draculamedula said:
It is a Probing Stylus,davenn said:
Yes I do, I have problem with the Truncated Cone Part (Tapered Cylinder).Chestermiller said:
So you are able to do the shear load and moment diagrams? If so, how is y'' related to M? What do you think the matching conditions at the junction should be?draculamedula said:
using screw jointsLnewqban said:
What material is the female thread?draculamedula said:
Stainless Steel and yes M4Lnewqban said:
No, I am not able to.Chestermiller said:
Could we assume that the weakest link is the female thread into the ceramic rod?draculamedula said:
For now, consider the beam with no joints. Just assume it as a composite beam.Lnewqban said:
If you have experience doing beam bending problems, what is your difficulty with developing the shear and moment diagrams for this beam?draculamedula said:
I only have a problem with the truncated cone (varying cross-section) part as I have said earlier.Chestermiller said:
The shear and moment diagrams involve pure force and moment balances, independent of the shape of the cone.draculamedula said:
what about the area moment of inertia?Chestermiller said:
That's in the equation relating y'' to M.draculamedula said:
Exactly. How can I find that for a truncated cone?Chestermiller said:
The equation is EIy'' = M. Do you not know how to determine I at each cross section x for a circular cross section?draculamedula said:
The moment of inertia for a truncated cone can be calculated using the formula I = (3/10)mr^2 + (3/20)M(R^2 + r^2), where m is the mass of the cone, r is the radius of the smaller base, M is the mass of the larger base, and R is the radius of the larger base.
The moment of inertia is a crucial factor in determining the bending behavior of a stylus shaft. It represents the resistance of the cone to bending and is necessary for calculating the deflection and stress of the shaft.
The moment of inertia for a truncated cone is affected by both the mass and the distribution of mass. A cone with a larger radius at the base will have a higher moment of inertia compared to a cone with a smaller radius, even if they have the same mass.
Yes, the moment of inertia can be measured experimentally by using a torsion pendulum or a rotating platform. These methods involve measuring the angular acceleration of the cone and using it to calculate the moment of inertia.
The material of the truncated cone does not directly affect its moment of inertia, as it is a property of the cone's shape and mass distribution. However, the material can indirectly affect the moment of inertia by influencing the density and mass of the cone.