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)

Please help!
posted by Mag

0.71 mm
Problem 3) 184 MPA
Anyone for Problem 1 and 2 please?posted by FLu

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

Great thanks!
Problem 1 and 2 please?posted by Ortum

0.71 mm is bad answer
posted by RORO

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

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

Anyone for problem 1&2?
posted by Saga

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

Anyone Problem 1 and 2 please?
posted by Nura

anybody have the solution of problem 1 and 2?
posted by mehwish

Anyone please?
posted by Any

Pretty please with sugar on top?
posted by Anonymous

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

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 xposted by Anonymous

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

rho_1 not permitted, please help!
posted by Saga

same problem!
posted by Hura

Problem 1 and 2 please?
posted by Nyu

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 Lposted by Anonymous

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

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

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

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

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

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

Anybody had luck with other problem 1 and 2 please?
posted by Neon

If you don't understand the solution then you have to read the exercises at least.
posted by F10

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

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

Anyone for Problem 1 and 2 please?
posted by But

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 zaxis (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 midsection: 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 noninertial 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 zaxis (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 midsection: 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 noninertial frame of the rotating blade, the d'Alembert force/unit volume is ρω2r along the +x direction)
plzzzzzzzzzzzzzzzz help.
posted by mono

Problem 1 and 2?
posted by Hta

Please 1 and 2?
posted by Gaby

ANy further Problem 1 and 2 answers?
posted by Byrta

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

Please other Problem 1 & 2!
posted by Bart

Other problems in 1 and 2 please?
posted by Deas

Help problem 1 and 2?
posted by Magnum

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 xaxis is at the fixed support,10M . The maximum magnitude (absolute value) of stress in the core is found to be Pa.
plz helpposted by bei
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