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THESIS

DESIGN OF CONCRETE AQCH FOR CHILDSDALE ROAD

ROCKFORD, MICHIGAN

A Thesis Submitted to

The Faculty of
MICHIGAN STATE COLLEGE
of

AGRICULTURE AND APPLIED SCIENCE

by

Alan G. Davis

w

Candidate for the Degree of

Bachelor of Science

June 1940

734F573

ca 0‘ l.

ACKNOWLEDGEMENT
The author wishes to thank
Professor C. A. Miller for
his help in the preparation

of this theSis.

DEDIGN OF CONCWETE ARCH FOR CHILDSUALR ROAD
ROCKFORD, EICHIGAN

This particular problem was choosen for a thesis because
of the variety of design problems which must be dealt with. The
wooden bridge which is being used at present is very unsafe for
modern, or any traffic, as part of the timbers have started to
decay. The bridge is only 16 feet wide between railings, thus
making it a one uay'bridge. The floor has been patched in numerous
places. The wooden railing is in.very poor condition and gone
entirely in some places. The floor slants making it very dangerous
when slippery. The bridge is lGO feet long, and slopes slightly
upward from the north end to a point just past the center where it
dips sharply to the south end. A car coming on the bridge from
either direction cannot see the road ahead until reaching the
center of the bridge. It can be seen from this description that
the bridge should be replaced before some accident takes place.
The bridge basses over a Penna. Railroad track which is the main
line between Grand Rapids and Mackinaw City. The angle of
intersection formed by the road and the track is 27% degrees.
This means that the road runs nearly parallel to the railroad.
The toyograghy of the location makes a natural grade segaration.
The bridge is located 1 mile west and g mile south of Rockfbrd
on a township gravel road.

The bridge which was choosen to replace the present
one is a segmental circular arch. This was choosen because of the
beauty of its design and of its adaytaoility to this particular

topography. The arch has a 14 foot rise and a 66 foot eyes. The

approaches are nearly 66 feet long. These dimensions were arrived
at after various designs had been tried in which the stresses
developed were to high. The strength of the concrete to be develoyed
in 23 days is 25d0 lbs. per sq. in. This gives a working stress of
1000 lbs. per sq. in. The working stress of the steel is 2 ,000 lbs.
per sq. in. The n for 2500 lb. concrete is 12. There is 4 feet of
earth between the crown of the arch and the pavement. The pavement
is of the same strength concrete and 1 foot thick. The live load
used was 200 lbs. per sq. ft. In the stress analysis a temperature
rise of 20 degrees and a fall of 60 degrees were allowed for. Tne~
highest stresses develoyed in the bridge under the worst possible
conditions were 388 lbs. per sq. in. for the concrete and l3,463
lbs. per sq. in. for the steel. These stresses are within the
allowable. ‘

The retaining malls for the a,,roaches are of two kinds;
cantilever, and counterfort. at the end of the arproaches zing sills
Crun out rarellel to the track. The wings are cantilever retaining
walls. The railing is of metal with concrete posts and pilasters.
There are two drains on each side of the bridge, one OfifflSitB FuCh
gilaster adjacent to the arch groper. The clear roadway is 18 feet.
The sidewalks are 22 feet wide. The soil is sandy, the angle of
internal friction 41 degrees and the bearing capacity 5 tons per
sq. ft.

The calculations for this project aypear in the following
pages in blue—line prints. The drawings are in the folder in the

back.

COMPUTATIONS 0F CONCRETE ARCH
FOR CHILDSDALE ROAD

ROCKFORD -- MICHIGAN
B Y-' A. 6. D.

T/F/AL /4F?CH .

SPAN'66F7.’ CROWN SECTION ‘IJ‘FZ

RISE-I4F7: SPRING/N6 SECTION '3 FT.’
0 :

INTRAD 3 X)“. y“ 3)‘+ ,_

R=—-;_-7-— ‘ z.., = 45:90Fr

EXT/714005: L 2.
R=135'./6) + (/3744 = 52.63 F7?

