Calculated Industries Construction Master 5 4050 User manual

CONSTRUCTION MASTER®5
Pocket Reference Guide
Metric Edition
FAST. ACCURATE. RELIABLE.
Model 4050
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CONSTRUCTION MASTER®5
The Construction Master 5 (Model 4050)
will help you save time, reduce costly errors
and build like a pro!
Quickly Solve:
• Areas, Volumes and Weights
• Circle/Arc Calculations
• Common, Hip/Valley, Jack Rafter
Lengths (Regular and Irregular)
• Stair Layout Solutions
• Rake-Wall Solutions
• Concrete, Flooring Quantity
• Squaring-Up
• Dimensional Problems and Conversions
— Metric, Yards, Feet-Inches-Fractions
TABLE OF CONTENTS
GETTING STARTED.....................................1
Key Denitions ............................................1
Basic Function Keys .................................1
Dimension Keys ........................................2
Arc/Circle Keys .........................................3
Right Triangle/Roof Framing Keys ............3
Stair Layout Key........................................5
Stair Settings.............................................6
Miscellaneous Functions...........................6
Paperless Tape Example.............................8
Preference Settings.....................................9
Entering Dimensions .................................10
Entering Linear Dimensions ....................10
Entering Square/Cubic Dimensions ........11
Basic Math Operations ..............................12
USING THE
CONSTRUCTION MASTER
®
5...................12
Adding and Subtracting
Strings of Dimensions ...............................12
Dividing Dimensions..................................13
Rectangular Area and Volume...................13
Entering Square and
Cubic and Adding A Waste Allowance.......13
Linear Conversions ...................................14
Weight Conversions ..................................14
Weight Per Volume....................................15
Using the Memory .....................................16
Baluster Spacing .......................................17
Number of Studs .......................................18
Circle Area and Circumference .................18
Arc Angle or Degree ..................................19
Concrete Volume for Driveway..................20
Concrete Columns.....................................20
Complex Concrete Volume........................21
Right Angle / Framing................................22
Squaring-Up a Foundation ......................23
Pitch — Converting Roof Angle...............23
Converting Slope.......................................24
Common Rafter Length .............................24
Regular Hip/Valley
And Jack Rafters .......................................25
Irregular Hip/Valley ....................................26
Rake-Wall – No Base ................................26
Stairs .........................................................27
Stairs — Given Rise and Run .................27
Stairs — Given Rise Only........................28
Area and Volume Formulas.......................33
Area Formulas.........................................33
Volume Formulas ....................................33
APPENDIX ..................................................35
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CONSTRUCTION MASTER®5
The Construction Master 5 (Model 4050)
will help you save time, reduce costly errors
and build like a pro!
Quickly Solve:
• Areas, Volumes and Weights
• Circle/Arc Calculations
• Common, Hip/Valley, Jack Rafter
Lengths (Regular and Irregular)
• Stair Layout Solutions
• Rake-Wall Solutions
• Concrete, Flooring Quantity
• Squaring-Up
• Dimensional Problems and Conversions
— Metric, Yards, Feet-Inches-Fractions
TABLE OF CONTENTS
GETTING STARTED.....................................1
Key Denitions ............................................1
Basic Function Keys .................................1
Dimension Keys ........................................2
Arc/Circle Keys .........................................3
Right Triangle/Roof Framing Keys ............3
Stair Layout Key........................................5
Stair Settings.............................................6
Miscellaneous Functions...........................6
Paperless Tape Example.............................8
Preference Settings.....................................9
Entering Dimensions .................................10
Entering Linear Dimensions ....................10
Entering Square/Cubic Dimensions ........11
Basic Math Operations ..............................12
USING THE
CONSTRUCTION MASTER
®
5...................12
Adding and Subtracting
Strings of Dimensions ...............................12
Dividing Dimensions..................................13
Rectangular Area and Volume...................13
Entering Square and
Cubic and Adding A Waste Allowance.......13
Linear Conversions ...................................14
Weight Conversions ..................................14
Weight Per Volume....................................15
Using the Memory .....................................16
Baluster Spacing .......................................17
Number of Studs .......................................18
Circle Area and Circumference .................18
Arc Angle or Degree ..................................19
Concrete Volume for Driveway..................20
Concrete Columns.....................................20
Complex Concrete Volume........................21
Right Angle / Framing................................22
Squaring-Up a Foundation ......................23
Pitch — Converting Roof Angle...............23
Converting Slope.......................................24
Common Rafter Length .............................24
Regular Hip/Valley
And Jack Rafters .......................................25
Irregular Hip/Valley ....................................26
Rake-Wall – No Base ................................26
Stairs .........................................................27
Stairs — Given Rise and Run .................27
Stairs — Given Rise Only........................28
Area and Volume Formulas.......................33
Area Formulas.........................................33
Volume Formulas ....................................33
APPENDIX ..................................................35
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Pocket RefeRence Guide — 2
GETTING STARTED
KEY DEFINITIONS
Basic Function Keys
+-x
*=
Arithmetic operation keys.
