Theatre Design & Technology - Winter 1991 - 61

COMPUTERIZED BEAM SECTION CALCULATION TABLES
Table 1. Height and Base Calculator
B1:
.'13:
M:
.'15:
.'16:
AS:
BS:
.'19:
B9:
.'110:
B10:
All:
Bll:
.'112:
B12:
.'113:
B13:
.'114:
B14:
.'115:
B15:
.'116:
B16:
.'117:
B22:
B23:
B24:

Beam Section Calculator - by Douglas J. Rathbun
Input Height:
Input Base:
Input Field:
Input PC:
11F

+B24
Throw
@ROUND(@S RT«(B3-6)'(B3-6)+B4'B4»,2)
Width
@ROUND«BS'B9),2)
Elevation Angle
@ROUND( (@ATAN( ( (B3-6) /B4) ) ) - (lS0/@PI) ,2)
Towards Focus
@ROUND«B9'(@SIN«B5/2)'0.0174533»)/(@SIN«IS0-(B11+
(B5/2») *0.0174533» ,2)
Away From Focus
@ROUND( (B9* (@SIN( (B5/2) *0.0174533) ) ) / (@SI « (1S0- ( (lSOBll) + (B5/2») *0.0174533»),2)
Total US & OS
+B12+B13
Head Shadow
@ROUND(6'(@SIN«lS0(90+B11»-0.0174533»/(@SIN(B11'
0.0174533»,2)
ft/cd cosine
@ROUND«(B6/(B9'B9»'(@COS«Bl1'0.0174533»»,2)
ft/cd f1aB17: @ROUND(B6/(B9'B9),2)
10'(@SIN«(B5/2)'0.0174533»)
+B22/«@SIN«lS0'0.0174533)-«(B5/2)*0.0174533)
(90'0.0174533»»)
@ROUND«(B23*2)/10),2)

Table 2. Elevation Angle and Base Calculator

B9:
.'110:
B10:
All:
B11:

@ROUND«B4-6)'(@SIN(90-0.0174533»/(@SIN(B3'0.0174533»,2)
Width
@ROUND«BS'B9),2)
Base
@ROUND«B4-6)'(@SIN«lS0-(B3+90»'0.0174533»/
(@SIN(B3'0.0174533»,2)
Towards Focus
@ROUND«B9*(@SIN«B5/2)*0.0174533»)/(@SIN«lS0-(B3+
(B5/2»)*0.0174533»,2)
Away From Focus
@ROUND ( (B9* (@SIN ( (B5/2) '0.017 4533) ) ) / (@SIN ( ( (lS0- ( (lS0-B3)
+ (B5/2) ) ) *0.0174533) ) ) ,2)
Total US&DS
+B12+B13
Head Shadow
@ROUND(6'(@SIN«lS0-(90+B3»-0.0174533»)/
(@SIN(B3'0.0174533»,2)
ft/cd cosine
@ROUND«(B6/(B9'B9»'(@COS«B3*0.0174533»»,2)
ftlcd flat
@ROUND(B6/(B9*B9),2)
SCREEN
10*(@SIN«(B5/2)*0.0174533»)
+B22/«@SIN«lS0*0.0174533)-«(B5/2)*0.0174533)+
(90*0.0174533) ) ) ) )
@ROUND«(B23*2)/10),2)

.'112:
B12:
.'113:
B13:
.'114:
B14:
.'115:
B15:
.'116:
B16:
.'117:
B17:
.'121:
B22:
B23:
B24:

Table 4. Trigonometry Formulas

Pythagorus
HYP

~

square root (a-+b)

or

= square root. (height +base )

Throw Distance

Right Angle Trig
SIDE OPPOS ITE A
SIN A

a

~

HYP
B1: Beam Section Calculator - by Douglas J. Rathbun
.'13: Input E Angle:
M: Input Base:
.'15: Input Field:
.'16: Input PC:
AS: MF
BS: B24
.'19: Throw
B9: @ROUND«B11-6)*(@SIN(90*0.0174533»/(@SIN(B3-0.0174533)),2)
.'110: vlidth
B10: @ROUND«BS*B9),2)
All: Height
Bll: @ROUND«B4*(@SIN(B3*0.0174533»)/(@SIN«lS0-(90+B3»'
0.0174533»+6,2)
.'112: Towards Focus
B12: @ROUND«B9*(@SIN«B5/2)*0.0174533»)/(@SIN«lS0(B3+(B5/2»)*0.0174533»,2)
AD: Away From Focus
B13: @ROUND«B9*(@SIN«B5/2)*0.0174533»)/(@SIN«(lS0-«lS0B3)+(B5/2»)'0.0174533»),2)
.'114: Total US&DS
B14: +B12+B13
.'115: Head Shadow
B15: @ROUN (6*(@SI «180-(90+B3»*0.0174533»/(@SIN(B30.0174533»,2)
.'116: ftl cd cosine
B16: @ROUND«(B6/(B9*B9»*(@COS«B3*0.0174533»»,2)
.'117: ftlcd fla
B17: @ROUND(B6/(B9*B9),2)
B22: 10*(@SIN«(B5/2)*0.0174533»)
B23: +B22/«@SIN«lS0*0.0174533)-«(B5/2)*0.0174533)+
(90-0.0174533»»)
B24: @ROUND«(B23-2)/10),2)

Table 3. Elevation Angle and Height Calculator
B1:
.'13:
.'14:
.'15:
.'16:
AS:
BS:
.'19:

Beam Section Ca1cu1a or - by Douglas J. Rathb n
Input E Angle:
Input Height:
Input Field:
Input PC:
l·lF

+B24
Throw

c

SIDE OPPOSITE !\

b

SIN B =
HYP

c
b

SIDE ADJACENT ."
COS A

~

HYP

c

SIDE ADJP.CENT B

a

COS B =
HYP

c

OPPOSITE
TAN A

~

----

.WJACENT

a
~

-

b

b
ADJ."CENT
TAN B = - - - - = OPPOSITE
a

Law of Sines
b

a

c
or

SINA
a

SI B
SINA

SINC
b

SINB

SINB

c

SINC

a

SINA

and

and
c

SINC

Law of Cosines
a2
2
c2

b2
a2

c 2 - 2bc COS A
c 2 - 2ac COS B
2
a + b 2 - 2ab as C

Those interested in LITE 7.0 or 7.5 should direct their inquiries via
Callboard (DJRathbun) or to Douglas J. Rathbun c/o Mount Royal
College. Department of Fine and Performing Arts, 4825 Richard Rd.
SW. Calgary. Alberta. Canada. T3E 6K6; phone 403-254-6139.
T D & T

1991 WINTER

59



Table of Contents for the Digital Edition of Theatre Design & Technology - Winter 1991

Contents
Theatre Design & Technology - Winter 1991 - 1
Theatre Design & Technology - Winter 1991 - 2
Theatre Design & Technology - Winter 1991 - 3
Theatre Design & Technology - Winter 1991 - Contents
Theatre Design & Technology - Winter 1991 - 5
Theatre Design & Technology - Winter 1991 - 6
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Theatre Design & Technology - Winter 1991 - 8
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1981summer
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1981spring
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1979winter
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1979fall
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1979summer
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1979spring
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1978winter
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1978summer
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1978spring
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1977winter
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1977fall
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1977summer
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1977spring
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1976winter
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1976fall
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1976summer
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1976spring
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1975winter
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1975summer
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1973Dec
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1973May
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1973Feb
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1972Dec
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1972Oct
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1972May
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1971Dec
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1971Oct
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1966Dec
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1966Oct
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https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1966Feb
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1965Dec
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1965Oct
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