 

 

 

Z. x [3.4
ARCH AXIS: 2. z.
R= (“02% jfgi70L = 49.24FZ'
REDUCED LOAD CONTOUR:
41.6) +/- 42’ 8.20(.8)+ / = 254$
fiMfld/HH‘. 3/‘ /o./7(.s)+/= 914’
swoop/2470’ mtg/dbl: II. 10’
547(5):» / = 535’ /5. 60(8)+ /-/3.4e’
663(8) +/ - 6.30’
WEIGHTS:
93” *25'5 ‘4/20/50 =- 35 7e *

”firm mast/5,0 . 37oz “

91112—74451 14/25/450 . 4/52 “

7/0 ‘23" 1 4.129150 = 4740 "

 

‘9'“ 2919— . 4/20/50 =557I’“

 

£921”- 75. map/Jo . 6664‘

 

” 75; "‘14 mast/50 = 603/ "‘

 

#
[flit/2 Hi1. 4./25 (/50 = .9 776

 

11‘11.i.

 

 

   

 

i’- 2500‘ " ,
howl/v —4 -+¢.-+7 ”MW/w "
C
n -.= /Z ,, ' . 4;: I“ fz’+.of30(d.-.Z5')‘
f,=zoooo "/" 7 Hit-l
P =- . ,

I 7 4-43- ”is/1,45

 

70 7716 AREA -225 "'
REDUCED (040 CMOUR:

4M)+/=4-20’ 56/(a)+/=549’ /1.23(6)+/’.9-.96’

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

l5: 673

¢0/(a)+/=42/’ 6.66(e)+/-6.33’ scams). /=//.55’
429(6/Hxéfl’ 7.9.67.6)H-736' /534(a/+/-/527’
selfish/485’ 9.50(.s)+/-a.60’
WEIGHTS = 555 DRAWING
R (ARCH Axxsj- 43 24’ e - 43°53 '
Lcnyfh of arch axis=371 72’
Llnjfh of farf$ :3-77’
ECT z. 6/. 4.7/2 .043 (65,-. 25) t 1: 241' //I
I /3.66 /.5/ .2069 .06827 .355/6 38.458 2.5/55
2 use 1.54 .3044 .07/56 .37592 35.592 2.660/
3 /2.60 /.60 .34/3 .07837 .4/970 30.497 2.3826
4 //.94 I69 .4022 .089/7 .49/40 24.297 2.0350
5 /0.60 /.52 .5024 705.99 .60837 /2 752 /6437
6 9.39 797 .637/ ./2 72/ .76433 /2.265 [3083
7 7.72 2/4 .8/67 75300 .97029 7.956 /0306
s 5.50 2.37 /./093 ./9526 /.30260 4453 .7677
3 3.63 2.60 /.4647 .23747 /. 702/4 2/33 .5675
/0 1.23 2.67 /.9700 .295/7 2265/6 .543 .44/5
7 /73.906 /5 6725
1%: l73-966 /
t '- - L = //./0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

550’ x 7'Z.-t 171' 771 //A
/ /.69 2.56 /0.057 /6.45/ .5945
Z 5.64 2.26 64.6/7 /3.626 .584/
3 9.37 /.70 209/69 6.666 .5643
4 /3.04 .84- 346.034 /.436 .5370
5 76.64 -.30 455. 733 ./46 .5020
6 0/3 -/.7/ 530/50 3.626 .4668
7 23.5/ ~3.36 569.640 //.774 .4325
6 26.75 -5.30 549.334 2/.565 .3933.
9 29.84 -7.47 6’23/2/ 32.763 .3607
/0 62.75 -9.67 473.504 43.007 .3266
DEAD 57/765565 3750.779 /53. 704 4.7636
I489 B384 2 I463 5' 5', = 45.60! K,

 

/3667 72 712

If. . M
[6.5 783 3/6.936

 

384 70 [83 322

3 / / 64 7 M. . ”6.499 4580l'260'1 564‘“

 

762/4 3/0 /92

26056!

