Filt no. 9.2.052 Engineering Applications
AUTOMATIC MINIMUM WEIGHT DESIGN OF STEEL FRAMES R. L. Stone
Division of Applied Mathematics Brown University
Providence, Rhode Island
Purpose: Given the centerline dinlensions of a plane structure and the loads acting upon it, this program computes the bending moment distribution which minimizes the structural weight.
b. Range: Frames up to and including 3-bay, 4_storey or 4_bay, 3-storey.
Accuracy: Not given.
Floating/Fixed: Fixed Point.
Mathematical Method: A method which was devised by J. Hcyxnan and W. Prager of the Division of Applied Mathematics of Brown University.
d. Storage Required: The entire drwn is used.
Speed: Varies considerably with the size of the frame being designed. The following examples are typical:
1. A one-bay, one-storey frame was designed in 3 minutes.
2. A two-bay, two-storey frame was designed in one hour and 45 minutes.
3. A three_bay, three_storey frarn.e was designed in slightly over 4 hours.
Relocatability: Not relocatable.
Remarks: The program is completely automatic, requiring no intermediate intervention by the operator. It consists of 15 subroutines (a total of about 2400 instructions).
f. IBM 650 Systern.: One 533 required.
IBM 650 Library Program Abstracts
Filtno. 9.2.053 Engineering Applications
BPR REVISION OF OREGON HORIZONTAL ALIGNMENT PROGRAM K. F. Kohler
C. L. Borstad Bureau of Public Roads Portland, Oregon
Purpose: This program will compute curve and spiral data. and stationing
~dinates, for curve points of a projected alignment when the coordinates of the P. I. ts are scaled from a,detail map and the degree of curve and length of spirals are assigned.
b. Range: Stationing (S5S5
+
S5.SS). all distances, and coordinates are full~l range and to two decilllal placesi angles (DDDMMSS) and bearing (DDMMSS) are either as indicated or selectable to the nearest 30 seconds or minute.
Accuracy: Consistent with normallllanual methods.
Floating /Fixed: Computations are in floating pointi input and output are in fixed point.
Mathematical Method: Based on Talbot Spiral using 'tArctl definition of circular curve.
d. Storage Required: Approximately 1888 storage locations are used.
Speed: Computing time is approximately 18 seconds per simple curve and
~onds per spiraled curve.
Remarks: The program is written in SIR (2.
o.
001).f. IBM 650 System: One 533 required.
Special Devices: Alphabetic device is required.
IBM 650 Library Program Abstracts
LAND AREA - SURVEY TRAVERSE
Filtno. 9.2.054 Engineering Applications
(Continued on next column)
A. L. Stewart IBM, Tulsa, Oklahoma R. J. Jacobs
Sunray Mid-Continent Oil Company Tulsa, Oklahoma
Purpose: This program calculates area and traverse data for the typical land survey. Input used is standard surveying notation, i. e., metes and bounds, and is in the form of one card per course. Distance may be in either feet or varas. The survey may be a closed traverse or may have one unknown side. Results are punched one traverse per card. If it is a closed traverse, the following information is punched: identification, bearing and length of error of closure, number of measured courses, ratio of precision, and area in acres (after balancing). The adjusted be<}ring and length of each course may also be obtained if desired. If the traverse contains an unknown course, the bearing and length of that course and the area of the traverse including that course are punched in addition to identification and number of measured courses.
b. Range: The program handles any traverse with up to 200 courses.
Accuracy: Distances are given to thousandths of feet or varas and bearings to hundredths of seconds. Area, in acres, is computed to four decimal places. Subroutine functions are computed to nine decimal places.
Floating/Fixed: Not given.
Mathematical Method: Balancing is achieved by means of the compass rule and area is calculated by double-meridian distances (DMO). Library subroutines used are from IBM Technical Newsletter No.9 for sine, cosine, and arctangent. A trace subroutine (IBM Bulletin No. 135) is also included.
d. Storage Required: This program, including subroutines, requires about 1000 storage locations. There are 650 more storage locations reserved for tables.
Speed: Approximately 3000 courses per hour.
Re1ocatability: The program is considered optimized and is not in relocatable form.
Remarks: To obtain correct areas, the courses must be in order; and in any case all the cards for a given traverse must be together. Except for double punches and blank columns, there should be no foreseeable machine stops. Error cards are punched and the program proceeds to the next traverse automatically.
f. IBM 650 System: One 533 required.