0 - 9
and
.
Keys used for entering numbers
O
Off Key — Turns all power off,
clearing all non-permanent registers.
o
On/Clear Key — Turns on power.
Pressing once clears the display.
Pressing twice clears all temporary
values.
Q
Convert Key — Used with the
dimensional keys to convert between
dimensions or with other keys to
access special functions.
e
Square Root Key — Used to
nd the Square Root of a non-
dimensional or area value.
L
Recall Key — Used with other keys
to recall stored values and settings.
N
Memory Key — Adds the displayed
value to Memory. Clears when the
calculator is shut off.
QN
Memory Minus (M–) — Clears
Memory without changing
current display.
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Pocket RefeRence Guide
— 2
QL
Memory Clear (M-R/C) — Subtracts
the displayed value from Memory.
LL
Memory Clear — Clears Memory
and displays Memory Total.
Dimension Keys
y
Yards Key — Enters or converts
to Yards.
f
Feet Key — Enters or converts to
Feet as whole or decimal numbers.
Also used with the
i and / keys
for entering Feet-Inch values
(e.g.,
6f9i1/2 ).
Repeated presses during
conversions toggle between
Fractional and Decimal Feet.
i
Inch Key — Enters or converts
to Inches. Entry can be whole or
decimal numbers. Also used with
the
/ key for entering fractional
inch values (e.g.,
9i1/2 ).
Repeated presses during
conversions toggle between
Fractional and Decimal Inches.
/
Fraction Bar Key — Used to enter
Fractions. Fractions can be entered
as proper (1/2, 1/8, 1/16) or improper
(3/2, 9/8). If the denominator (bottom)
is not entered, the calculator's
fractional accuracy setting is
automatically used.
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Pocket RefeRence Guide — 4
m
Meters Key — Enters or converts
to Meters.
c
Centimeters Key — Enters or
converts to Centimeters.
M
Millimeters Key — Enters or
converts to Millimeters.
b
Board Feet Key — Enters or
converts Cubic values to Board
Feet. One Board Foot is equal to 144
Cubic Inches.
w
Weight Key — Enters or converts
(a volume value) to Tons, Pounds,
Metric Tons or Kilograms.
Repeated presses will cycle through
these units.
Arc/Circle Keys
C
Circle Key —Calculates Circle
Area and Circumference based on
entered Diameter.
QC
Arc — Calculates Arc Length or
Degree, chord length, segment area,
pie slice area, segment rise, and
length of arched segment wall studs.
Right Triangle/Roof Framing Keys
p
Pitch Key — This key is used to
enter or calculate the Pitch (Slope)
of a roof (or Right Triangle). Pitch is
the amount of “Rise” over 12 Inches
of “Run.” Pitch may be entered as:
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Pocket RefeRence Guide
— 4
m
Meters Key — Enters or converts
to Meters.
c
Centimeters Key — Enters or
converts to Centimeters.
M
Millimeters Key — Enters or
converts to Millimeters.
b
Board Feet Key — Enters or
converts Cubic values to Board
Feet. One Board Foot is equal to 144
Cubic Inches.
w
Weight Key — Enters or converts
(a volume value) to Tons, Pounds,
Metric Tons or Kilograms.
