Background: To prevent too much torque having to be transmitted through the gearbox on a gate valve, a shear pin is to be fitted between the hand wheel and the gearbox spindle. When a certain torque is reached the pin should rupture and no torque transmitted. See attachment for reference diagram. Solution needed: What diameter pin to use at certain torque figures? Calculations: There are 2 kinds of shear stress I am considering. Average direct shear stress and Transverse shear stress. Inputs: Output torque of the gearbox: To = 763 N.m (15% SF included) Gearbox ratio: rg = 12 Gearbox efficiency: η = 85% Spindle diameter: ∅D = 0.05 m (Note the spindle would not be threaded as in the picture) Material: SS 304 thus Su = 505 MPa and Ssu = 0.6*505 = 303MPa Average direct shear stress: Ssu = V/A with Ssu the ultimate shear stress in MPa V = Normal load on pin due to torque in N A = Cross sectional area of pin in m^2 V = [(To/(rg*η))/(D/2)]/2 because we have double shear V = 1496.08 N A = ∏p^2 where p is the radius of the pin Thus 303MPa = 1496.08N/∏p^2 so p = 1.25 mm and ∅P = 2.5 mm Transverse shear stress: Ssu = VQ/It = (4/3)*(V/A) 303MPa = (4/3)*(1496.08/∏p^2) so p = 1.45 mm and ∅P = 2.9 mm≈ 3 mm The reason I think the Transverse shear stress should be used is because the pin would not be rupturing linearly, the hand wheel hole diameter would also be larger than the spindle diameter leaving a gap which would cause a bend hence not rupturing the pin due to normal shearing... Due to the fact that we use an M6 bolt and machine it down to get to the right diameter, it is very difficult to keep this peace from deforming as you machine. The solution is to machine it down to a 4mm diameter and drill a hole through the pin! To check the diameter of the hole I used the following equations: Ssu=VQ/(It) with V= T/r/2; Q= y*A; y=(4/3π)*(So²+SoSi+Si²)/(So+Si); A= π*(So²-Si²); I=¼π*(So4-Si4); t=(So-Si) for a input of: So (Outside diameter) = 4mm Si (inside diameter) = 1mm it gives: Ssu = 297 MPa which is more or less the Ssu of the material... I also realise that the material is strain hardening which could cause the material to get even harder during normal working torque so this could affect the Ssu of the material, but I am not o worried about this. Any thoughts or feedback on this problem would be appreciated! Am I over thinking it?
Would the idea of Spiral cut groove total length of shear pin vary the length of the spiral grove to acheive your shear point and mataining your outer dimensions, preventing distortion let me know if this is apropriate in your setup.
Pl. forward this design to my mail id: [email protected]. There I can study this in detail and tell you if there is anything that can better the design. Thanks Pradip
You are not overdoing your thinking. Your attention to detail is quite relevant to the task - well thought out!
This type of shear pin will vary to the hardness of material using metal lathe try a rotation of 2 not for a better word having a mind block 2 rotations to 1 mm of travel and depth and width of your coring, vary this speed to reach desired spiral acheiving your shear pressure you are trying to achieve, this design should eliminate any distortion, depth and width will vary to the hardness of material but don't get to agressive on the cutting depth best answer play with it you'll find it in a few atempts.