 

/2 7666 4/9 698

- /25909 “80

c- £11157=./53”".0/27’
below axis

 

[.92 .952 504892

- 863 365

 

2 72884 562. 480

-I 90/ IBZ. M; --65.9.867-4580/‘/3.6.9

 

36 73.99 564 /02

-2 969 74/ = -30.65/ *' “-

 

Biomumcn-hu/u‘

4 76349 55.9 706

4 l8/ 004 7;= 4:56am: 43'53’65/266660'53'

 

 

 

 

598327 528 286

 

-52 /4 /63 = 66. 549 "

 

 

TEMPERATURE 57355555:

606 60’ FALL

3 3085/5]: _ ”
37/3 774 445/5930 c ‘8“, 5’40 66/... ax}:

H= M'hova-zjvofi IiL = __ 6/ 76 #

/58.¥68

Mac/76 -2.60- 2/263 "'
7: - 6/76x.72075- «5694*
M,-6/76~///0- -.90776 "'

rm zo'fi/SE
Div/dc I, ('3)

UNIT 1.0/40 AT/L

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

55C T ~.-/-w./-(~..-md (mama/2 (ML-476)} ("Mm/i

2 3.44- 9. /5 .- ___5/.6/ 20-86

3 _-_ 7. / 7 77.36”" H /6 0. 04 2 9.04

4 /0.64 22. 06 267. 66 /6.53

5 /4.44 23.74 395.03 - 7/2 ""7
__§_ 5. _/ 7.93 23.46 472.25 «40/2
4 2 /.3/*' _‘2/.96 .. 576.26 ~ 44.22“ _ fl

6 24.55 /6.65 504.24 ~99.9/

9 2 7.64 /6 .24 464. 60 -/2 /.3/

/0 30.55 I3. 49 44/ .60 433/:
ammo/40276. /66.03 33/3. 5/ -407.40

3 2.77 6.60 6/.64 //.22

4 6.44 /3. // / 70.95 / I .0/

5 /0.04 /6.50 2 74.56 -4 .95

6 /3.53 /7.70 356.30 -30.27

7 /6.9/ / 7. 43 ___-_ 409 .76 «569/ 7

6 20/5 /547 ’ “4/362 -6/.99

9 23.24 /3.65 407.32 -/0/.97 2

/0 2645 //.55 .. 376.26 . -//4.00 -
UN/TLOAD Arc. //2.0/ 24 72.63 1/6966

4 2.04. 4/5 “T 54/7 3.49
___5_ 5.64: __:9}Z; ‘_ _’ /54.25 —_* -2. 76
M6 5.73 “1-1.4.9.!“ $3342.35” —20.42
4 . - ’525.’ _ 1339.- __._- 92196--..“ _ '43'57

e /5.75 /2 09 323.4/ _ -64.0§____d

9 /6.54 It?!” 330-33 .-_-_2L_2,_.3.2”.6L~

I0 2/.75 9.60 3/4.40 -94. 75
UNIT LOAD AT 0‘ 7/. 0/ / 7/9. 95 2304. 60

5 /.24 2.04 33.95 -.6/
*6 4. 73 6./9 724.60 -/0.58
_7 6.// 6.36 -.5L / 96.54 2-- _:Z_5.26
i-------’."35 0.7/ 232.99 ~46./6
J ‘ /4.44 6.46 J 253 04 -63.35
“/9 /7.35 7:66” J ____'2"5—’07§7 _. -75. 60 .2:

4/.44 /09l..99 “224.56

U/wr 1.0/70 AT 6;

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6 .33 .43 6.66 -,74
7 3.7/ 3.62 ”"187 69.6/ —/2.9/
6 6.95 5.34 ‘7 /42.65 1 -26.30 .5
9 I004 5.90 /76.06 I ~44.07__ _-.
/0 1 /2.95—~1 5.72 ‘77 /6 7.33 [— T623}; J
UN/TLOAD A”: 2/2/ 604: 7/ -/42.46
6 2.55 /.96 52.43 -/0.39 __
9 5.64- 3.3/ 98.77 ~24.73
/0 6.55 3.77 /23.47 -37.2/
U/v/r LOAD ”6‘ 9.04 274.67 42.33
9 72? "WW—“773 _ I _ ”2776— MT. _ ~5.45
“707“”??? *“‘*‘“7:65 (““5973 ““1““ -IB.06 “7
//VFLU£/VC£' TABLE 2'56 5 "7’ ’23'5’
Uri! taint A; 5., C4. 04. [4, F}. 61-
M. 5.296 3.574 2.265 /.322 .677 .266 06/
f6 I265 /./67 .962 .706 .450 .226 .074
2.14, .442 .329 .229 ./46 .06/ .037 0//
v. .556 .67/ .777"— .654 9/9 .963 .969
@6077; 3.34/ 3.034 2.500 /.64/ /./70 .593 “.797
”M; " L957 .540 -—.235 -.5/9 97493 -.305 -.—/// ‘
97/074. 14-264- /2.954 /0.676 7.659 4.995 2.53/ - .62/
34.08% /5. 063 //.2/2 7.604 4.976 2.760 /.26/ .375
34.625 27.740 20.747 /4./57 6.432 4.060 L277
Ir. 3/.66 27.46 235067 /6.66 /4.26 9766' "17546 ‘
Muir) 2. 745 .260 ~2.333 -4. 523 -5.646 -5600 4.22
imp/7,66) 4.499 5.3/6 5/39 4.205 2.9/2 /.556 .527
{flies ¢ .92 6 .64/ .693 .5/0 .324 ./64 2223.
ism .367 .465 ' 534 .592 .637“ .666 .666
bile/t) /.3/3 L306 722—? /./oz .96/ .632 .739
Iii/55¢ .926 .64/ .693 5/0 .324 ./64 .053
Va 5769 .306 .226 ./59 ./0/ .056 .026 006
@5368 /.232 /.069 .652 .6// 380 ./90 .06/

