EAS207-2nd-exam-sol-2008

# EAS207-2nd-exam-sol-2008 - EAS 207 — STATECS Second Exam...

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Unformatted text preview: EAS 207 — STATECS Second Exam Fall 2008 Total points: 100 Note: This is a “Closed book” examination. The time allowed for solving the following questions is 2 hours. Q.1) A roof truss is loaded as shown in the figure 1 below. Determine the force in members FH, GJ, G! and HG. (34 points)‘ e ”Hm «WNW . 0 .\ "‘ 1:57 ,. ,, SQ“33‘.‘F‘3>+cw-a® (657’ 62’3“ (05 5Q 59 ”@733 V‘ / 1:3 ‘1 W? 2!, I M" 313232 6‘1.) . + 3 2 :3 36"” 06547 67 ,_ 3,95% cw: ’27 “ 6i9§ 3<;§”3»%WM 1:: 5;) 69987 3'3“!) {4:059 A V Ff W0 Siﬁbéﬂ§5 ”4’5 Q. 2) Determine the centroid of the area shown in the ﬁgure below in terms of a and “b . (33 points) % «r \t "2 70,4, 4 i ‘\ :W "'7‘ 2 Am (’ELQ‘E ébﬁi \i’i L...\ «‘ ,om ..9. > 53 3‘1; «rm W ~ M ; A} . E w E t m 3,, a y. , \1 V w + 32“?” .2]:— ] GM?” +“ @{Vb 51.0% Dr’rgﬁ. b \ " E“: Q/ Cit-No + :2}; L53 Qt M ab 1-” 204% W j‘gawztab ”A a: \‘L/ Q. 3) For the rectangular shape with a Z cutout shown below, Determine a) lx ,yl and lw at point C for the given centroidal axes b) The orientation of principal axes with respect to the centrodial axes. Show them on a sketch. ' C) The values of principal moment of inertia (lmax , lmm). (33 points) .. _ __,//i—~::\\ ...
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