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- .MCD 25000 0
- .CMD SURFACEFORMAT rot=10 tilt=35 vScale=20 size=15,30 hide=n
- .CMD SKETCHFORMAT mag=1.000000,1.000000 center=0.500000,0.500000 size=15,30 box=y
- .CMD PLOTFORMAT logs=0,0 subdivs=1,1 size=5,15 type=l
- .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=2 mass length time temp
- .CMD SET ORIGIN 0
- .CMD SET TOL 0.001000000000000
- .CMD MARGIN 0
- .CMD LINELENGTH 78
- .CMD SET PRNCOLWIDTH 8
- .CMD SET PRNPRECISION 4
- .TXT 0 0 1 36
- a1,35,78,34
- BOLT TIGHTENING LOAD AND STRESSES
- .TXT 0 41 1 39
- a1,38,61,37
- Copyright (c) 1990 by MathSoft, Inc.
- .TXT 2 -41 1 81
- a1,80,78,79
- This document calculates bolt tightening load and stresses for a given torque.
- .TXT 2 0 1 74
- a1,73,78,72
- Enter bolt torque, thread dimensions, geometry and material properties:
- .TXT 2 0 1 14
- a1,13,78,12
- bolt torque
- .EQN 0 16 1 17
- T:911*lbf*in
- .TXT 0 26 1 13
- a1,12,78,11
- nut height
- .EQN 0 14 1 12
- nh:2*in
- .TXT 2 -56 1 37
- a1,36,78,35
- type of thread (1-single 2-double)
- .EQN 0 42 1 8
- n:1
- .EQN 2 0 3 8
- ß:π/4
- .TXT 1 -42 1 41
- a1,40,78,39
- thread angle (square thread -> ß = 0 )
- .TXT 3 0 1 39
- a1,38,78,37
- largest diameter of the screw thread
- .EQN 0 42 1 11
- d:1*in
- .TXT 2 -42 1 31
- a1,30,78,29
- number of threads per length
- .TXT 0 42 1 23
- a1,22,78,21
- friction coefficient
- .EQN 0 24 1 11
- µ:0.20
- .EQN 2 -57 3 11
- Num:6/in
- .TXT 0 33 2 25
- a2,24,78,45
- mean collar diameter
- (no collar => dc = 0)
- .EQN 0 24 1 15
- dc:1.25*in
- .TXT 4 -66 1 31
- a1,30,78,29
- friction coefficient, collar
- .EQN 0 42 1 12
- µc:0.08
- .EQN 0 39 3 14
- pitch:1/Num
- .TXT 1 -26 1 26
- a1,25,25,24
- Press [Ctrl-PgDn] twice
- .EQN 3 26 1 17
- dr:d-pitch
- .EQN 1 23 3 14
- dm:(d+dr)/2
- .EQN 1 -23 1 17
- lead:pitch*n
- .EQN 3 0 3 8
- α:ß/2
- .EQN 3 0 3 18
- sec(x):1/cos(x)
- .EQN 0 30 5 40
- F:T/(dm/2*((lead+π*µ*dm*sec(α))/(π*dm-µ*lead*sec(α)))+(µc*dc)/2)
- .EQN 5 -30 3 16
- τ.1:(2*F)/(π*dr*nh)
- .EQN 3 27 4 21
- σ:(-2*F)/(π*dm*nh*pitch^2)
- .EQN 1 -27 3 15
- τ.2:(2*F)/(π*d*nh)
- .EQN 1 -32 2 18
- F=?lbf
- .TXT 1 -49 1 21
- a1,20,78,19
- The axial load is:
- .EQN 3 49 4 20
- τ.1=?lbf/in^2
- .TXT 1 -49 1 44
- a1,43,78,42
- The average screw-thread shear stress is:
- .EQN 4 49 4 20
- τ.2=?lbf/in^2
- .TXT 1 -49 1 42
- a1,41,78,40
- The average nut-thread shear stress is:
- .EQN 4 49 4 19
- σ=?lbf/in^4
- .TXT 1 -49 1 40
- a1,39,78,38
- The average thread bearing stress is:
- .TXT 46 5 1 19
- a1,18,16,17
- UNIT DEFINITIONS
- .TXT 0 24 1 23
- a1,22,25,21
