Recent content by Divya Shyam Singh

  1. Divya Shyam Singh

    Why is the addendum of the gear kept equal to the module?

    Section 3.2 "To reduce the varieties of gears to a manageable numbers, standards are evolved. Standard makes it easy for design, production, quality assurance, replacement etc. Three commonly used pressure angles are 14.5o , 20o and 25o pressure angle systems as shown in Fig. 3.3. In this, one...
  2. Divya Shyam Singh

    Why is the addendum of the gear kept equal to the module?

    In general calculations of gear design, addendum is taken as a factor of the module of the gear such as equal to module or 0.8 times the module and dedendum is taken as 1.25 times the module. Why are both these defined in terms of module? How did we reach to this conclusion?
  3. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    Yes, upto some degree. I managed to calculated the stress field at every position of the beam. However there will be some highly non linear stress field in the vicinity of the interface. I am pondering about the same, how to calculate the non linear stress near the interface... any thoughts?
  4. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    Yes, actually this is the actual problem i am working on. Thanks for your help so far. I have assumed that the stress at the beam interface with larger area will be the same as the beam with smaller area. After going the distance equal to its thickness(according to St, Venant principle), the...
  5. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    https://postimg.org/image/arh46w7lh/ This is the link to the image.
  6. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    We know the Youngs modulus and all the dimensions of the beam. We know the force applied. We have to find airy's stress function, stresses, strains and displacement functions. If i could solve for stress, i would be able to solve for the rest of them.
  7. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    Also, please do explain the method for (2)
  8. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    Thanks for your reply I already did the first way but i am not getting a proper result. I would like to add one more detail to the problem. The areas of the two beams are different. Because of this, there will be a discontinuity in stresses at the interface however the force would be same. So...
  9. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    Thank you for your time. I have done some stress calculation as a result of which i can see a stress discontinuity at the interface where beam of first material ends and the other starts. But in actual conditions there won't be any discontinuity in stress and any change in the stress will be...
  10. Divya Shyam Singh

    Airy's stress function for a cantilever beam

    I have to calculate Airy's stress function for a cantilever beam made of two different material along its length. The young's modulus of the first half is E1 and E2 for second half. The beam is made such that these materials are joined to each other one after other along its length. At the...
  11. Divya Shyam Singh

    Direct Stiffness Method for Analyzing Tripod Frame with Equally Spaced Legs

    Assuming the joint to be rigid, the 3 beams can be approximated to be under 2 dimensional load and stress analysis can still be carried out. Whatever load is acting at the centre, can be divided equally among the beams because of symmetry. Remember that beams can only exert a reaction force...
  12. Divya Shyam Singh

    Direct Stiffness Method for Analyzing Tripod Frame with Equally Spaced Legs

    The stresses in each beam will be exactly similar due to symmetry.
  13. Divya Shyam Singh

    Direct Stiffness Method for Analyzing Tripod Frame with Equally Spaced Legs

    I think if i were to analyze this structure, i would draw Free body diagrams of all the three supporting structures, treat each of them like a beam if it is a case of 2D stress condition and calculate the tensile and shear stress in each using the basic equations of the beams. I would also take...
Back
Top