ET102-WK4-4

Topic: Calculation of stretch: small es. finite deformation Consider the mapping in 2-D only 21 = X1 +7X2 = X1+ u1 82 = (1+e)X2 = X2 + Uz. (1) 1. In terms of y and a compute F, i.e. the Fij's and then compute the Cj = FF.j; recall F = Fi. Now do the following. %3D 2. Take two fibers, viz. dX = e and dY = e2, that is two fibers of unit length along the ej and ez axes, respectively in the reference state. Compute the stretch of dX and dY. 3. Compute the small strains from this mapping with u = 7X2 and ur = eX¡ from above. What would these small strains suggest for the change in lengths of dX and dY? 4. Comment on what you found from the results of 2. and 3. You may want to sketch the deformed state to explain your comments.

Command: PLOTTERMANAGER (from the autocad file m TO CONFIGURE A LOCAL, NONSYSTEM PLOTTER 10. PROFILES-Controls the use of profiles. A profile is a configuration you define. 367N 367N R=1.0m 426N 426N B. 426N C. The two identical sphemes having oqual weights of 367N is placed on top of the three identic al sphere's w/ 426 N as their reight . Compute the reaction A,B and C

B4

s = 2 t = 0

Solve for the required parameters using Polygon Method

57% O O P 1:21 ZAIN IQ I. Lecture (5).pptx - Microsoft PowerPoint Animations Slide Show Review View IIA Text Direction- |Align Text Convert to Smartart {}* Arrange Quick Shape Fill- Shape Outline Repla A Find 32, AA =,=,| 一前 u s AL1ゆ4G- US abe AV Aa- A- EE Styles Shape Effects A Select Font Paragraph Drawing Editin Engineering Mechanics Statics (Equilibrium of a Particle) Ayad A. M. Q/ Use the conditions of equilibrium to solve the following problem and find the magnitude of the resultant force acting on the screw eye and its direction measured clockwise from the x axis. F- 250 N F- 150 N 30 105 9 68% O 底 )

Solve the following for x: 6log. Vx-log,3x=log, x i1) 32-5 =27 i11) Vx +x+10 =x+2

Please answer correctly and don't copy paste.

Points for stress vs strain (in image) Assume the compressive concrete strength (f’c) is 3,000 lb/in2 (psi)Calculate a cubic function (3rd order polynomial – Ax3+Bx2+Cx+Constant)Use this function to create a function that describes the slope of the cubic function (the derivative of thecubic function). This new function allows you to calculate the tangent to any point along the curve. Thetangent is the modulus of elasticity (E).   The concrete code provides a formula to calculate E for concrete. That formula is:E = 57,000√??′, where f’c is in units of psi, and E is in units of psi.Use the derivative function you calculated to locate the point on the curve where the slope of the curvematches E using the concrete code formula. Express that stress point on the curve as a percentage ofthe compressive strength of the concrete. Now, calculate the secant modulus for the test case using 1,500 psi (50% f’c) as the arbitrary point onthe curve.Assume fracture occurs at the last point…

Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius: 7 еВook Submit Answer View Previous Question Question 2 of 7 View Next Question Home My Assignments O Request Extension P Type here to search A 31°C 10:44 AM 22-Oct-2 not m esc 17 12/A prt sc delete 23 2 3 4 8. tab Q W R Y U OF A S G H. J K L caps lock shift& C fn + esc alt 目 ctrl ctrl fn alt 6

E Machine Design & CAD-II (Engr. x O Shigley's Mechanical Engineering X + O File C:/SEMMESTER%2306/Machine%20Design%20and%20CAD/Shigley's%20Mechanical%20Engineering%20Design,%2010th%20Edition.pdf Shigley's Mechanical Engineering Design, Tenth Edition 737 / 1105 200% + 3-17 Shaft a in the figure rotates at 600 rev/min in the direction shown. Find the speed and direction of rotation of shaft d. 207, = 30° RH 736 8T, = 60° RH 13-17 3 737 40T 177, = 30° RH 20T 60T Shigley's Mechanic.pdf Show all W 7:22 PM 5/16/2021 II 国

