Theatre Design & Technology - Spring 1975 - 23
working out of some construction details, as in the
following structural design problem.
=
Illustrative Example. A rigid balcony of weight W 320
pounds is to be supported by two identical a x b fir cantilever
beams, as shown. A single actor provides a live point load of
P 150 pounds, and the length of the cantilever is L 6 feet.
What is the smallest lumber that should be used for the beams
if their maximum permissible deflection is 1 "Io?
--""~---- - - - - - /
-~---
=
=
L
Solution. The cantilever loading is shown in the right-hand
figure above. From superposition,
0
pL 3
3EI
--+
wL A
BEl
where
W
,
=
w
-
E
1600000 #/in 2 for fir, and
I
3
ab-
2L
p
4P for the live load,
for beams of rectangular section.
12
Then
3
3
4PL
WL
0= --- + --3EI
l6EI
~(4P
EI 3
0
-
and
L
+
~6) ~ .01
so
3
ab
12
I
2
> L
.01E
w)
"'3 + 16
(4P
2
2
72 in
16000 #/in 2
[4(1~0)
320
# + 16
#J
or
3
ab
-
12
For a
~ 71.3 inA
2 inches nominal
b ~
=
=
3
1.625 inches actual,
12(71.3)
1.625
=
For b 9 inches nominal 8.25 inches actual, b===- 8.08
inches, so 2 x 9 lumber is adequate.
Similar results are obtained from wood tables. Staticallyindeterminate structures are somewhat more difficult of
analysis, but they too can be designed with confidence using
structural mechanics.ยท
Technical Administration. Technical directors and
theatre administrators are frequently called upon to
make decisions about the allocation of space, time,
effort, and money. Many such decisions can be
guided by quantitative analysis, but we consider only
one representative example: a problem concerning
~
THEATRE DESIGN AND TECHNOLOGY
B.OB inches.
the acquisition and retirement of capital goods.
Illustrative Example. Two table saws will serve the needs of
a certain sceneshop equally well. The Kerf brand costs $1000
new and can be expected to operate reliably at a yearly cost
now of $20 for maintenance and lost time. When advances in
saw design have rendered the machine obsolete and its parts
unavailable 20 years from now, the Kerf can be scrapped for
200 of today's dollars. The Frek now costs only $250 new, but it
now costs $30 per year to maintain and will be worn out in 5
years, bringing a scrap value of 25 of today's dollars. Which
saw is the best buy for a theatre company which must borrow
the funds for either investment at 15"10 per year, assuming that
inflation decreases the value of money at the rate of 10"10 per
year?
Solution. A comparison of present worths will reveal the
best buy. The preseni worth of the Frek investment is
SPRING.1975
23
Table of Contents for the Digital Edition of Theatre Design & Technology - Spring 1975
Contents
Theatre Design & Technology - Spring 1975 - 1
Theatre Design & Technology - Spring 1975 - 2
Theatre Design & Technology - Spring 1975 - 3
Theatre Design & Technology - Spring 1975 - Contents
Theatre Design & Technology - Spring 1975 - 5
Theatre Design & Technology - Spring 1975 - 6
Theatre Design & Technology - Spring 1975 - 7
Theatre Design & Technology - Spring 1975 - 8
Theatre Design & Technology - Spring 1975 - 9
Theatre Design & Technology - Spring 1975 - 10
Theatre Design & Technology - Spring 1975 - 11
Theatre Design & Technology - Spring 1975 - 12
Theatre Design & Technology - Spring 1975 - 13
Theatre Design & Technology - Spring 1975 - 14
Theatre Design & Technology - Spring 1975 - 15
Theatre Design & Technology - Spring 1975 - 16
Theatre Design & Technology - Spring 1975 - 17
Theatre Design & Technology - Spring 1975 - 18
Theatre Design & Technology - Spring 1975 - 19
Theatre Design & Technology - Spring 1975 - 20
Theatre Design & Technology - Spring 1975 - 21
Theatre Design & Technology - Spring 1975 - 22
Theatre Design & Technology - Spring 1975 - 23
Theatre Design & Technology - Spring 1975 - 24
Theatre Design & Technology - Spring 1975 - 25
Theatre Design & Technology - Spring 1975 - 26
Theatre Design & Technology - Spring 1975 - 27
Theatre Design & Technology - Spring 1975 - 28
Theatre Design & Technology - Spring 1975 - 29
Theatre Design & Technology - Spring 1975 - 30
Theatre Design & Technology - Spring 1975 - 31
Theatre Design & Technology - Spring 1975 - 32
Theatre Design & Technology - Spring 1975 - 33
Theatre Design & Technology - Spring 1975 - 34
Theatre Design & Technology - Spring 1975 - 35
Theatre Design & Technology - Spring 1975 - 36
Theatre Design & Technology - Spring 1975 - 37
Theatre Design & Technology - Spring 1975 - 38
Theatre Design & Technology - Spring 1975 - 39
Theatre Design & Technology - Spring 1975 - 40
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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
https://www.nxtbook.com/nxtbooks/hickmanbrady/tdt_1965May
https://www.nxtbookmedia.com