 

 

 

 

 

 

 

 

 

 

Mg ' filo-2.60M,

E'VS/‘I/¢*HCOJ¢

high/(l: Mull. IOH. #3408 K -/f,_
MJW/yQ-MHHOH. -3406 K,

LIVE PANEL 60270200440660“

 

MAX/MUM LIVE THRUS T 6'- MOMENT

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

U/V/T £0.40 LIVE 1.04/0
“MD/N 6 VALUES STRESSES
MOMENT + A.,6.,A.,6,. 4.994 4395
AT CROWN - 6.0.5. 56 (261.) 3. 326 2927
H. W/TH +M¢ M 4.904 43/6
H. WITH -Mc 4.644 4263
MOMENT + A.,B.,A‘,5,,CR.4£,/§ 27. /6/ 23902
AT SPRING/N6 - 0., 0.,6.,/;,6._ ‘ 6" 2 2. 707 /9 962
THRUST +64. 7.0/4 6/72
THRUST ~M, 4.66/ 42 76
57/7555 SUMMARY 6 U/v/r 57/755525
m0 W/v 7kaF/L'M0MNF c e//. L I. f,
DEAD +4560/ ~564
LIVE +43 /6 +4395
”(A/1:2 +50/I7 4361/ .91" .05! 2525‘
TEMP ~8/78 +21263
(FA/.1.) +4/939 +25o74 7/7” .396 ./32 566
DEAD +4560/ -564
LIVE +4263 —2927
”32‘ +50064 ~35// .84‘547 250
‘ TEMP +2726 -7066
(RISE) +52 790 -/0599 24/" ./34 362.
360/04
JPA’M/GING THRUST- {mm m; c 46 L 7., I;
0640 +66549 -3065/
m7: +6/72 423902
MAX +74 72/ - 6949 /./2" .03/ /90
+66 TEMP +l96$ +30259
(R/St‘) 476686 +233/0 3.65“./0/ 26/
0560 +66549 ~3065/
MAX um: +42 76 -/9.962 ..
_ +726z7 -50633 6.37 .232 .//0 356
M‘ revs/P - 5594 - 90 776
(mu) +67933 —/4/609 .00 .695 .//25 966 6460

 

 

 

 

 

 

 

 

 

 

P=- 0052

 

 

500,4 T/0N5 .-

 

 

 

£ML£MB __ (flLE/"RZY
”L: I H” .3: 3..
22’1” Z<1: *ZSA
Ml.
v°= 32%— 665—
fczutz— (”mg/:96")
AEUTMEIW'
WEIGHTS: '

#
20.33Z+32-33./3./20 = 56673

fizz-“gi- ’ 1050:4742"

 

 

“5057/6 x/50 = /2//6"‘

1: it
3028266" x/50 =/0039

 

175‘" ‘90 x/50 = 2494‘“

 

2
EARTH PRESSURE
€=C¢ 3L Cc =.Z/ ’¢=4/0 LEM/("’75)
Ehn- C¢w= .2/‘/20=25

2:6.le

._ 2561452369327 .5566#

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50/L STRE55£5
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5 A 1: I
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’7 4/0

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74/?CH FET/I/N/Né W/‘IH.

