Machine Design 2

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  1. What is the centroidal moment of inertia of a rectangular cross section?
    chart?chf=bg,s,00000000&cht=tx&chl=I_c%3D%5Cfrac%7Bbh%5E3%7D%7B12%7D&chs=122x70
  2. What is the moment of inertia of a rectangular cross section with respect to its base?
    chart?chf=bg,s,00000000&cht=tx&chl=I_B%3D%5Cfrac%7Bbh%5E3%7D%7B3%7D&chs=130x70
  3. What is the parallel axis theorem?
    The MOI wrt any given axis equals the MOI wrt the parallel axis through the centroid plus Ad2.

    chart?chf=bg,s,00000000&cht=tx&chl=I_%7Bpar-ax%7D%3D&chs=144x34chart?chf=bg,s,00000000&cht=tx&chl=I_c%2BAd%5E2&chs=136x42
  4. What equation describes the longitudinal stress in a thin-walled cylindrical pressure vessel?
    chart?chf=bg,s,00000000&cht=tx&chl=%5Csigma_l%3D%5Cfrac%7BpR%7D%7B2t%7D&chs=120x72
  5. What is the equation for required thickness of a thin walled cylindrical pressure vessel due to circumferential (hoop) stress?
    chart?chf=bg,s,00000000&cht=tx&chl=t%3D%5Cfrac%7BpR%7D%7BSE-0.6p%7D&chs=192x80
  6. How is shear stress related to torque and polar moment of inertia?
    chart?chf=bg,s,00000000&cht=tx&chl=%5Ctau%3D%5Cfrac%7BTr%7D%7BJ%7D&chs=106x68
  7. What equation describes the circumferential (hoop) stress in a thin-walled cylindrical pressure vessel?
    chart?chf=bg,s,00000000&cht=tx&chl=%5Csigma_c%3D%5Cfrac%7BpR%7D%7Bt%7D&chs=128x72
  8. What equation calculates the energy stored in a spring?
    chart?chf=bg,s,00000000&cht=tx&chl=E_%7Bspring%7D%3D%5Cfrac%7B1%7D%7B2%7Dk%5Cdel%5E2&chs=226x64
  9. What equation calculates rotational kinetic energy?
    • chart?chf=bg,s,00000000&cht=tx&chl=E_%7Brot%7D%3D%5Cfrac%7BI%5Com%5E2%7D%7B2g_c%7D&chs=164x78
    • where I is the mass moment of inertia about the rotational axis.
  10. What are the two expressions for radius of gyration?
    • The radius of gyration is the distance (r, k) where all the (area, mass) would be located and give the same moment of inertia (I).
    • chart?chf=bg,s,00000000&cht=tx&chl=r%3D%5Csqrt%7B%5Cfrac%7BI%7D%7BA%7D%7D&chs=126x86chart?chf=bg,s,00000000&cht=tx&chl=k%3D%5Csqrt%7B%5Cfrac%7BI%7D%7Bm%7D%7D&chs=126x76
  11. chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7Bk_%7Beq%7D%7D%3D%5Cfrac%7B1%7D%7Bk_%7B1%7D%7D%2B%5Cfrac%7B1%7D%7Bk_%7B2%7D%7D&chs=184x70

    Is this the equation for two springs connected end-to-end, or two concentric springs?
    Two springs connected end-to-end.
  12. Does a column buckle about the axis of the largest or smallest moment of inertia (Ix, Iy)?
    A column will buckle about the axis of the smallest moment of inertia.
  13. What is the equation for the Euler buckling load, Fe?
    • chart?chf=bg,s,00000000&cht=tx&chl=F_e%3D%5Cfrac%7B%5Cpi%5E2EI%7D%7BL%5E2%7D&chs=162x72   chart?chf=bg,s,00000000&cht=tx&chl=%3D%5Cfrac%7B%5Cpi%5E2EA%7D%7B%5Cleft(%5Cfrac%7BL'%7D%7Br%7D%5Cright)%5E2%7D&chs=118x102
    • where
    • chart?chf=bg,s,00000000&cht=tx&chl=L'%3DKL&chs=126x34
  14. What condition must be true to use this expression for column stress?
    chart?chf=bg,s,00000000&cht=tx&chl=%5Csig_e%3D%5Cfrac%7B%5Cpi%5E%5E2E%7D%7B%5Cleft(%5Cfrac%7BL'%7D%7Br%7D%5Cright)%5E2&chs=152x104
    • The column stress cannot exceed half of the compressive yield strength.
    • chart?chf=bg,s,00000000&cht=tx&chl=%5Csig_e%3CS_y&chs=102x36

Card Set Information

Author:
RJVan
ID:
306193
Filename:
Machine Design 2
Updated:
2016-01-09 13:10:06
Tags:
mechanics
Folders:
Mechanical Engineering
Description:
Mechanical Professional Engineering Exam Review
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