Physics

Tapered bar with end load
The small tapered bar BC has length L=0.1 m and is made of a homogeneous material with Young’s modulus E=10 GPa. The cross sectional area of the bar is slowly varying between A0=160 mm^2 (at B) and A0/2 (at C), as described by the function:

A(x)=A0/(1+(x/L))

The bar is fixed at B and a load P=8kN is applied at the free end C. Determine the total elongation, δ, of the bar. (in mm)

asked by helpless
  1. Please help!

    posted by Mag
  2. -0.71 mm
    Problem 3) 184 MPA

    Anyone for Problem 1 and 2 please?

    posted by FLu
  3. Thanks FLu!
    Yes, Problem 1+2 please?

    posted by Mag
  4. Great thanks!
    Problem 1 and 2 please?

    posted by Ortum
  5. -0.71 mm is bad answer

    posted by RORO
  6. RORO, it worked for me, there must be tolerance, try -0.73 and let me know if it work?

    Do you have problem 1 and 2?

    posted by Anonymous
  7. Yes, must have something to do with tolerance RORO, try -0.73, there was technical issue before.

    RORO did you get problem 1 and 2 please?

    posted by FLu
  8. Anyone for problem 1&2?

    posted by Saga
  9. Ok, thanks. No, I hav not solution for 1 and 2!

    posted by RORO
  10. Anyone Problem 1 and 2 please?

    posted by Nura
  11. anybody have the solution of problem 1 and 2?

    posted by mehwish
  12. Anyone please?

    posted by Any
  13. Pretty please with sugar on top?

    posted by Anonymous
  14. Yes, as this wannabe Anonymous sais, please help with glucose on top!

    posted by Flaminuous
  15. I figured out the first answer, it was very simple, just had to multiplicate density(kg/m^2) x area(m^2) x gravity(m/s^2)= (kg m/s^2)= (N)

    So:fx(x)=rho_1*g*A

    I don't understand why f depends on x

    posted by Anonymous
  16. Anonymous, tried it out but it says rho_1 not allowed in answer. How did you manage?

    posted by FLu
  17. rho_1 not permitted, please help!

    posted by Saga
  18. same problem!

    posted by Hura
  19. Problem 1 and 2 please?

    posted by Nyu
  20. The first answer for the first exercise should be: rho_1*g*A

    Try typing it, not copy/paste.

    rho_1 isn't allowed for L/2 to L

    posted by Anonymous
  21. Thanks Anonymous now it worked.
    Have you had luck with Problem 2?

    posted by FLu
  22. fx(x)=rho_2*g*A for L/2 to L

    posted by RORO
  23. Thanks RORO, any luck with the second Problem set?

    posted by FLu
  24. THanks guys, anybody managed other problem in 1 and 2?

    posted by Mag
  25. I cannot understand the solution of f(x)=rho_1*g*A plz give the two words of question as a hints

    posted by mehwish
  26. I cannot understand the solution of f(x)=rho_1*g*A plz give the two words of question as a hints

    posted by mehwish
  27. Anybody had luck with other problem 1 and 2 please?

    posted by Neon
  28. If you don't understand the solution then you have to read the exercises at least.

    posted by F10
  29. F10 is right. DO you have managed Problem 1 or 2 F10?

    posted by Neon
  30. I read but I don't understand because some guys talking on one question and some guys talking on other question at the same time.

    posted by faryia
  31. Anyone for Problem 1 and 2 please?

    posted by But
  32. Rotating blade (body force in axial loading)
    A blade is fixed to a rigid rotor of radius R spinning at ω rad/sec around the vertical z-axis (see figure). Neglect the effects of gravity.



    4.
    5.Calculate the peak stress in the blade: σmaxn
    6.Calculate the blade elongation: δ
    7.Calculate the displacement of the blade mid-section: ux(L/2)
    8.Given:
    9.Young's modulus, E , mass density, ρ .
    · Constant cross sectional area, A
    · Rotor radius R , blade length L
    · Angular velocity ω
    (Hint: if you work in the non-inertial frame of the rotating blade, the d'Alembert force/unit volume is ρω2r along the +x direction)
    1. Try it:
    2. σmaxn=
    3.
    4. unanswered
    5.  
    6.
    7.
    8.
    1.
    2. Try it:
    3. δ=
    4.
    5. unanswered
    6.  
    7.
    8.
    9.
    1.
    2. Try it:
    3. ux(L/2)=
    4.
    5. unanswered
    6.  
    7.
    8.

     
     
     A blade is fixed to a rigid rotor of radius R spinning at ω rad/sec around the vertical z-axis (see figure). Neglect the effects of gravity.
    Calculate the peak stress in the blade: σmaxn
    Calculate the blade elongation: δ
    Calculate the displacement of the blade mid-section: ux(L/2)
    Given:
    Young's modulus, E , mass density, ρ .
    · Constant cross sectional area, A
    · Rotor radius R , blade length L
    · Angular velocity ω
    (Hint: if you work in the non-inertial frame of the rotating blade, the d'Alembert force/unit volume is ρω2r along the +x direction)
    plzzzzzzzzzzzzzzzz help.
     
     
     

    posted by mono
  33. Problem 1 and 2?

    posted by Hta
  34. Please 1 and 2?

    posted by Gaby
  35. ANy further Problem 1 and 2 answers?

    posted by Byrta
  36. No, sorry was not succesful, any other had chance with problems 1 and 2?

    posted by FLu
  37. Please other Problem 1 & 2!

    posted by Bart
  38. Other problems in 1 and 2 please?

    posted by Deas
  39. Help problem 1 and 2?

    posted by Magnum
  40. Given the displacement field, find the loading (inverse problem)
    The composite bar is composed of an inner core of cross sectional area A and a sleeve of cross sectional area . The Young's modulus of the sleeve is and the modulus of the core is . Under the effects of unknown distributed loading, , the bar is observed to deform. The measured displacement field in the bar is , where is a dimensional constant and is the length of the bar. The origin of the x-axis is at the fixed support,10M . The maximum magnitude (absolute value) of stress in the core is found to be Pa.
    plz help

    posted by bei

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