 

 

 

 

 

 

 

 

 

 

 

 

200* ['920'15'1 Ce =2/ Cw: 25
v " P=25‘;°33 = 5/50"
ziQ_. 1‘ 2
25'. 7.92." _ 4
t 7 z ' £6
:5: /8.4/ /8- fl % ‘7- 5/04. "
L 5704; M0777 666.6 6.)
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«7: 73.67

 

d: Vflgéfgkk 2' /4.4” 5a7=/.5'” 0’/8”

74.600945/2-753-770" {V6.46 4”c-C ,4-760"

1r= b :«1 =,—g§—9—7L5=33’/" 0K 50 ‘7” 677....6/2

4.: ‘0‘? x—T—E a253£7= 47fi/D Use [plain rods

Aflcfiovay¢= 40d= 35”
7717/7/59. 56¢2/
00.3 /8~/Z= 154

+276”! frontf=o3
.77. 7. 66.7: = 76‘7 1-4’6643 72”c- c.

,. WW6 WALLS

 

6"” £46m 6 ” C-c

 

 

 

 

 

 

 

I 0032:. 65" /55= /0. / say /0;_/*

7 70¢ =3 ”1/05 3.5—

3000“? [/5 7°= 254/515..- 3000‘

‘:———’—V' 5” _____.________.

G'fié" 37.2. 4. nomad/n 745x6~720= 70440:

3. ’f L Wt .6 36m =/«/45«750= 2/75:
P/OJLH- Wt of base =/l/05"/.5—0 ‘3 /___~_5:__,.73:

/4/<9<9#

 

pt. 0/ a/D/O/I‘COtI'Or]
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'7: =6 74’

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747 66

e = 5.25-5.64 = -.39’ (6. hit 66 CQfltCr}

. 39 /650 hcc/
,0- 1760!?5 It 6763'" = 7052 tot
_ /4/88_'-4 ..
19' ““5366 ‘ /"9

 

6 7%— 575M

 

 

 

 

 

P=—————’5}_’*5 = 2620’“
l = moxfiaa 2 IV a : IV
620' 74.5 d ,M 6.6 563.9 0 /z
4733’ 745-0094029402“ {Um 5'66 4=706"'

 

V:

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2620 ”
m=26 “/ 0‘

 

2620 =60#/a Use f/ain rot/5

A :zfixgzxfi'lé'flg

An

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Tami). Stu/

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70 In back‘ ;' ¢bars /2 'C’ C
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d: 45/9633" =60” 0-9‘"

 

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«rs/1.8750 -56/ UtoD/Z’d-9
V_______ 35_____q__0 ”93747

_ _____ 705z
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(21.67519

74;- .-=00.94x/2x9 /.”02 ””11”": 5’ 0c A=/Oé°

A.

 

:2 35:01::- [8751—5 -W USE Plat/I YOJS
5'

rcmla. Steel "£406” /z"c—c 76,, 5 5666-6”:

 

/690 *7/76. {6. ”E E L

 

 

 

 

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3;; ________ 73/0 v: 470:6: 2460*
Zihg #0”
50 ""' /21.873"7 33/ OK

Use 0: AZ: cal-‘9” £0 make same OJ toe

A: 0094x/ZI92 7.02 M} ”46.4.; 5”C—C Avaéa

 

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unf. 5t¢¢/"‘ 'zl”¢ bows /Z”C‘C 70,9 ‘ aoétom

6M=560x6x.3-340x3-4 =6350’
‘*___ 6’—-——’|-
d= ‘/—é/:"—;—5§— = 6.2' :03 7" arm”

k——3.5’——)« 5’”? z *“"‘T"“, ——'3'—' 59-38

#

7*

flPPRO/ICH WALLS
CANT/LEVER WALL

 

 

 

 

 

 

 

 

 

 

a' I
,le 5.. b05¢=-65/l=.65"20= /3. 00
_ TOG. ' 0:?! f75¢z:-f:3-;43 5;] 4.5
M, P= 2 - 000;“
T—iifl—y .6“ L 5954
722’ #7 4' M .471! Wt‘: 07' bas¢=/3"/.5X/ffl= 2.920;;
17 ‘15 L Wt of stem #6545450: 4/00#
r—/3’——+- Wt wart/7 4042002011192:
2/380#
Mom. aéoué (a)
6000 x74 67- 4642045954 7
7: I4 70