Repeated presses will cycle through
these units.
Arc/Circle Keys
C
Circle Key —Calculates Circle
Area and Circumference based on
entered Diameter.
QC
Arc — Calculates Arc Length or
Degree, chord length, segment area,
pie slice area, segment rise, and
length of arched segment wall studs.
Right Triangle/Roof Framing Keys
p
Pitch Key — This key is used to
enter or calculate the Pitch (Slope)
of a roof (or Right Triangle). Pitch is
the amount of “Rise” over 12 Inches
of “Run.” Pitch may be entered as:
a Dimension 25cp
an Angle 30p
a Ratio 0.75Qp
a Percentage 75%p
A Pitch entry will remain in
permanent storage until revised or
reset. A solution will be replaced by
its entered value once the calculator
is cleared.
Qp
Enters Pitch Ratio
(e.g.,
.583Qp ).
r
Rise Key — Enters or calculates
the Rise or vertical leg (height) of a
Right Triangle.
R
Run Key — Enters or calculates
the Run or horizontal leg (base) of a
Right Triangle.
d
Diagonal Key — Enters or
calculates the common or Diagonal
leg (Hypotenuse) of a Right Triangle.
Typical applications are “squaring”
slabs or nding common rafter
lengths.
H
Hip/Valley Key — Calculates length
of the Regular or Irregular Hip/
Valley rafter.
QH
Irregular Pitch — Enters Irregular
Pitch used to calculate lengths of the
Irregular Hip/Valley and Jack rafters.
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Pocket RefeRence Guide — 6
j
Jack Key — Calculates Jack rafter
lengths on the Regular-pitched
roof side.
Qj
Irregular Jack — Calculates Jack
rafter lengths on the Irregular-
pitched roof side.
PRake-Wall Key —
Finds the
stud sizes based on entered Right
Triangle values and the stored
On-Center spacing. If a dimensional
value is entered before pressing
P , that value is considered the
base and will be added to the
stud lengths.
Stair Layout Key
s
Stair Key — Given Rise and/or
Run and entered/stored variables,
calculates or displays:
PRESS RESULT
1Riser Height
2Number of Risers
3Riser Overage/Underage
4Tread Width
5Number of Treads
6Tread Overage/ Underage
7Stringer Length
8Angle of Incline
9Stored Run
10 Stored Rise
11 Stored Desired Riser Height
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Pocket RefeRence Guide
— 6
j
Jack Key — Calculates Jack rafter
lengths on the Regular-pitched
roof side.
Qj
Irregular Jack — Calculates Jack
rafter lengths on the Irregular-
pitched roof side.
PRake-Wall Key —
Finds the
stud sizes based on entered Right
Triangle values and the stored
On-Center spacing. If a dimensional
value is entered before pressing
P , that value is considered the
base and will be added to the
stud lengths.
Stair Layout Key
s
Stair Key — Given Rise and/or
Run and entered/stored variables,
calculates or displays:
PRESS RESULT
1Riser Height
2Number of Risers
3Riser Overage/Underage
4Tread Width
5Number of Treads
6Tread Overage/ Underage
7Stringer Length
8Angle of Incline
9Stored Run
10 Stored Rise
11 Stored Desired Riser Height
12 Riser Height 12 Stored Desired
Tread Width
STAIR DEFAULT VALUES
• 7-1/2” Desired Riser Height
• 10” Desired Tread Width
Stair Settings
You may set “desired Riser height” and
“desired Tread width” to any value by using the
following keys:
Q7
Riser Height — Stores a desired
Riser height other than 7-1/2"
(default). For example, enter
190 mm:
190M .
Q9
Tread Width — Stores a desired
Tread width other than 10" (default).
For example, enter 300 mm:
300M .
Miscellaneous Functions
%
Percentage — Used to nd a given
percent of a number.
B
Backspace Key — Used to delete
entries one keystroke at a time
(unlike the
o function, which
deletes the entire entry).
