Clearance and pressure in shrink-fit bodies
Enter numbers in BOLD, Results in RED
Loads
Torque to be transmitted (N-mm) torque
Axial force to be transmitted (N) force
Coefficient of friction mu
Operating temperature (oC)  ot
Stress concentration factor at interface edge scf
Rotation speed (rpm) rpm
Outer body input parameteres
Outside diameter (mm) obod
Interface diameter (mm) obid
Plus tolerance (mm) obptol
Minus tolerance (mm) obmtol
Modulus of elasticity (N/mm2) obe
Yield strength (N/mm2) obsy
Poisson's ratio obn
Coefficient of thermal expansion (1/oC) obcte
Density (g/cm3) obrho
Inner body input parameters
Engagement length (mm) L
Intended outside diameter (mm) ibod
Dimensioned outside diameter (mm)
Plus tolerance (mm) ibptol
Minus tolerance (mm) ibmtol
Inside diameter (mm) ibid
Modulus of elasticity (N/mm2) ibe
Yield strength, obsy (N/mm2) ibsy
Poisson's ratio ibn
Coefficient of thermal expansion (1/oC) ibcte
Density (g/cm3) ibrho
Shrink-fit design
Desired assembly clearance at deltaT (mm) ddt
Req. differential temperature if heating outer body (oC) robdt
Req. differential temperature if cooling inner body (oC) ribdt
Press-fit design
Maximum assembly force to press fit (N) Fpfmax
Minimum assembly force to press fit (N) Fpfmin
Interference parameters Eqs Ref
Minimum required interface pressure (N/mm2) rPI
Diff. Poisson radial interference due to axial force (mm) ddp 1
Differential thermal radial expansion (mm) ted 2
Outer body rotating inner diameter radial displacement (mm) robd 3
Inner body rotating outer diameter radial displacement (mm) ribd 4
Tot. add. dia.interference amount to be added (to ibod) (mm) addi
Interference fit calculations (assumes addi has been added to ibod)
Maximum diametrical interference (mm) maxdelta  (See diagrams)
Maximum resulting interface pressure (N/mm2) maxip 5
Minimum diametrical interference (mm) mindelta  (See diagrams)
Minimum resulting interface pressure (N/mm2) minip 5
Min. safety margin (min obtained pressure/required pressure)
Maximum sustainable torque (N-mm) maxt
Minimum sustainable Torque (N-mm) mint
Min. safety margin (min obtained torque/required torque)
Outer body material stresses at maximum interface pressure
Radial displacement of inner surface (mm)
6
Radial press-fit stress at ID (N/mm2) obsr 7
Circumferential press-fit stress at ID (N/mm2) obsc 8
Axial stress from applied axial Force (N/mm2) obsz 9
Shear stress from applied Torque (N/mm2) obtau 10
Max radial centrifugal stress (N/mm2) obrc
Max circumferential centrifugal stress (N/mm2) obcc 11
Max Von Mises stress (N/mm2) obvm 12
Resulting safety factor (Yield stress)/(scf*Von Mises stress)
Inner body material stresses at maximum interface pressure
Radial displacement of outer surface (mm)
13
Radial press-fit stress (N/mm2) ibsr 14
Circumferential press-fit stress (N/mm2) ibsc 15
Axial stress from applied axial Force (N/mm2) ibsz 16
Shear stress from applied Torque (N/mm2) ibtau 17
Max radial centrifugal stress (N/mm2) ibrc
Max circumferential centrifugal stress at ID (N/mm2) ibcc 18
Von Mises stress at ID (N/mm2) ibvm 19
Resulting safety factor (Yield stress)/(scf*Von Mises stress)
Evaluate the stresses at inside, outside and sqrt(DiDo) diameters
Case 1
stresses at outer radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)
 stresses at inner radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)
Case 2
stresses at outer radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)
For the inner body
 stresses at inner radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)
Case 3
For the outer body
stresses at outer radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)
For the inner body
 stresses at inner radius
Radial press-fit stress (N/mm2)
Circumferential press-fit stress (N/mm2)
Axial stress from applied axial Force (N/mm2)
Shear stress from applied Torque (N/mm2)
Radial centrifugal stress (N/mm2)
Circumferential centrifugal stress at ID (N/mm2)
Von Mises stress at ID (N/mm2)