Tapered bar with end load

Question

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)

Answer 1

-0.71 mm
Problem 3) 184 MPA

Anyone for Problem 1 and 2 please?

Answer 2

Thanks FLu!
Yes, Problem 1+2 please?

Answer 3

Great thanks!
Problem 1 and 2 please?

Answer 4

-0.71 mm is bad answer

Answer 5

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?

Answer 6

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?

Answer 7

Anyone for problem 1&2?

Answer 8

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

Answer 9

Anyone Problem 1 and 2 please?

Answer 10

anybody have the solution of problem 1 and 2?

Answer 11

Anyone please?

Answer 12

Pretty please with sugar on top?

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

rho_1 not permitted, please help!

Answer 17

same problem!

Answer 18

Problem 1 and 2 please?

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

Thanks RORO, any luck with the second Problem set?

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

Anybody had luck with other problem 1 and 2 please?

Answer 27

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

Answer 28

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

Answer 29

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.

Answer 30

Anyone for Problem 1 and 2 please?

Answer 31

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.
 
 
 

Answer 32

Problem 1 and 2?

Answer 33

Please 1 and 2?

Answer 34

ANy further Problem 1 and 2 answers?

Answer 35

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

Answer 36

Please other Problem 1 & 2!

Answer 37

Other problems in 1 and 2 please?

Answer 38

Help problem 1 and 2?

Answer 39

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