Q*
1/x — Finds the reciprocal of a
number (e.g.,
8Q* 0.125).
Qx
Clear All — Returns all stored
values to the default settings. (Does
not affect Preference Settings.)
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Pocket RefeRence Guide — 8
Q-
Change Sign (+/-) — Toggle
displayed value between negative
and positive value.
Q+
Pi — Displays the value of π
(3.1415927).
Q>
x
2
— Squares a linear or non-
dimensional value.
Q.
Total Cost — Based on entry of per
unit cost.
Q0
Store Weight per Volume —
Stores a new Weight per Volume
value as listed below:
Note: After entering a value and
pressing
Q0 , continue pressing
the
0 digit key until you’ve reached the
desired Weight per Volume format. To
recall your setting, press
L0 .
• Ton Per CU YD
• LB Per CU YD
• LB Per CU FEET
• MET Ton Per CU M
• kG Per CU M
This value is stored until you change
it or perform a Clear All (
Qx ).
Q5
On-center Spacing (o.c.) — Stores
a new On-center spacing (e.g.,
400MQ5 ). The value is
used for jack and rake wall stud
calculations. Default is 16".
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Pocket RefeRence Guide
— 8
Q= Paperless Tape
— Useful for
checking gures, as it scrolls
through your past 20 entries or
calculations. Press
L= to access
Paperless Tape mode. Press
+
or
- to scroll forward or backward.
Press
= to exit mode and continue
with a new entry or calculation. See
example below.
PAPERLESS TAPE EXAMPLE
Add 6 m, 5 m and 4 m, then access the
paperless tape mode and scroll back
through your entries. Then, back up one
entry, exit the tape mode and add 10 Feet
to the total.
KEYSTROKE DISPLAY
oo 0.
6m+ 6.000 M
5m+ 11.000 M
4m= 15.000 M
L=µ TTL 15.000 M
+ 01 6.000 M
+ 02 5.000 M
+ 03 4.000 M
- 02 5.000 M
= TTL 15.000 M
+10m= 25.000 M
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Pocket RefeRence Guide — 10
PREFERENCE SETTINGS
Press Q, then %, then keep pressing %
to toggle through the main settings. Press
the +key to advance within sub-setting.
Use the -key to back up. Press okey
to exit Preferences.
PRESS Q AND: SETTING/FUNCTION
First press of % :
(Fractional
Resolution)
1/16
+ 1/32
+ 1/64
+ 1/2
+ 1/4
+ 1/8
+ 1/16 (repeats options)
Second press of
% :
(Area Displays)
Std.
+ 0. SQ FEET
+ 0. SQ YD
+ 0. SQ M
+
Std. (repeats options)
Third press of
% :
( Volume Displays ) Std.
+ 0. CU YD
+ 0. CU FEET
+ 0. CU M
+ (repeats options) Std.
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Pocket RefeRence Guide
— 10
PREFERENCE SETTINGS
Press Q, then %, then keep pressing %
to toggle through the main settings. Press
the +key to advance within sub-setting.
Use the -key to back up. Press okey
to exit Preferences.
PRESS Q AND: SETTING/FUNCTION
First press of % :
(Fractional
Resolution)
1/16
+ 1/32
+ 1/64
+ 1/2
+ 1/4
+ 1/8
+ 1/16 (repeats options)
Second press of
% :
(Area Displays)
Std.
+ 0. SQ FEET
+ 0. SQ YD
+ 0. SQ M
+
Std. (repeats options)
Third press of
% :
( Volume Displays ) Std.
+ 0. CU YD
+ 0. CU FEET
+ 0. CU M
+ (repeats options) Std.
Fourth press of % :
( Meter Linear
Displays ) 0.000 M
+ (oatingpoint) FLOAt M
+ (repeats options)
0.000 M
Fifth press of
% :
( Decimal Degree
Displays ) 0.00º
+ (oatingpoint) FLOAt
+ (repeats options)
0.00º
Sixth press of % :
( Fractional Mode ) Std.
+ COnSt
+ (repeats options) Std.
