Question

1) A mile-long bar (like an oil well rilling stem) hangs freely from its upper end. Model the pip with 5 equal length elements and simulate the load of gravity by putting half the weight of each element on its ends. Presuming a cross- sectional area A = 1 in2, an elastic modulus E = 30.0 x 10 psi, a weight density of y 0.3 lb/in', and length L= in, solve for the nodal displacements using the linear finite element formulation. Then, make graphs of 63,360 a) The displacement at all points of the pipe as a function Element of x b) The internal force p as a function of x Hanging pipe Model

Hey brother. first of all I want to thank you for solving this problem for me. I really don't understand how you get k1,k2, k3, k4, k5, and k6. I don't understand neither how you get F1 to F6... overall I do understand. can you explain me how u get these following values. please. u can also use matlab coding to safe time if u want to. I just don't have a clue idea how u get them. I just want u to write down the step of how you get k's and D's. thank you

Answer 1

La l33oin A= li E So-oxto ps EA Element Modet 3302,72. element ren tht mate the ad of graiyy ting halt the ght busly total lad Cah clement lex of each element on ts ends 0-3x 12,C72 x 38ol.C b tdeight of gaily lod at Cach eNode ot element

19c6-8 900.8 190p-8l6 19008 Element a 19cd8 190084 2-108sT 3801 1900 8 Takin the mem ber to Le D elme t Aial Ststfness are AE, (Le)

ky AE Le k, AE Le AE Le AE Ky 1 AE Le -1 Diphioment Vector 45 1900.2 lead vestory 1- 3801 3801.L 1900.3

P k D Mo0.2 2 - 1 380 2-1 X 2 AE 280l 44 Le 1900 P d d Knounthat t1inE30oxlo PS Le 12672 as is we Knouo 304128 399 6.8 us 45619.2 u7520. 6 Fimad clispreo 726 128h63n 16.860?m 19.26955 m 20.67241a us