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OCR for page 33
APPENDIX A
COMPUTER PRINTOUT OF AN ELASTIC ANALYSIS
This section gives an example of a computer printout of an analysis for a
frame with the extreme columns on one end substantially stiffer than the
rest of the columns (see Figure A-13. This example corresponds to analysis
M-1 presented in Table 2. The frame was analyzed for a 100 OF uniform tem-
perature increase and for a coefficient of thermal expansion equal to 6 per
million degrees Fahrenheit.
200 ft
20
21
1 1 2 2 3
O _ 1 O 1 B
1
Cal
28
-~ ~
3 4 4
5 5 6 6 7 7 8 8 9
1 22 1 23
o ~
39 40
P7; 32 ~ 33
24
25
18
Do
35
36
(D
37
Cal
38
39
41 1 42 27
o ~
35
ma; ~71
F77 29
Ln
f7: 30
a,
25 ft ~
Column Size = 24 24 in.
Area {A} = 576 jn.2
Moment of I nertia I/) = 27648 in.4
m
CD
_
34
/]
t7 36
Beam Size = 14 20 in.
Area {A) = 280 jn.2
Moment of Inertia I/) = 4667 in.4
FIGURE A-1 Elastic analysis of a frame with columns at one end stiffer
than the rest of the columns.
33
OCR for page 34
Analys ~s M- 1
INPUT DATA
PLANE fRAME BY STIFFNESS EQTS M.SOTERIADES 1969
~TRUCiURL I 0. . LOADING NO. 1
STRUCTURE PARAMETERS*
M NJ NR NRJ E _
51 36 27 9 3000000.
- JOI NT COORDI NATES AND RESTRA I NTS ~
JOINTX Y X - RESTR. Y - RESTR. Z - RESTR.
1 0.00 396.00 0 0 0
- 2 300.~O 396.00 - ~O
3 600.00 396.00 0 0 0
_ ~ ~ 4_ 900.00 396.00 Q_ _ _ . Q__ .Q
5 1200.00 396.00 o o o
6 1500.00 396600 0 O O
_ _ 7 1800,00 396.00 - O __ o ~- _ _
8 2100.00 396.00 0 0 0
9 2400.00 396.00 0 0 0
1U 0.~0 ~ /~.~0 ~o
11
12
13
14
-- - 1 5
16
17
~ ~ ~ V ~
1800,00396.00 - O --
2100.00396.00 0
2400.00396.00 0
0.~o~ /~.~e
300.00276~00 0
~on.oo 77~.0(3 ~-
900.00 276600 ~
1200.00 276600 0
1500.00 276.00 o --- o_
1800600 276.00
. 2100600 276.00
- i8 z400.00 ~76~D
19 0.00 156600
~n son.no 1 s~.()o
o
o
- 0
o
o
o
o
_Q
o
o
o
Q_
21600.00156600 0
22900.00156.00 0
?3l^.OQ.00156~00 0
241500600156.00 0
251800600156900 Q
Z~7lUUe00155eVV ~
272400.00156600 0
?80.000.00
29300.000.00
30600.000.00
31 -900.Q00.00
321200.00o.oo
3315QQ~QQQ~QQ
o
Q . . _
o
o
O0 0
00 0
00 0
0 0
_ __Q .__ . ~
O 0
0 0
0 ~-
O 0
~0
u 0
0 0
1 _ . 1 _ . _ ~ . .
1 1 1
1 1 1
1 l---. _. __ _ ~.....
1 1 1
1 1 1
1 1 1
1 1 1
1 1 ~.1
~ - i'OQ~-UV u evu
35 2100.00 0600
36 2400.00 0 . 00
*Legend:
Notes:
M = No. of members in the frame
NJ = No. of joints in the frame
NR = No. of support restraints
NRJ = No. of restrained supports
E = Modulus of elasticity (lb/in.2)
JJ = Left end of member
JK = Right end of member
CX = Directional cosine (x)
CY = Directional cosine (y)
R = End restraint index (zero = fixed at both ends)
W = Dead load
1. Coordinates x and y are entered in
system positioned on joint 28.
2. Member cross-sectional areas A are entered in in.2
3. Moments of inertia of members I are entered in in.4
4. Member lengths are given in inches
5. In general, all dimensions used in
exclusively in inches and pounds
34
inches and-relate to a Cartesian
input and output are
OCR for page 35
MEMBER PROPERT I ES *
I JJ JO
1 1 2
2 3
~.