Special Davices: Alphabetic device is required.
IBM 650 Library Program Abstracts
GEORGIA EARTHWORK PROGRAM W. L. Anderson
T. R. Smith R. M. Pryor, Jr.
State Highway Department of Georgia H. Wesson
R. Arbuckle IBM, Atlanta, Georgia
FiitJ'lo. 9,2.055 Engineering Applications
Purpose: This program is designed to calculate the following:
For the Design Problem:
Cut, fill, fill plus shrinkage volurn.es Mass ordinates
Slope selection
Slope stake offset and elevation
Summarization of cut and fill volumes at five station intervals For the Final Pay Problem:
Cut, fill, fill plus shrinkage volumes Mass ordinates
Borrow pits b. ~: Not given.
Accuracy: Not given.
Floating/Fixed: Fixed decimal.
Mathematical Method: The average end_area lllethod.
d. Storage Required: Approximately 1,200 storage locations are used for the program and approximately 600 for the tables.
(Continued on next page)
~: Eight to 15 m.inutes per m.ile.
Relocatability: Not given.
Rem.arks: None.
f. IBM 650 System.: One 533 required.
IBM 650 Library Program Abstracts
THREE-POINT SOLUTION D. Geister
Oregon State Highway Department Salem. Oregon
Fileno. 9.Z.050 Engineering Applications
Purpose: This program is designed to compute the coordinates of a point by the Three~Point method. It can handle from three to nine known points computing a solution for every combination of three known points. The selection of the most desirable solution is left to the engineer submitting the data.
b, ~: From three to nine known points are acceptable in the input data.
The output will include every combination of three points.
Accuracy: Not given.
Floating/Fixed: Floating decimal, using SIR.
Mathematical Method: Three-point solution; see the program write~up for further details.
d. Storage Required: 1,700 storage locations.
Speed: Not given.
Relocatability: Not given.
Remarks: Subroutines used in SIR are Float. Fix. Sin, and Cos.. For best results, angles greater than ZOo should be used. Three-point problems in which aU points including unknown are on a circle have an infinite number of solutions, anyone of which the program may produce as its result.
f. IBM 650 System: One 533 required.
IBM 650 Library Program Abstracts
Engineering Applications Fileno. 9. Z. 057MOMENT AND REACTION INFLUENCE LINE ORDINATE FOR SYMMETRICAL 3-SPAN OR 4-SPAN CONTINUOUS GIRDER BRIDGES
J. W. Chambers C. Cook B. Williams Bridge Design Division Alabama State Highway Department Montgomery, Alabama
Purpose: This program calculates moment and reaction influence line ordinate for synunetrical 3-span or 4-span continuous girder bridges with constant moment of inertia, or for symmetrical 3~span or 4-span continuous concrete girder bridges with parabolic haunches at the intermediate supports (with limitations as stated in program write_up).
b. Range: See the program write-up.
Accuracy: All machine calculations are rounded to five decimal places.
Floating/Fixed: Fixed decimal.
Mathematical Method: A variation of the slope-deflection principle, d. Storage Required: Not given.
Speed: Not given.
Relocatability: Not given.
~: None.
f. IBM 650 System: One 533 required.
IBM 650 Library Program Abstracts
STRAIGHT LINE BRIDGE GRID SYSTEM D. L. Herke
Ohio Department of Highways Columbus, Ohio
Fi/tno. 9.2.058 Engineering Applications
(Continued on next column)
Purpose: This program computes the necessary information needed for detailing a tangent bridge. The information calculated includes the following:
1. The station of a point.
Z. The P. G. elevation of a point.
3. A longitudinal distance back to the preceding point.
·L A skewed distance along the centerline of a substructure clement, from one point to the next succeeding point.
5. A final surface elevation.
6. A total skewed distance from a point to the centerline of survey.
b. Ran~c: The maximum number of points on any substructure clement is 20.
Any number of substructure elements are allowed.
Accuracy: All calculations are accurate to at least three decimal places.
Floating/Fixed: Fixed decimal.
Mathematical Method: Elementary arithmetic, algebra and trigonometry.
d. Storage Required: The program requires the first 725 drum storage locations;
subroutines Included require about ~50 additional locations.
Speed: The time required by the program is approximately as foHows:
58 + O. 5n seconds, where n is the number of points to be computed.
Re1ocatability: Not given.
