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Chapter: 18 -Problem: 2 >> Determine the solution of the following simultaneous equations by the inverse method. 1x1 + 3x2 = 5 4x1 - 1x2 = 12
Answer Preview: By inverse method 1 3x 4 1xf C 1 11 1 C2 …

, Chapter: 18 -Problem: 5 >> Given thatx1 = 2y1 - y2  z1 = -x1 - x2x2 =  y1 - y2  z2 = 2x1 + x2a. Write these relationships in matrix form.b. Express [z] in terms of {y}.c. Express [y] in terms of [z].
Answer Preview: x 1 2y 1 y 2 z 1 x 1 x 2 x 2 y …

, Chapter: 18 -Problem: 1 >> Determine the solution of the following simultaneous equations by the inverse method.1x1 + 3x2 = 54x1 - 1x2 = 12
Answer Preview: By Cramer s rule 31x…

, Chapter: 10 -Problem: 11 >> Determine the Jacobian matrix |J| and its determinant for the elements shown in Figure P10 11. Show that the determinant of |J|for rectangular and parallelogram shaped elements is equal to A/4, where A is the physical area of the element and 4 actually represents the area of the rectangle of sides 2  2 when b = 1 and h = 1 in Figure 6€“20.(a) (b) (c)
Answer Preview: Symplying by multiplying the matrices in Equati…

, Chapter: 18 -Problem: 7 >> Solve Problem B.1 by Gauss–Seidel iteration.Data from problem B.1Determine the solution of the following simultaneous equations by the inverse method.1x1 + 3x2 = 54x1 - 1x2 = 12
Answer Preview: By Gauss Seidel Initial gue…

, For the cylindrical vessel with hemispherical ends (heads) under uniform internal pressure of intensity p ? 500 psi shown in Figure P9?21, determine the maximum von Mises stress and where it is located. The material is ASTM?A242 quenched and tempered alloy steel. Use a factor of safety of 3 against yielding. The inner radius is ? = 100 inches and the thickness t = 2 in.
Answer Preview: Given P 500 Psi a 100 in t 2 in Fos 3 d 2a 200in Keep stress on P…

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, Determine [C]-1
Answer Preview: Answer Here dimension of C That means c now we have …

, A large plate of stainless steel with thickness of 5 cm and thermal conductivity of k = 15W/ m-oC is subjected to an internal uniform heat generation throughout the plate at constant rate of Q = 10 ? 106?W/m3. One side of the plate is maintained at 0 oC by ice water, and the other side is subjected to convection to an environment at T? = 35 oC, with heat transfer coefficient h = 40W/m2-oC, as show
Answer Preview: I hope this helps …

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, How would you treat a linearly varying thickness for a three-noded triangle?
Answer Preview: In structural analysis problems each node contributes to two degrees of freedom Three noded triangle …

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, Compute the stiffness matrix of element 1 of the two-triangle element model of the rectangular plate in plane stress shown in the following figure. Then use it to compute the stiffness matrix of element 2. Transcribed Image Text: 4 (2)
Answer Preview: Pic…

, Chapter: 17 -Problem: 7 >> Show that ([A] [B])T= [A]T[B]Tby using   Transcribed Image Text: [b1 b12 b13 [B] = b21 b22 b23 ?12 [4] = a22 a21
Answer Preview: Show that A B T B T A T by using Answer A B T B T A T A A B 911 912 91 922 B …

, Chapter: 18 -Problem: 3 >> Solve the following system of simultaneous equations by Gaussian elimination.x1 + 4x2 - 5x3 = 43x2 + 4x3 = -1-2x1 -1x2 + 2x3 = -3
Answer Preview: By Gauss elimination Multliply row 1 by 2 …

, Write a computer program to solve plane stress problems using the LST element.
Answer Preview: A plane stress problem is taken to be one in which zz is zero As stated abo…

, Chapter: 17 -Problem: 6 >> Determine [D]-1  by row reduction.
Answer Preview: D 1 by row reduction divide row 1 by 3 subtract row 1 from 2 multiply …

, Chapter: 17 -Problem: 5 >> Determine [B]-1  by row reduction.
Answer Preview: B 1 2 3 4 20 2 8 20 1 2 80 1 0 …

, Chapter: 4 -Problem: 43 >> Derive the stiffness matrix for a beam element with a nodal linkage€”that is, the shear is 0 at node i, but the usual shear and moment resistance are present at node j (see following figure). Transcribed Image Text: m; m, L. f, = 0
Answer Preview: From equation EI cons…

, Chapter: 10 -Problem: 18 >> Evaluate the matrix [B] for the quadratic quadrilateral element shown in Figure 10€“15 on page 521 (Section 10.5).(a) (b) Transcribed Image Text: 3. (20, 15) (12, 15) (10, 10)- (20, 10) (20, 20) (12, 16) (10, 10) (20, 10)
Answer Preview: Where N s X1 N 5X2 N8 s X8 X …

, Chapter: 17 -Problem: 1 >> Solve Problems A.1 through A.6 using matrices [A], [B], [C], [D], and [E] given by(a) |A| + |B|(b) |A| + |B|(c) |A| |C|T(d) |D| {B}(e) |D| |C|(f) |C| |D| Transcribed Image Text: 3 1 01 -1 0 3 2 0 [4] [B] [C] -2 8 3 1 [D] = {E} = 3 4 0 2.
Answer Preview: a b A C Nonsense A and C no…

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15 Reviews for A First Course in the Finite Element Method Textbook Questions And Answers