ENTERING DIMENSIONS
Entering Linear Dimensions
Examples of entering Linear Dimensions:
DIMENSION KEYSTROKE
Clear calculator o
17. 5 m 17.5m
Clear calculator o
100 cm 100c
Clear calculator o
500 mm 500M
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Pocket RefeRence Guide — 12
Entering Square/Cubic Dimensions
Examples of entering Square and Cubic
Dimensions:
KEYSTROKE DISPLAY
oo 0.
Enter numeric value and press desired unit
key once to label value as “Linear:”
KEYSTROKE DISPLAY
oo 0.
100M 100 MM
Enter numeric value and press desired unit
key twice to label value as “Square:”
KEYSTROKE DISPLAY
oo 0.
100MM 100 SQ MM
Enter numeric value and press desired unit
key three times to label value as “Cubic:”
KEYSTROKE DISPLAY
oo 0.
100MMM 100 CU MM
Note: If you pass the desired dimensional format,
keep on pressing the dimensional unit key until the
desired result is displayed again.
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Pocket RefeRence Guide
— 12
Entering Square/Cubic Dimensions
Examples of entering Square and Cubic
Dimensions:
KEYSTROKE DISPLAY
oo 0.
Enter numeric value and press desired unit
key once to label value as “Linear:”
KEYSTROKE DISPLAY
oo 0.
100M 100 MM
Enter numeric value and press desired unit
key twice to label value as “Square:”
KEYSTROKE DISPLAY
oo 0.
100MM 100 SQ MM
Enter numeric value and press desired unit
key three times to label value as “Cubic:”
KEYSTROKE DISPLAY
oo 0.
100MMM 100 CU MM
Note: If you pass the desired dimensional format,
keep on pressing the dimensional unit key until the
desired result is displayed again.
BASIC MATH OPERATIONS
Your calculator uses standard chaining logic,
which simply means that you enter your
rst value, the operator (
+ , - , x , * ), the
second value and then the Equals sign (
= ).
A.
3 + 2 = 5.
B.
3 - 2 = 1.
C.
3 x 2 = 6.
D.
3 * 2 = 1.5
This feature also makes the calculator simple
to use for dimensional applications.
USING THE
CONSTRUCTION MASTER®5
ADDING AND SuBTRACTING
STRINGS OF DIMENSIONS
Add the following measurements:
• 850 mm
• 1.2 m
• 600 mm
Then subtract 175 mm.
KEYSTROKE DISPLAY
850M+ 850. MM
1.2m+ 2050. MM
600M= 2650. MM
-175M= 2475. MM
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Pocket RefeRence Guide — 14
DIvIDING DIMENSIONS
Divide 4700 mm into thirds (divide by 3):
KEYSTROKE DISPLAY
4700M*3= 1566.667 MM
RECTANGuLAR AREA AND vOLuME
Find the area and volume:
• Length: 6200 mm
• Width: 3500 mm
• Height: 450 mm
First, multiply the Length times the Width to
ndtheArea.Then,multiplytheAreatimes
theHeighttondtheVolume:
KEYSTROKE DISPLAY
6200Mx 6200. MM
3500Mx 21.7 SQ M
450M= 9.765 CU M
ENTERING SquARE AND CuBIC AND
ADDING A WASTE ALLOWANCE
Add a 10% waste allowance to 5200 sq mm.
Then add a 20% waste allowance to
4500 cu mm:
KEYSTROKE DISPLAY
5200MM+10% 5720. SQ MM
4500MMM+20% 5400. CU MM
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Pocket RefeRence Guide
— 14
DIvIDING DIMENSIONS
Divide 4700 mm into thirds (divide by 3):
KEYSTROKE DISPLAY
4700M*3= 1566.667 MM
RECTANGuLAR AREA AND vOLuME
Find the area and volume:
• Length: 6200 mm
• Width: 3500 mm
• Height: 450 mm
First, multiply the Length times the Width to
ndtheArea.Then,multiplytheAreatimes
theHeighttondtheVolume:
KEYSTROKE DISPLAY
6200Mx 6200. MM
3500Mx 21.7 SQ M
450M= 9.765 CU M
ENTERING SquARE AND CuBIC AND
ADDING A WASTE ALLOWANCE
Add a 10% waste allowance to 5200 sq mm.
