0.80
0.75
150
1.30
1.20
1.10
1.00
0.95
200
1.45
1.35
1.25
1.15
1.10
≥250
1.55
1.45
1.35
1.25
1.15
Interpolation is a method of constructing new data points
within the range of a discrete set of known data points.

4.

LINEAR
INTERPOLATION
between
two known points
If the two known points are given by
the coordinates (x1, y1) and (x2, y2),
the linear interpolant is the straight
line between these points. For a
value x in the interval (x1, x2), the
value y along the straight line is
given from the
y 2 -equation:
y1 y - y1
x 2 - x1
y 2 - y1
y = y1 +
( x - x1)
x 2 - x1
=
x - x1
which can be derived geometrically
from the figure.
The solution of this equation for y,
which is the unknown value at x,
gives the formula for linear
interpolation in the interval (x1, x2).

5.

0.75 - 0.85
y - 0.85
=
150 mm - 100 mm 120 mm - 100 mm
w [mm] 100
h [mm]
65
75
100
0.85
1.00
120
150
0.81
0.85
0.96
0.75
h = 65 mm
x = w = 120 mm
y – shape factor
0.90
- 0.1 y - 0.85
=
50 mm 20 mm
- 0. 1
y - 0.85 =
20
50
y = 0.85 + (-0.04) = 0.81

6.

0.9 - 1
y -1
=
150 mm - 100 mm 120 mm - 100 mm
w [mm] 100
h [mm]
65
75
100
0.85
1.00
120
150
0.81
0.85
0.96
0.75
h = 100 mm
x = w = 120 mm
y – shape factor
0.90
- 0. 1
y -1
=
50 mm 20 mm
- 0.1
y -1=
20
50
y = 1+ (-0.04) = 0.96

7.

0.96 - 0.81
y - 0.81
=
100 mm - 65 mm 75 mm - 65 mm
w [mm] 100
h [mm]
65
75
100
0.85
1.00
120
150
0.81
0.85
0.96
0.75
w = 120 mm
x = h = 75 mm
y – shape factor
0.90
0.15
y - 0.81
=
35 mm 10 mm
0.15
y - 0.81 =
10
35
y = 0.81 + 0.04 = 0.85

8.

SHAPE FACTOR
Width [m]
100
120
150
0.85
0.75
1.00
0.81
0.85
0.96
100
120
150
1.35
1.31
1.37
1.41
1.25
Height [mm]
65
75
100
Width [m]
0.90
Height [mm]
200
230
≥ 250
1.45
0.35

9.

1.25 - 1.35
y - 1.35
=
150 mm - 100 mm 120 mm - 100 mm
w [mm] 100
h [mm]
200
230
≥ 250
1.35
1.45
120
150
1.31
1.37
1.41
1.25
h = 200 mm
x = w = 120 mm
y – shape factor
1.35
- 0.1 y - 1.35
=
50 mm 20 mm
- 0.1
y - 1.35 =
20
50
y = 1.35 + (-0.04) = 1.31

10.

1.35 - 1.45
y - 1.45
=
150 mm - 100 mm 120 mm - 100 mm
w [mm] 100
h [mm]
200
230
≥ 250
1.35
1.45
120
150
1.31
1.37
1.41
1.25
h = 250 mm
x = w = 120 mm
y – shape factor
1.35
- 0.1 y - 1.45
=
50 mm 20 mm
- 0.1
y - 1.45 =
20
50
y = 1.45 + (-0.04) = 1.41

11.

1.41 - 1.31
y - 1.31
=
250 mm - 200 mm 230 mm - 200 mm
w [mm] 100
h [mm]
200
230
≥ 250
1.35
1.45
120
150
1.31
1.37
1.41
1.25
w = 120 mm
x = h = 230 mm
y – shape factor
1.35
0.1
y - 1.31
=
50 mm 30 mm
0. 1
y - 1.31 =
30
50
y = 1.31 + 0.06 = 1.37

12.

SHAPE FACTOR
100
120
150
65
0.85
75
100
100Width [m] 1.00
0.81
0.85
120
0.96
0.75
200
230
≥ 250
1.31
1.37
1.41
1.25
Width [m]
Height [mm]
Height [mm]
1.35
1.45
150
0.90
0.35