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Given the equations
(a) Solve by Gauss elimination with partial pivoting. Show all steps of the computation.
(b) Substitute your results into the original equations to check your answers.
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- 2. A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 28.1° with the tensile axis. Three possible slip directions make angles of 62.4°, 72.0°, and 81.1° with the same tensile axis. (a) Which of these three slip directions is most favored? (b) If plastic deformation begins at a tensile stress of σ x = 1.95 MPa (280 psi), determine the critical resolved shear stress for aluminium. (c) If this single crystalspecimen is loaded under the new stress state: σ x =1.2 MPa σ y = -0.8 MPa, and τ xy = 0.6 MPa, howmuch is the resolve the shear stress along the most favored slip direction?arrow_forwardPlease explain how to do each part and tell me if my drawing is correct. thank youarrow_forward4. Determine which of the following flow fields represent a possible incompressible flow? (a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z a (b) V=U cose U coso 1 (9) [1-9] Usino |1 (4)] [+] V=-Usin 1+1arrow_forward
- 3. Determine the flow rate through the pipe line show in the figure in ft³/s, and determine the pressures at A and C, in psi. 5' B C 12° 20' D 6"d 2nd- Water Aarrow_forward5. A flow is field given by V = x²₁³+xy, and determine 3 ·y³j- (a) Whether this is a one, two- or three-dimensional flow (b) Whether it is a possible incompressible flow (c) Determine the acceleration of a fluid particle at the location (X,Y,Z)=(1,2,3) (d) Whether the flow is rotational or irrotational flow?arrow_forwardSolve this problem and show all of the workarrow_forward
- Solve this problem and show all of the workarrow_forwarddraw the pneumatic circuit to operate a double-acting cylinder with: 1. Extension: Any of two manual conditions plus cylinder fully retracted, → Extension has both meter-in and meter-out, 2. Retraction: one manual conditions plus cylinder fully extended, → Retraction is very fast using quick exhaust valve.arrow_forwardCorrect answer is written below. Detailed and complete solution with fbd only. I will upvote, thank you. Expert solution plsarrow_forward
- Correct answer is written below. Detailed and complete solution with fbd only. I will upvote, thank you.arrow_forwardCorrect answer is written below. Detailed and complete solution with fbd only. I will upvote, thank you.arrow_forwardCorrect answer is written below. Detailed and complete solution only with fbd. I will upvote, thank you.arrow_forward
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning