Theatre Design & Technology - Spring 1988 - 14

Unit

A

Frame

Deck

I" H 2" 16 ga
steel tube

1/4+5/0
ACH ply

Frame
Joinery
Welded

Deck/Frame
Fasteners
I" # 1D

Weight
wi Legs
14D Ibs.

tek: screws
9" o.C.

0

5/4

H

2"

wi 1/4"

H

3/4 ACH
ply

5/0" steel

3" #7

screws
Welded

2" #7
screws

113 Ibs.

6" o.C.

C

2

H

4 SPF

3/4 ACH
ply

16d
coated
nails

Od coated
OBiis
6" o.C.

I 1 I Ibs.

D

2

H

4 SPF

3/4 DSB
f1akeboard

16 d
coated
nails

Od coated
nBils
6" o.c.

121 Ibs.

Table I: Construction Note Summary

TEST RESULTS & DISCUSSION

The dynamic response of the platforms describe in Table I
was obtained by a drop-weight test procedure. Two different weights were employed. One was fabricated from
lead shot (spherical pellets of 0.125" diameter) contained in
a flexible cloth sack and had a total weight of 20 pounds.
The other weight was composed of 0.125" diameter steel
shot contained in a stiff, leather bag which produced a total
weight of 30 pounds. These containers were dropped from
specific heights (12,24,36 & 48 inches) onto the center of a
4' x 4' section of the 4' x 8' platform decking. Five drops
were made with each weight at each height increment
above each platform configuration. Figure 4 presents a set
of typical center deflection-time histories for the four platform configurations. The example shows the results obtained in dropping a 30 lb. leather bag from a height of 36".
The significance of the dynamic deformations of the
platforms tested can best be illustrated by comparing the
deflections at the center of the deck to those obtained in
static load tests. Table IT is a presentation of the center
deflection of a 4' x 4' section of the 4' x 8' platforms under
consideration. These deflections are caused by dead
weights applied over Test Area 1 noted in Figure 1. By
plotting the load associated with each of the deflections, an
empirical equation results which relates the applied load
to the center deflection. Figure 8 illustrates this process for
the data of Platform A. The equation of the straight line
drawn through this data is found to be:

foot-pounds (ft.-lb.). This energy is due to the velocity of
the dropped weight just before impact with the platform.
Of significance is the fact that a 20- or 30-lb. weight
dropped from a height of 3 or 2 feet, respectively, above a
modular stage platform can produce a center displacement
equivalent to a 1000 to 2000 Ibs. static, central force.
As an example, in Figure 4 we note that the maximum
center deflection of Platform B is approximately 0.610". It
would take a static load of nearly 1892 Ibs. (0.610 x 3102)
applied at the center of the platform test area to produce
this same center displacement in Platform B. This implies
that the dynamic effects of the drop weights used in this
test sequence produce results ten times more severe than
the range of static loads previously investigated.
It is also important to note that the results of Table ill
once again illustrate that the equivalent static load is
dependent upon the nature of the structure and its material as well as the nature of the impacting object. This
implies that a 150 lb. individual jumping from a 12" height
onto a stage platform will most probably produce a totally
different deformation response than a 30 lb. weight
dropped from a height of 5', even though they would
possess the same initial impact energy.
INOTE: The reader should understand that extrapolation of the
linear equations representing static load-deflection characteristics actually will produce a poor representation of the equivalent
static load, because dynamic loads deform the materials of the
platforms at very high rates which tend to change the mechanical
properties of the materials and the manner of deformation. I

In order to standardize the test sequences and correlate
the influences of the objects dropped onto the platforms it
is useful to define the impact energy of the object before it
strikes the deck. Simply; the impact energy due to the
motion of a falling weight will be the product of its weight
times the height of the drop.

Table II: Deflection Response of Platform Configurations Under Static
Load

Test

Static Load

Deflection

R

100
200
300
400

.0276
.0561
.0866
.1181

100
200
300
400

.0184
.0552
.0843
.1260

100
200
300
400

.0292
.0575
.0849
.1151

100
200
300
400

.0163
.0337
.0567
.0769

Lo ad-Deflection
Relationship

L = 3384 (D)

Applied Load (1) = 3385 x Center Deflection (D)
8

This implies that for an equivalent static situation, if the
center deflection measured 0.10", the applied load at the
center of the test area would be close to 338.5 Ibs. Similar
relationships can be found for each of the platforms tested.
These equations and extrapolation can be used to produce
dubious approximations of the magnitude of the dynamic
force during the impact event.
Table ill presents the results of employing the empirical
expressions of Table IT to define the "equivalent static load"
necessary to produce the center displacements measured
in the dynamic impact tests. The dynamic data used in
Table ill represents a common initial input energy of 60
12

TD&T'

SPRING 1988

C

0

L = 3102 (D)

L = 3497 (0)

L=5127(O)



Table of Contents for the Digital Edition of Theatre Design & Technology - Spring 1988

Contents
Theatre Design & Technology - Spring 1988 - 1
Theatre Design & Technology - Spring 1988 - 2
Theatre Design & Technology - Spring 1988 - 3
Theatre Design & Technology - Spring 1988 - Contents
Theatre Design & Technology - Spring 1988 - 5
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