Calculation of tightening torques and bolt forces
according to Roloff/Matek "Maschinenelemente"
Input data
Bolt type
shank bolts
necked-down bolt
mm
Nominal diameter of the screw thread
d
N
mm
Thread pitch
P
h
mm
Pitch diameter of the screw thread
d
2
mm
Root diameter of the screw thread
d
3
mm
Neck diameter
d
T
mm
Outer diameter of the bolt head or nut
d
w
mm
Through-hole diameter
d
h
mm
Half angle of the thread
β/2
°
Minimum yield strength of the bolt material
R
p0,2
MPa
Minimum required bolt force
F
VM min
kN
Maximum allowable bolt force
F
VM max
kN
Friction coefficient combinations:
Combination number
Friction coefficient for the screw thread
μ
G
[?]
Friction coefficient for the joint face
μ
K
Comment
Calculate
Calculation
Combination number
Allowable bolt tensile stress
σ
M all
MPa
Tensile stress for the minimum bolt force
σ
M min
MPa
Tensile stress for the maximum bolt force
σ
M max
MPa
Allowable stress intensity for bolt
σ
V all
MPa
Stress intensity for the minimum bolt force
σ
V min
MPa
Stress intensity for the maximum bolt force
σ
V max
MPa
Stress efficiency for the minimum bolt force
%
Stress efficiency for the maximum bolt force
%
Results
Combination number
Allowable bolt tensile force
F
VM all
kN
Allowable bolt tightening torque
M
A all
N·m
Tightening torque for the minimum bolt force
M
A min
N·m
Tightening torque for the maximum bolt force
M
A max
N·m
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