4 4 ~
6 6 7
7 7 8
- 8 8 9
1 10
2 11
~_
:) 1C
4 13
~ 14
AREAINERT IA LENGTH- -mu--- ~_ _~
280600 4667600 300600 l eu00 O.uOO ~U.~O
280.00 4667.~O 300.~O l.u00 Q.~0 V u.~O
280.00 4667600 300.00 l.oUo u.~d ~.~e
280·00 4667. OO 300. OU 1. JuO u.uvo ~v.U0~
2 80.00 4667.00 300.00 1. You _ ~ . O00__ ~_ ~ . OUO
280900 4667~00 300.00 1.~O U.~U ~U.~0
280.00 4667.00 300.00 1. O.~0 ~Ue00
280.00 4667600 300.~0 1.~0 ~.~0 ~-~U
576.00 0.00 120. OO ~ . 0UV-1 .~O ~ · U00
5 76.00 27648 .00 ~ 20.00 0. 000-1 .000 0 ~ · OOU
576 ~ 00 27648 .00 1 20.00 0 · 000-1 · 000 0 ~ · 000
576-00 27648600 120.~O 0.COO-1.OVO O O.00
576~00 27648~00 120 00 06000-1~000_ 0 _ ~ 000
576~00 27648~00 12() 0~) ()~00~)-1evO() O ()e`)~0
576 · 00 27648 · 00 1 20 ~ t)0 0 ~ 000-1 · Ot)v ~v ~ OL)U
576~0C) 27648600 120~00 06~)CJ0-1~000 O- t)~
576~00 0~00 120.00 O.GO0-1.000 0 O.000
280~00 4667~00 3vO.00 1 -~)QV veOuv ~vaij
1 9 1 1 1 Z ~ Q ~t~ n r~ ~% ~r ~r x r x
20 12 13
2 2 1 4 1 5
23 15 16
24 16 17
2C' 17 18
26 10 19
27 11 20 ~ -~
?8 17 21
29 1 ~22
31 15 24
32--16 25
33 17 26
34 18 ?7
35 19 20
36 '?O 21
37 21 22
38 22 7 -
3Q 23 24
40 24 25
41 25 26
42 26 27
43 1Q ?8------
44 20 29
45 21. 30
.. ..*~. _~._ ._=
47 ?3 32
48 24 33
49 ? 5 34
50 26 35
51 27 ~¢
~ v v _ ~
280.00
280.00
280.00
280.00
280.00
280.00
576.00
_ _ ~ ~
- - - ~ C ~ _ _ ~ _ ~ ~
0-00 120eOO OeGOO~leOOO O
4667~00 3vO.00 1 et)OV v.Vuv ~
4667 ~ O() ^ -
4667~)0
46f,7 ~ 00
v ~ vv~
t) e U
4667 ~ 00 3CJO e ()`J 1 ~ OU;J ~ ~ U~U () 3 e (J~
4667 ~ 00 3(~0 ~ 00 1 ~ 0~)U ~ o'`)0~) ~t) ~ ()00
4 6 6 7 ~ O () 3 () V ~ O () 1 e i~ ~ 0 _ () _ ~ ~ ~ ~
4667 ~ 00 3vO ~ 00 1 ~ v()v~ t) ~ `)Ou O `) ~ vvO
O · 00 1 2() ~ 0~) () ~ wL)v~1 ~ (3U t) U ;1 ~ t)uU
27648~00 120~0~) 0~()~)-1~000 ~J-~35) -
27648 ~ 00 12() ~ (;)() O ~ ()UO - 1 ~ ()~) (3 t) ~ t)ut)
27648.00_120. OO .0. OU0- 1. UO ~ _ ~ uCO
0.000
...... u.uuo
U · U ~ U
· U U
~ · ~U~
U . ~ ~ ~
V · U0V
- ~U~
· UQ
· UU
U ouo
U · OU
~ · V
- u-.-uu~
~ . v~
U-~O
· ~ V
U · ~ U
~-~
~vv~v 1 · vv~ v~vvv
300 ~ OO 1. OUO ~ .000
300.00 1. ~00 0. OUO
v
o
O _
, . v ~ _
576.00
576600
576. OU
576.00
576 ~ f~i
576.00
576.00
80 ~ OO
283.00
280.00
2fSi
280.~o
280.00
280.00
280.00
5-76. OO
576.00
576.00
576.0J
576.00
57.6..00
576.00
576.00
~7t _nr~
27648. OU r2-O ~ J-~-
27648.00 120.00
27645~(~ --12~).~d
27648.00
O.00
- 4667.00
4667 - OU
4667.00
=~67 - 00-
4667 ~ 00
46.67.e 00
4667.~u
4667~00
... . ~ . oU
27648.00
7 764R .00
u.-~-r~~--~~~
~ . 000-1 . 00, ~
~,~_l.u~
O.~00-1 .000
u. OUO-1 ~ ouv
C.,
1. oUG ~ ~ OuO
1 ~ U~O u . ~uv
l . OuO u .'uCo
1 . i~ ui' '0 . O'JV ~ ~
l.uJO u.Ovu u
1. uCO ~ . OUO O
1 e ~)~J~ ~J ~ O;)0 t
1. v`)o U . ()~() (,
0.OvO-l.~U
v .000-1 ~ 000
O.~-1.000 ~
27648. ~- - t55-.~d -v . ~u - -~-.~-- --~--
27648.~O 156.JU
...276.~.00 156.~O
27648.~0 156.~O
27648.00 156. ~ ~
~ ~ ~-> f +~V - _ _ _ ~ ~ 00
120.00
120 · O
3~O . ~ ~
3Uu. JO
3uu .0u
36C . i30
30~.~u
300.00
300. Ou
300.00
156.~O
156.00
156.OV
_
. Uuo-1 · ~d
J. uu0-1 · U00
. u ~ ~-1 · Uo ~
. ~ou-1 · ~U
~ 56 ~ OO - -~.-~O-1 ~ OU ~
u
U
. . ... . . ... . . _.. _ ..
