Bolt Connection Calculators

Taper Connection Tightening Force

In this calculation, a bushing having a tapered junction with a shaft with a diameter D, having conical end of length L and cone apex diameter d is considered. The shaft is under the action of torque T and kept from slipping by the frictional force generated by the torque of the fastening axial bolt. As a result of calculations, the tightening force F ensuring the operability of the connection is determined.

For the calculation, the friction coefficient of the contacted surfaces μ and dimension l₁ (look at figure) should be specified.

The tightening torque of the thread can be calculated here.

Tightening Force Calculation of the Conical Connection

Tightening Force of the Conical shaft

INITIAL DATA

D - Shaft diameter;

d - Shaft end diameter;

L - Cone length;

l₁ - Length of the axial projection of the contact surface;

μ - Coefficient of friction on the contact surface;

T - Torque.

RESULTS DATA

F - Tightening force.

Metric Imperial

Diameter (D)

Diameter (d)

Length (L)

Length (l₁)

Torque (T)

Friction coefficient (μ)

Tightening force (F)

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BASIC FORMULAS

Tightening force:

F = [2*1.4*T / d] / [μ / ([D - d] / L) + μ]

INITIAL DATA

D - Shaft diameter;

d - Shaft end diameter;

L - Cone length;

l₁ - Length of the axial projection of the contact surface;

μ - Coefficient of friction on the contact surface;

T - Torque.

RESULTS DATA

F - Tightening force.

COEFFICIENTS OF FRICTION

Friction contact materials	Surface conditions	Friction coefficient
Steel-Steel	Dry	0.15
Steel-Steel	Greased	0.11
Steel – Cast iron	Dry	0.3
Steel - Copper	Dry	0.36
Steel - Copper	Greased	0.19
Steel - Bronze	Dry	0.12
Steel - Bronze	Greased	0.09
Steel - Brass	Dry	0.35
Steel - Brass	Greased	0.19
Steel - Titanium alloy	Dry	0.3÷0.7
Steel - Aluminium alloy	Dry	0.61
Bronze - Bronze	Greased	0.1
Cast iron - Bronze	Dry	0.22
Cast iron - Bronze	Greased	0.08
Cast iron – Cast iron	Dry	1.1
Cast iron – Cast iron	Greased	0.1
Aluminium alloy - Aluminium alloy	Dry	1.2
Aluminium alloy - Aluminium alloy	Greased	0.3
Titanium alloy – Titanium alloy	Dry	0.5

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