Pf. of afp/icatnpn
2920 (6.5+4/60'5-Z5'4/4300'9.5 =Z/360 ¢

 

 

 

722 5954 4‘: 625
__ . I
e = 6..5'0-6 24-:- 26’ */07
I64 7'
,0: 213380 (/1 6x26) : 744%“? 77.0ch
is: zé}§; ‘ :75 0K
4’ STE/y
7;?! 45%| P " 25-4—22“ 2 = .5200:
F1 '8’: 5' 754*

 

 

4" /65’ Mom. abouf h}
6471A i 46'l26f5/54yr- 5200M: 67
j y: 73. 70’
/ l 7 I

d-W =/4.5/””3az'/5 0:76” a
74,-.0094x/5x72-A70‘ ; How: 4 06 A=/.60

{/54 3,0" I = 5/54- I.
_”3/Z¥375u5:33 / 0" A 325x.575‘:75 ‘77

U ‘7' r J
Anchovayq- (ad: 35'” f” 5083 S¢’0 I! o 6‘
73:150. Stu]

 

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-270 I'll {Von‘é "360”, EL fibers 6” C‘ C
.77. m bQCk=-/aa 21466.»: 72”c-c

TOE

 

225 77». 7:.

~<——-———¢5’—-——-—~~

It
BM=/46/‘4.5t225 *68 ‘45'3 = /59/6

 

 

lgflL- II a g u
d3 /64 ‘9C3x5 507/0 fl /3

7706 <06 v = 7407-45 + 66’%5= 6966‘

7842
N u u i ‘-
4r " /z€:9§;5-.,0 = 667” éut 745/”? 0:75 01:75 U0: 44/‘IJK

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A5 =.0094‘7z-75=7. 70 " 573%“: 4'00 77400"

=____6,266 3 *H" .,,
’“’ 6225:.075t7: 64/ U“ /’/"’ ”d"

 

7507/7. Stac/ éudbars /Z”C"C (0’0 6‘- éoféom

 

 

 

HEEL / 7" t
06 It 7
2675 I"/77”. {t 5”: ’22 7* 7'35- -—3-— 26370
’ 3 2 3 70 8 ” a = a
‘*_ 7 0’ 457‘“, 73.7 :0, 74 0 77

 

 

v - /ZZ7'7-/06 . 7: 7077 *

 

 

 

 

7448‘2"

/660

_ 7047 .. tn" . " a " 3 *"
”'7z:.a75:74‘53 / 00:: 4.437713 0-76 6’75 ~— 50/07<

As=.009¢r/zx75-770”” 1—way: ¢”c-C 77=700a

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.. 7847 .. I" 0” .
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rem/0. 5t¢¢/ '21:],¢0av6 /Z”C'C to/p 6- éottom

COUNTE/‘F- FORT WALL
- 24 /Z’

[52’ 4- /’|~— Thickness of (.[zfg‘h— 273—:
T 547 I5”
Spacing of (IF.

22’50 5.... EMW/é/r =246+276x24-z64
Saya'ou

 

700,54 3.. Wm.
41"__L, 4' dreadt/w of base
0 = €1- é’;¢_‘—L---72’

5:32 2.5
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= 25‘2‘9'“L = 70/00”
F /0/00 ‘/<9.95=46‘/-28+/00543

 

 

 

 

 

 

 

 

 

.1
:254792.‘ ._._ 3
I?» 2 “30:2: y= /.9. /’

Wt afwa/l far ”-71 ff.
72:2. 5x750+24x750+ 24‘2"825‘/50 = 70070:
Wt. 01‘ cart/9

7x20192420 = 2/600“

Pt. 01‘ of; heat/'0”
3/6 70 74 =55" 36 00* 6 “#500 +/.970 ‘ 133*2/600 1‘ 8.5-0

 

¢=7.63’fl
_. x 00
x= 930/70 =2.’94 763 2.--94 4.69’
4.4. “20/“ 70¢

e=6-4.69=7.33’ 7°: 3’?” ——-——/7-*-'—‘-’—,"—£3-’-/=uo .9'105‘/”//¢¢
7g=igggggt=7z7wnmy ~
575M

474925.42: 6357/». “J:-
035164
8M= -——- =‘_70‘—-‘ 4060”.

d- gig-39— . 496”“, 5" Use d=9;’0-721’m'mmum

,4,=.009¢'9v72=707° $3500“ 5”c-c 4:706”