Remarks: Some precautions which should be ob:.erved arc:
1. Negative information must be identified by a negative overpunch in the units position of the appropriate input word.
2. A plus sign need nat be punched for any value other than in the first word of data cards 3 and 4 (column 8). In these words, the overpunch serves to identify the card as having ten words of information in it.
3. ~:n~:~res:~e:~e9~~;;~\::~.eed the problem format. Any Dl distance
f. IBM 650 System: One 533 required.
Special Devices: None required.
IBM 650 Library Program Abstracts
CIRCULAR CULVERT ANALYSLS R.N. Boden
Ohio Department of Highways Columbus, Ohio
Fi/tno. 9.Z.0S9 Engineering Applications
Purpose: This program determines the proper method of analysis for a culvert acting under a given set of conditions and determines the most economical size of circular section.
b. Range: Maximum design discharge is 9999 cis; maximum length of conduit is 999 feet. Circular pipe sizes analyzed by the program range from 12 in.
to 108 in.
Accuracy: Not given.
Floating/Fixed: Fixed decim.al arithmetic is used.
Mathematical Method: Primarily, algebra and trigonometry. Manning's Equation is used to compute the hydraulic values of conduits flowing full.
Chezy's Formula is the basis for computing the hydraulic clements of partially full conduits.
d. Storage Required: 959 drum storage locations are reserved for tables, subroutines and loading routines; 1034 locations arc required for the program.
This leaves seven remaining storage locations; however, additional drum storage space may be found within the area reserved for the Square Root Subroutine.
Speed: This is a function of the type of analysis chosen by the program to compute the hydraulic elements of the conduit.
Relocatability: Not relocatable.
Remarks: The program is primarily designed for checking culvert designs;
however, an additional feature is included whereby a culvert may be designed provi.ding certain conditions exist. SOAP symbolic deck listing is included.
f. IBM 650 System: One 533 required.
Special Devices: Alphabetic device. However, the'program can very easily be revised to operate without this device.
IBM 650 Library Program Abstracts
File no. 9. Z. 060 Engineering Applications
3-SPAN CURVED CONCRETE SLAB BRIDGE PROGRAM (Continued on next page)
154
D. L. Herke
Ohio Department of Highways Columbus, Ohio
Purpose: This program is designed to generate and compute a station number; a profile grade elevation; an X and Y coordinate; and a final surface elevation for a number of specified and given points on the abutments and piers of a 3~span curved concrete slab bridge.
b. Range: The range of the important portion of the input data is as fallows:
For RI - Ro' incl., 0.01 ft. ~ R ~ 316zz6. 00 ft.
00 - I' 0511 :i: D :i: 890 _ 59'59", where D = Degree of Curvature For Sl - SZ' incl., O.OOO:S S
s:
99. 999 For -&, 0 <it-< 89~9'59"Accuracy: The accuracy of the station, the profile grade and the final surface elevations calculations are to ±O. 01 of a foot. The X and Y coordi.
nates are accurate to at least three decimal places.
Floating/Fixed: Computations are made in fixed decimal arithmetic.
Mathematical Method: Primarily, trigonometry is used;.--l!L~lock.ZI of the flow diagram, there is a formula stated as Yk=T r 'Ill - P. Therewere several methods of computing Y at this point. This method was chosen mainly for its ease of handling and its relative simplicity. Another way of accomplishing the same task might be to obtain P as the quotient of TX..;. TR, convert that to an angle -9-in degree", convert~in degrees to -& in radians, obtain the cosine and multiply by a particular radius.
There are two methods for computing the bridge limit on the center line of survey. The method that was used is discussed more fully in Section V of the write-up. The other method is similar to that used for the inner and outer guard rail lengths and is based on the fact that S = R-&. Using this, we may compute B.L. Survey = (-&1 - -&Z3)R l • This is obviously the easier of the two but was discarded in lieu of the standard method to produce a more accurate answer.
IBM 650 Library Program Abstracts
PROFILE GRADE S. E. LaMacchia H.R. Sharp
Ohio Department of Highways Columbus, Ohio
Fileno. 9. Z. 061 Engineering Applications
Purpose: This program computes elevations along the profile grade of a proposed highway for both tangent sections and vertical curves.
b. Range: The maximum number of station equations and odd stations (not evenmultiples of Z5) combined is 600. The maximum number of PVI points·
is 100.
Accuracy: Percent grade is accurate to the nearest 0.001 ft. Other values areaccurate to the nearest 0.01 it.
Floating/Fixed: Fixed decimal.
Mathematical Method: Simple mathematics.
d. Storage Required: 1954 locations.
Speed: Not given.
Relocatability: Not relocatable.
Remarks: None.
f. IBM 650 System: One 533 required.
Special Devices: None.
IBM 650 Library Program Abstracts
Fileno. 9. Z. 062 Engineering Applications
DIGITAL TERRAIN MODEL SYSTEM FOUR POINT POLYNOMIAL INTERPOLATION PROGRAM DA-Z
Massachusetts Department of Public Works
interpolation is used giving a better representation of the terrain than straight line interpolation (used in the DTM HA-Z Program, IBM 650 Library Program File Number 9. Z. 040).
b. Range: 1. The increment between even stations may be any positive, non-zero number.
Z. A profile having any number of points may be used.
Accuracy: The output has as many significant digits as the input.
Floating/Fixed: Fixed decimal arithmetic is used.
Mathematical Method: Aitken's method of iteration is used to compute the polynomial.
d. Storage Required: About ZOO locations are required for program and storage.
However, the program is spread over locations 0000 to 1300 and uses the read and punch areas in the 1950 band.
Speed: The interpolation of a point requires 1.4 seconds. Therefore 43 points peT minute are cOJnputed and punched.
RelocatabUity: Not relocatable.
Remarks: The program has been written to use a standard DTM card format and the standard DTM control panel. However, the program i's not dependent on control panel wiring and any card format may be used providing a corre-sponding control panel is used.
f. IBM 650 System: One 533 required.
Special Devices: None.
IBM 650 Library Program Abstract.
Engineering Applications File no.9. Z.
063DIGITAL TERRAIN MODEL SYSTEM PROFILE SMOOTHING PROGRAM DA-3 Massachusetts Department of Public Works
C. L. Miller R. B. Doggett
Photogrammetry Laboratory Massachusetts Institute of Technology Cambridge, Massachusetts
Purpose: The DA-3 program applies curve smoothing formulas to terrain profiles obtained from DTM programs HA-l. Z. or 3 (IBM 650 Library Program Fill!: Number 9. Z. 040). The output of the DA-3 program is a smoothed profile which can then be used for selecting a vertical alignment.
This program can also take as input its own output so that any particular profile can be resmoothed as many times as desired. Either the 7 points or 11 points smoothing formulas may be selected.
b. Range: No practical restrictions.
Accuracy: The input data are treated as integers. Therefore the output has the same scaling and significant figures as the input.
Floating/Fixed: Fixed decimal arithmetic is used.
Mathematical Method: Standard smoothing formulas using a third degree polynomial over 7 or 11 points are used.
d. Storage Required: The program uses approximately 1000 locations.
Speed: The program requires approximately 6 seconds per profile point.
Assuming points at 100 foot intervals, the program will smooth 12 miles of profile per hour,
Relocatability: Not relocatable.
~ This program operates in conjunction with 9. Z. 040 DTM Horizontal Alignment Program and is one of a series of programs in the Digital Terrain Model System.
i. IBM 650 System: One 533 required.
Special Devices: None.
IBM 650 Library Program Abstracts
Fileno . . 9. Z. 064 Engineering ApplicationsC. L. Miller CONTINUOUS BEAM DESIGN PROGRAM
R. B. Doggett
Photogrammetry LaboratoTY J. C. Porter
Massachusetts Institute of Technology Nebraska Department of Roa.ds
Cambridge, Massachusetts Lincoln, Nebraska
Purpose: This program interpolates centerline terrain elevations on even Purpose: This program calculates moments and shears in a Z. to 5-span stations from a profile given on odd stations. Four point polynomial continuous or framed structure.
(Continued on next column) (Continued on next page)
b. Range: This program was written for bridges having spans of from 15 to 200 feet.
Accuracy: Moments arc generally accurate to O. I ft-kip. Shears are gener-ally accurate to O. I kip.
Floating/Fixed: Fixed decimal.
Mathematical Method: Influence lines are used to calculate end moments, and each span is then treated as a free body.
d. Storage Required: 2000 locations.
Speed: 15 to 20 minutes per span.
Rclocatability: Not rclocatable.
Remarks! This program was written for bridge structures using AASHO loading and specifications. It is recommended that this program be used in conjunction with the Washington State Highways Departmentts "Moment Distribution and Influence Line Calculation" program, IBM 650 Program Library File Number 9.2.033.
f. IBM 650 System: One 533 required.
Special Devices: None.