Physics

posted by helpless

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)

  1. Mag

    Please help!

  2. FLu

    -0.71 mm
    Problem 3) 184 MPA

    Anyone for Problem 1 and 2 please?

  3. Mag

    Thanks FLu!
    Yes, Problem 1+2 please?

  4. Ortum

    Great thanks!
    Problem 1 and 2 please?

  5. RORO

    -0.71 mm is bad answer

  6. Anonymous

    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?

  7. FLu

    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?

  8. Saga

    Anyone for problem 1&2?

  9. RORO

    Ok, thanks. No, I hav not solution for 1 and 2!

  10. Nura

    Anyone Problem 1 and 2 please?

  11. mehwish

    anybody have the solution of problem 1 and 2?

  12. Any

    Anyone please?

  13. Anonymous

    Pretty please with sugar on top?

  14. Flaminuous

    Yes, as this wannabe Anonymous sais, please help with glucose on top!

  15. Anonymous

    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

  16. FLu

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

  17. Saga

    rho_1 not permitted, please help!

  18. Hura

    same problem!

  19. Nyu

    Problem 1 and 2 please?

  20. Anonymous

    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

  21. FLu

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

  22. RORO

    fx(x)=rho_2*g*A for L/2 to L

  23. FLu

    Thanks RORO, any luck with the second Problem set?

  24. Mag

    THanks guys, anybody managed other problem in 1 and 2?

  25. mehwish

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

  26. mehwish

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

  27. Neon

    Anybody had luck with other problem 1 and 2 please?

  28. F10

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

  29. Neon

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

  30. faryia

    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.

  31. But

    Anyone for Problem 1 and 2 please?

  32. mono

    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.
     
     
     

  33. Hta

    Problem 1 and 2?

  34. Gaby

    Please 1 and 2?

  35. Byrta

    ANy further Problem 1 and 2 answers?

  36. FLu

    No, sorry was not succesful, any other had chance with problems 1 and 2?

  37. Bart

    Please other Problem 1 & 2!

  38. Deas

    Other problems in 1 and 2 please?

  39. Magnum

    Help problem 1 and 2?

  40. bei

    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

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