HW1_Solutions

HW1_Solutions - Prob L4.2 Solve Prob 1.4-1 with the...

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'8 i U\ Prob. L4.2. Solve Prob. 1.4-1 with the position of the pin support and the roller support interchanged. Th~t is, support the. truss by a roller at A and by a pin at B. 501"1.,-1:)'" : 'CYH/;{irtion .- (a) R~4cl/l)t?f 4./ /J a",./8. p C ~rn ,F/Jt) ~/C:n/r~ /ru rl / t{ (z-m )a ::0 -3h"/4.1(~fl)(J"'~~O·) I ~t.';'rUff)-~ lilfl}:o -- 19t;- /. 70/ kf~J -Jz,fi '=-0 ilipf r 8:J. :. 0 {jJt ;; -.]t 'io J J-TZI} =0 1-~t.J;"f r8 y ::' 0 ~ "' /. 70/ ~;.( f 8x ~ loo k';'l - 6; :: 4, Z'i'j te,~{ 8/:: 4, 3 0 4~.f t ft) /l~ia/ ~/Uf /;' rn ~1"Y1 ft'1'"J (I ) -if). l
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Prob. 1.4-4. The pin-jointed truss in Fig, P1.4-4 supports a load of P = 2 kips at joint C. Determine the axial forces F I through F s in the truss members. I--- 8 ft-----.-- 6 ft--l p Pl.4-4 and P2.2·12 Jet Ir. .e I; "vl?'- tleh"M''-7~ (i';(t'al rV"(. .~J Ii -tj:. . 8 1- _ ---72 r; -=0 ~J' 1 f-((ZM)*{;O & ' III 0) 2 £I~ f (e jf) - 0; (14;1) ~ () (!- ) 1 IJ t = /, IIZ7' 4.;'( C (11 (; , 8' OJ + r(z 111 J ~ C> p 11 7 !k.I~ r 4; (14fl) - tt.t(.r fef!) r;o III = 0, e )71 i-,';>r CtU/"tto'?f"-' ef /0,;.,11/'- , ~ f 1 '2 r; -=- 0 /lj f 1- 17 "0 IJ: - {( 1; ) 17= - /, fZ8~ kA~r ~ Z Ft ~o Ii- f f- Ii;; 0 rf:: -! r; l I 0 Ii ~;:; :: / 14-1 J tria ( I f;- OJ If :: 2 Llfr ~ ,Ch ,1',"4 r,"", "1 0 j ;(,/", I 0 : v r ~ tf: ;,fzrt:,;f(C) ~t 217 If (iZlt) f 0 = 0 -=-U Ii: l,Oo t,;'r (11 ;:;;; - -Ii OJ;; - I. ~ 1(, Z. f-t). J r::: It ~I (; klrr ({) J Ii-: /, If} tl/V [T \ c :: /. 1'1 J tJ/J1 (r J
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E l-- I fl -I- I ft -I- 1ft -I- Ifl -1 Prob. L4-7. For the beam shown in Fig. P1.4-7, determine: (a) the reactions at supports Band C, and (b) the intemel resultants at section E, midway between the supports. 4 kips Pl.4-7 I_'}_,;. B, ~ (<<) !?etlC I{CJ;'1 r a/ 8 wrj C. lr-{ (Z/11}c :: 0 b) (! II) - 4t.,;" (rt'-'1 10' ) (J fI) -1-'01 (/ It) - j'k/~' II ~o IJ, : C,.)O k-i;" ( .!:. .t Z f; ;:"0 - t/Ie't'i-r ( ~1 JO .) f ~ =: 0 ~ = ~ 4t4! tlrr -lr (Z M l" .: 0 - 1-1.-1(.1 (rl~ to·)(( ff) i {ltit?r(;;/J-c; (lit) - 3 k'r' fl ';0 C'j =- -0. 000 It I;'r Cj ~{),5"Oo. k./ p ( J, ,~f J'J (t) I~ f~ .... n4/ ,(Jr~/fa~h ?AI E. h",/f,'hr'-u"'1
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HW1_Solutions - Prob L4.2 Solve Prob 1.4-1 with the...

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