- MKS (SI) unit system
- .TXT 3 -24 1 16
- a1,15,13,14
- I. Base units
- .EQN 1 5 1 8
- m~1L
- .EQN 0 18 1 9
- kg~1M
- .EQN 0 18 1 8
- s~1T
- .EQN 0 18 1 8
- K~1Q
- .TXT 2 -59 1 21
- a1,21,19,20
- II. Angular measure
- .EQN 1 5 1 9
- rad~1
- .EQN 0 18 3 15
- deg~π/180*rad
- .TXT 4 -23 1 28
- a1,28,26,27
- III. Derived units: Length
- .EQN 1 5 1 12
- cm~.01*m
- .EQN 0 18 1 13
- km~1000*m
- .EQN 0 18 1 13
- mm~.001*m
- .EQN 1 -36 1 14
- ft~.3048*m
- .EQN 0 18 1 14
- in~2.54*cm
- .EQN 0 18 1 11
- yd~3*ft
- .EQN 0 18 1 14
- mi~5280*ft
- .TXT 2 -59 1 25
- a1,25,23,24
- IV. Derived units: Mass
- .EQN 1 5 2 14
- gm~10^-3*kg
- .EQN 1 18 1 17
- tonne~1000*kg
- .EQN 0 18 1 19
- lb~453.59247*gm
- .EQN 2 -36 3 9
- oz~lb/16
- .EQN 1 18 1 15
- ton~2000*lb
- .EQN 1 18 1 18
- slug~32.174*lb
- .TXT 2 -41 1 25
- a1,24,22,23
- V. Derived units: Time
- .EQN 1 5 1 15
- minute~60*s
- .EQN 0 18 1 12
- h~3600*s
- .EQN 0 18 1 12
- day~24*h
- .EQN 2 -36 1 16
- year~365*day
- .TXT 2 -5 1 34
- a1,33,31,32
- VI. Derived units: Area, Volume
- .EQN 1 5 2 18
- hectare~10^4*m^2
- .EQN 0 36 2 17
- acre~4840*yd^2
- .TXT 3 -37 1 5
- a1,5,3,4
- ---
- .EQN 1 1 2 13
- L~(.1*m)^3
- .EQN 0 36 2 13
- mL~10^-3*L
- .EQN 2 0 2 22
- fl_oz~29.57353*cm^3
- .EQN 3 0 1 17
- gal~128*fl_oz
- .TXT 2 -41 1 45
- a1,44,42,43
- VII. Derived units: Velocity, Acceleration
- .EQN 1 5 3 10
- mph~mi/h
- .EQN 0 18 3 10
- kph~km/h
- .TXT 4 -19 1 6
- a1,6,4,5
- ----
- .EQN 1 1 4 16
- g~9.80665*m/s^2
- .TXT 1 22 1 27
- a1,27,25,26
- (acceleration of gravity)
- .TXT 4 -27 1 44
- a1,43,41,42
- VIII. Derived units: Force, Energy, Power
- .EQN 1 5 4 11
- N~kg*m/s^2
- .EQN 0 18 2 15
- dyne~10^-5*N
- .EQN 1 23 1 12
- lbf~g*lb
- .TXT 1 -1 1 15
- a1,15,13,14
- (pound force)
- .EQN 2 1 1 12
- kgf~g*kg
- .TXT 1 -1 1 18
- a1,18,16,17
- (kilogram force)
- .TXT 2 -41 1 7
- a1,6,4,5
- ----
- .EQN 1 1 1 9
- J~N*m
- .EQN 0 18 2 14
- erg~10^-7*J
- .EQN 0 23 1 16
- cal~4.1868*J
- .EQN 1 0 1 17
- kcal~1000*cal
- .EQN 1 -41 2 27
- BTU~1.05505585262*10^3*J
- .TXT 3 -1 1 7
- a1,6,4,5
- ----
- .EQN 1 1 3 7
- W~J/s
- .EQN 0 41 3 17
- hp~550*(ft*lbf)/s
- .EQN 1 -23 1 13
- kW~1000*W
- .TXT 2 22 1 23
- a1,23,21,22
- (standard horsepower)
- .TXT 2 -45 1 41
- a1,40,38,39
- IX. Derived units: Pressure, Viscosity
- .EQN 1 5 4 9
- Pa~N/m^2
- .EQN 0 18 4 11
- psi~lbf/in^2
- .EQN 0 18 2 22
- atm~1.01325*10^5*Pa
- .EQN 2 0 2 23
- torr~1.33322*10^2*Pa
- .EQN 2 0 2 24
- in_Hg~3.38638*10^3*Pa
- .TXT 3 -37 1 6
- a1,6,4,5
- ----
- .EQN 1 37 4 14
- St~10^-4*m^2/s
- .EQN 1 -36 1 14
- P~0.1*Pa*s
- .EQN 2 0 1 13
- cP~0.01*P
-