ME211solution_7

ME211solution_7 - PL-5(103(8 = = =-3.64(10-6 AE(0.42...

This preview shows pages 1–8. Sign up to view the full content.

3 6 3.64(10 ) = 22 9 5(10 )(8) (0.4 0.3 )200(10 ) 4 PL AE δ π == ote: Negative sign means contraction. N

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
0; (12) 5(6) 0 AE MT =− = i p = = i p = Tk 2.5 E 0; 2.5(2) (10) 0 DC 0.5 C / 23 2.5(1.5)(12) 0.0316 (0.25) (29)(10 ) 4 BE PL in AE δ π == = 0.5(2)(12) (0.25) (29)(10 ) 4 C PL AE 0.00843 in = From similar triangle 22 (0.00843) 0.00169 in = 10 10 EC δδ BEB E δδδ =+ = + / 0.00169 0.0316 0.0333 in =
0; 60 0 ys t c o n FP P =+ = ------(1) s tc o δδ = n ; {} 33 (8)(12) 18(29)(10 ) 9(16) 18 (4.2)(10 ) st con PP = 0.98639 s t P = c o n P i p i p ------(2) Solving Eqs. (1) and (2) yields 29.795 st Pk = , 30.205 con = 29.795 18 st st st P A σ == 1.66 ksi = 30.205 9(16) 18 con con con P A 0.24 ksi = Either the concrete or steel can be used for the deflection calculation 3 29.795(8)(12) 18(29)(10 ) st st PL AE δ 0.0055 in =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Equation of equilibrium: 0; 25 25 0 xb s FP P =+ = ------(1) 50 bs PP += Compatibility: δδ = 29 2 2 (220) (200) (0.02) (200)(10 ) (0.05 0.04 )(200)(10 ) 44 ππ = 9 s P N N 0.40404 b P = ------(2) Solving Eqs. (1) and (2) yields 35.61 s Pk = , 14.4 b =
Note: Since adjacent rails expand, each rail will be required to expand δ/2 on each end, or δfor the entire rail. { } 6 6.6(10 ) 90 ( 20) (40)(12) 0.348 TL in δα = −− = 0.34848 TF δδ =− {} 6 3 (40)(12)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

This homework help was uploaded on 04/04/2008 for the course ME 211 taught by Professor Thouless during the Fall '08 term at University of Michigan.

Page1 / 8

ME211solution_7 - PL-5(103(8 = = =-3.64(10-6 AE(0.42...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online