#
y:__‘-9__‘£_ -.- flJiLLzz540

- 540 _ " 0'
M auréarjng Z7 / OK

2540 *‘ 0”
.u, ‘szh‘g’é-r875'9- = 57/ Use def/armed bars

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i .
375/!14/t gflgzaf3‘4.2+id£§£;nggz/jlfl

( ’_.. ...._.,.
4 d: bag/335‘” /4' 0.1/7”
“:4 ' 5‘7

3148 —————— A
\1172.
4420

A;=.oo94x/4r/2=/5'a'"/"Aars 7”c-C ,4-[7/0”
v = 2673 v4*566 :4 #3836"

4'" /‘36‘36 :94*/0 1 flx/‘fl: 27” 0:30,

 

 

 

 

 

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HEfL dcfirmcd Jar:

 

300 “/lm. It.
- 5 1'64- _ *
375%.” a. ABM—3 5;; -/6500

“—— 7’———>-<
/65;Qo II

d‘ /e¢_ 3/fl:0=/4déuf use 0'30

.9“ ___._.___.___.- Wal/ ('5 foo? I.” Ska/1'07 5'
050

2.95: ‘ kc? wi// havcvéo be and.

A5=.009¢~/2-:z7-3.o4°" /é ‘bavs 5”C—c 4:304"
V=2560 ~4=//320"‘

 

 

 

 

 

 

 

 

 

 

_ 11.320 _ aw”
""“ l2n675127 ‘ 4’ / 0":
A'/z{r/:;z7g'rz.7 :‘53/22 Use a/tfirmcd bars
.. COUNTER-FORT
p. M: 5¢oa'f
#
6354* ’92" 8.35:“
857’ j Mom. aboufi é.)
1'..—

 

6400-r/ZZB =46 ~228+9354 y, 7 = /7. 35'
P= 6354-: a = 66532.” #

BM - “2932 want/2 = 6650000” A" £9333” = 7a
Asmaoee x/5'x8/n 5.26”” 5 - 4’42": 24‘9-38‘7'
Plac¢d in two rows “-2” a’adrt

d
u 32. #
var/3%?8873‘sf79 = 64*.takCI-1 Care. “‘33:: .. p '31- fl

9’. """ Use dcfimcdhvs

 

 

Steel to Connect Stcm to Counter-{art
assume. i—"bar: Knuth Strcnyth'%'20,000=l/250#
livelier-4190. =40 d: 30”

Earth FYCJSUVC all lowest foot of stem ‘25'25’2'6‘5050‘t
Spacing: “jg-(51%" ‘Z-ZI’ (/30. la"- Iflax. allowab/c

Shear: 25102 . 7-0vzo #74000”t 1.21.9119. -.- M00"

II

A5000
. 0

1%“= Z/bars

66832- ;: 6 6mm; nacdcd r’ov £¢nsion
l/zé'o 2’ II II II Shear

. 27 bars ~73£al
Spam/79

/0 bars at /0"st.ycm3 y'from bottom
// bar: at /0”s£aytm7 as” {am bottom
Steal to Connect Guntav'Fovt to Base _ a“
P/accd/n pairs 70.315171. vacngtllB 7e.- " 2'2:,000= 22500
Ovarian-fifty mom. when wa.:7= I73 000’ ” I.
Resisting morn- - flgfl(/3,Zg 3%35:4t 4.5:5:$5*67=57W

5haar-‘-’ 66,532.# 00 affair: —%$Jgolo£-_ II 3

Spacing“ 24-1304” at .5}; 1432; 2.53’3'30'45151555’0’
{ram stem running all own, up in CF

I
KEY
4|, ,0: 4.9 “053" -/0000#

Noel ‘
42. ,3, =40 "°;_"a . 4700
t 5900*
I .l
!0
.z/ B’— {3:3/870'.4*5900 a [86

0k
/00.5'4

/0000« 2 =4700 x {3°- + 5900 c,
7= '9" ..
8M = 5900 #06 =025‘0

.. 0 ” a r.- u
d-V—éfifi—=é./a «,7 .0 /0

AS=.00.94'/Z~7= .79” %”¢bars 62‘ c-c 4:492”
Aficfiaraya=40d= 30” Use dc/ovmad bars

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