Question

No.: - lolbin В. - 20 in 20 in Determine the displacement and rotation at B - Final element analysis subject use Matrix

With full steps

Answer 1

101blin e goin ② not doin A, E, I gran matrix or Stibe ness, element : ru. v. &, & ve de ÉS (-4c5-es -(Pack 143.2) CO [+] & x Ac?+ 12T [k] = E [(ac+2354 (A-12. Jesus -(acºtetsu - Co-Pays (ast -(n-129)cs Castely ac 41 61 7 (c'+250) 29) 4 I Symmetry 127

A= area I are moment of inertia La length се ск 9 S = 8ine Le E30x108 pi, A 0in2, = 200 in4 for element - 9 - 90°, CEO, S= 이 는 | - - 9 。 은 이 47 c Do o놈 - TAE 뜬 o 뜬 o4

1 0 0 ooo 19 。 - lo CE T9 . 。 。 。 lo - - o 。 。 | u 。 。 日- 。 。 。 。 18 , , LG 。 o (高)。 。 一 -sold) 。 - c Lé o (3) 09 a o ew - o e go Gols : 99 。 。。。。 ris on - 。 。。。 O O O w uz 3 or U v iv. d. [*]: [el J+ CE(3)? 。 。 。 16 : h司。」 2. - 。 。 。 # IS 。 ” 19 cs ris do - - CS 四,助。马 上功。*, am。 。 =Cal C=1, S=0 0 = 0 , For Element

Boundary conditions - u, sy, Ф, во -too_Ь -IooЬ - mе gas N 4 - 333.33 Jь-in 37 333, 33 Jo-n Fax = 0, Fas = 0 Fes : -105 06 , Egy = -10.06 ma - - 333 33 06.- in ma = 333. 33 56- in - 102, - 333.33 06 - - Тооль 333 33 9ь - in

1 70 GI o 이 100 -333 33 191 머2I 12 1 105 333-33 - 12I ret191 - - -10) -333-33 - 100 - CI | ST SI 2 g I E | 33333 L GI ries 나 E=30x100 psi, A=10in², I= 200m Now put 녀 20in -100 = t.5x108 ( 16vg +©o dg - 60g + 60d3) -333.33 = {•5x108 (60Vg + 16000g - 60 y + 40003) -TO0= 1.5x100 (-6 - 604g + 6ds - 60 03) 333.33 = f.sxoS ( Go vs + 400g - Go V + 8 oods) = - 1.334 X15*6 repin . - I. GSX Is you 빵= 1,9sX100 in g= 611 X157 rad
In this question value of area , area moment of inertia , and elastic constant is not given so I have assume it so that I can get answer. In this type of global matrix we have to reduce our equation so in boundary condition if u1 is zero then no significance of 1st row 1st column using this I reduce our matrix 9*9 to 4*4. Reason behind this is very simple, when we multiply to matrix we have to take multiple of row of left matrix and column of right matrix so if u1 is zero then in all equation we have to consider it so better one is cancel that row and column.