Then add a 20% waste allowance to
4500 cu mm:
KEYSTROKE DISPLAY
5200MM+10% 5720. SQ MM
4500MMM+20% 5400. CU MM
LINEAR CONvERSIONS
Convert 3200 mm to other dimensions:
KEYSTROKE DISPLAY
3200M 3200 MM
Qc 320. CM
Qm 3.200 M
Qf * 10 FEET 6 INCH
Qi * 126 INCH
Qy 3.499563 YD
*Repeated presses of f or i will toggle
between Feet-Inch-Fractions and Decimal Feet
or Inches.
WEIGHT CONvERSIONS
Convert 70 kilograms to other weights
(Pounds, Tons, Metric Tons):
KEYSTROKE DISPLAY
oo 0.
70wwww * 70 kG
Qw 0.077162 Ton
w 154.3236 LB
wµ 0.07 MET Ton
*Calculatormaynotdisplaykilogramsuponrst
press of
w ; it depends on which unit was
accessed last. So press
w until desired unit is
displayed, then convert.
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Pocket RefeRence Guide — 16
WEIGHT PER vOLuME
Note: The default setting for Weight per Volume
is 1.5 Tons per Cubic Yard. If you are working with
metric values, you can easily store a new Weight
per Volume value.
Convert 20 Cubic Metres of concrete to Metric
Tonnes, Kilograms, Tons and Pounds, using
the default value of 1.5 Tons per Cubic Yard:
KEYSTROKE DISPLAY
Qx ALL CLEArEd
20mmm 20 CU M
www
(Metric Tonnes) 35.59659 MET TON
w (Kilograms) 35596.59 KG
w (Tons) 39.23852 Ton
w (Pounds) 78477.04 LB
Now convert the above, if concrete weighs
1.4 Tonnes per Cubic Metre, by storing a new
Weight per Volume value. Press the
w key
until the desired unit displays:
KEYSTROKE DISPLAY
1.4
Q0000 @ 1.4 MET Ton Per CU M
20mmm 20 CU M
w (Metric Tonnes) 28 MET TON
w (Kilograms) 28000. KG
w (Tons) 30.86472 Ton
w61729.43 LB
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Pocket RefeRence Guide
— 16
*Calculator will present values in a different
order based on previous computation; simply
continue to press
w key until desired
value is displayed.
uSING THE MEMORY
Whenever the N key is pressed, the
displayed value will be added to the Memory.
Other memory functions:
FUNCTION KEYSTROKE
Add to Memory N
Subtract from Memory QN
Recall total in Memory LN
Display/Clear Memory LL
Clear Memory QL
When memory is recalled ( LN ),
consecutive presses of
N will display the
calculated average and total count of the
accumulated values.
Example:
KEYSTROKE DISPLAY
355N
M+ 355. &
255N M+ 255. &
745QN M- 745. &
LN TTL @ – 135. &
N AVG – 45. &
N CNT 3. &
LL M+ – 135.
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Pocket RefeRence Guide — 18
BALuSTER SPACING
You are going to install a handrail at the
top of a balcony. Your total span is 4000
mm and you would like the space between
the balusters to be about 100 mm. If each
baluster is 40 mm wide, what is the exact
spacing between each baluster?
KEYSTROKE DISPLAY
1. Divide Length by spacing:
oo 0.
4000M*
4000. MM
140M= *
28.57143
(29 balusters)
* Desired spacing plus baluster width
(100 mm plus 40 m)
2. Find total space ‘occupied’ by the balusters
by multiplying the width of each baluster by
the rounded number of balusters:
40Mx 40. MM
29= 1160. MM
3. Find total space between all balusters:
4000M- 4000. MM
1160M= 2840. MM
4. Find actual baluster spacing by dividing
total space between all balusters by the
number of spaces between the balusters
(number of balusters plus one equals 30):
2840M* 2840. MM
30=
94.66667 MM
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