LOAD DATA
-~-3ADED -JO I NFSC_- o - - - -- -- ---- --- ---- - - - -
LOAD~D MEMBS. = 0
( Dl STR. L- O CONCEN. L=
UNIFORM TEMP. CHANGE=lOO DEGREES
COEFF._OF_THERMAL EXPANSION= 6.000_PER MILLION' DEGREES _ _ _
*See Legend, p . 34 .
O OTHER L= 0 J
35
OCR for page 36
OUTPUT DATA
-~-- DISPLACEMENTS
J O I N TD I R EC T I ON- X
270.6006209E 00
26^ ^ ~
250~2678654E 00 0.9373797E - 01
24_0.1304534F, 00 0.9374416E - 01
23-0.1678797E - 07 ~r.9374802E - 01
22- 0.1304534E 00 0.9374417F - 01
? 1 _n o~7~aF nQ
20
19
. _
D I R EC T I ON-Y
0.9349361E-01
~_ ~ ~ ~.
D I R E C T I ON - Z
0.1217476E - 02
u . ~ ~ u ~ ~ u'¢ · ~ ~-~->7m¢T~-~r ~~r-=~ 18 E-O-~
-0.1 ~ 78297E-02
-0.7919014E-03
J.14~58-81 E_09
0.7919017E - 03
~O .9373797 E-01 0.1578~-~-
-0 *4206209E 00
-0 ~ 6006209E 00
0.9335021E-O1
069349361E-O1
~_ ~ _ . ~A ~ ~
0~2433519E-02
-0.1217476E-02
1 ~U. t~1 IO~C VU U-lO~OC UU 0.1052131E-03
17 0.5517835E 00 0.1653390E 00 -0~2089101E-03
_ 16 0.3677876E 00 0.1657378E 00 - 0.2370321E - 03
15
14
~ _
O · 1836831 E 00 0.1657527E 00 ~0 ~ 13797~=E-~3
-0~3231054E - 07 0.1657592E 00 0.1037993£ - 09
_ 1-~ _ - 0.1836831E QO 0.1657527E 00 _0.131975aF 0^~
-0 ~ 3677877 E 00
-0 ~ 5517,836E 00
_.. ~.~_
~2
11
- 10
9
8
_ 7
6
0.1657378E 00
Q.1653390E 00
~.,,, ~, _ ^ ~_
0 ~ 2320323E-03
0 ~ 2089104E-03
-V · 1 ~ ~ _ ~
0 ~ 7292213 E 00 0.2374945 E 00 -0.5875955 E-04
0~5492213E 00 0.2373495E 00 0.1189688E-03
u.~e /~4iE u~ ~.2377333FOO 0.~726945E~-4
0~1842663E 00 0.2377463E 00 0~5139868E - 04
_n ,. ~ ~ 0 ~ m~ r_~ 7 ~ _ ~ ~ 77~ ^, ~ F ~n _ n~5QQ1 ~QF_ ~ n
~r ~ r c_ ~ ~., _ v ~r ., ~ ~ I ,~ ~ J 1_ V V - --~V~ ,t, V - -
4 - 0 ~ 1842664E 000.2377463 E OQ - 0.5139855E-04
3 -0 ~ 3675841 E QO0.2377333 E 00 -0.9926933E-04
~_ ~ ~ ~ ~ ~ ~ ~ ~ ~ _ ~ A
1
-u ~ ~~c'i - ~
-0 · 7292214E 00 0. 2374945E 00 0. 5875952E-04
36
OCR for page 37
OCR for page 38
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