B1

Question 2 and 3 please

Solve the following differential equation: y'"-2y' +y= e*Inx Select one: a. YG.s=C;Xe¯*+Czx²e*+e* Jinx+ xe-* [Inx = C, sinx+ c>cosx+ sinx Inx+cosx /Inx b. YG.S c. None O d. YG.s=C,xe*+czx²e*-e* ] xInx+e* ]x?inx YG.s=Ce*+c2xe* - e* | xlnx+ xe* | Inx е.

please solve ture and clear

3. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?

i want a displacement and stress equations from the global matrix that you can find it from the code and make a calculation %‏‏‎ ‎Define‏‏‎ ‎node‏‏‎ ‎coordinates‏‏‎ ‎(x,‏‏‎ ‎y)nodes ‏‎=‎ ‎[0,‏‏‎ ‎0;‏‏‎ ‎3,‏‏‎ ‎6;‏‏‎ ‎6,‏‏‎ ‎0;‏‏‎ ‎3,‏‏‎ ‎12;‏‏‎ ‎6,‏‏‎ ‎12;‏‏‎ ‎9,‏‏‎ ‎6;‏‏‎ ‎12,‏‏‎ ‎0;‏‏‎ ‎9,‏‏‎ ‎12;‏‏‎ ‎12,‏‏‎ ‎12]; %‏‏‎ ‎Define‏‏‎ ‎the‏‏‎ ‎connectivity‏‏‎ ‎of‏‏‎ ‎the‏‏‎ ‎elements‏‏‎ ‎(start_node,‏‏‎ ‎end_node)elements‏‎ ‎=‏‏‎ ‎[‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎1,‏‏‎ ‎2;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎1,‏‏‎ ‎3;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎2,‏‏‎ ‎4;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎2,‏‏‎ ‎5;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎3,‏‏‎ ‎5;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎4,‏‏‎ ‎6;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎5,‏‏‎ ‎6;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎5,‏‏‎ ‎7;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎6,‏‏‎ ‎8;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎7,‏‏‎ ‎8;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎7,‏‏‎ ‎9;‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎8,‏‏‎ ‎9]; %‏‏‎ ‎Define‏‏‎ ‎material‏‏‎ ‎properties‏‏‎ ‎and‏‏‎ ‎cross-sectional‏‏‎ ‎areaE‏‏‎ ‎=‏‏‎ ‎30e6;‏‏‎ ‎%‏‏‎ ‎Young's‏‏‎ ‎Modulus‏‏‎ ‎in‏‏‎ ‎psiA‏‏‎ ‎=‏‏‎ ‎1.2;‏‏‎ ‎%‏‏‎ ‎Cross-sectional‏‏‎ ‎area‏‏‎ ‎in‏‏‎ ‎in^2 %‏‏‎…

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change in the forces so D is 300N and B is 200N. Need help solving for Ay and Cy.

Problem Statement: A car drives on a circular track with radius 270 m. Initially, the displacement s=0 and the speed is 24 m/s. The car then begins to accelerate at At 0.3s (given in m/s? where s is in meters). After 3.4 seconds has passed, determine: (To get this answer you may need to use a table of integrals and/or a numerical equation solver.) The distance traveled: ûn The velocity vector: un The acceleration vector: Be sure to include units with your answers.

Given: N1 = 10, N2 = 20, N3 = 30, N4 = 40 J1 = 1, J2 = 2, J3 = 3, J4 = 4, J5 = 5, D1 = 1, and D2 = 2 Determine: 01(s)/Tl(s) T₁(1) 0₁ (1) CC N₂ D2, J2 N₁ J₁. Di N3 J3 N4 N₂0 JS J4

A bracket is riveted to a column by 6 rivets of equal size as shown in Fig. It carries a load of 100 kN at a distance of 250 mm from the column. If the maximum shear stress in the rivet is limited to 63 MPa, find the diameter of the rivet.

Can someone help me to solve both the following questions Top using triangles method Bottom using the component method Please she all work and graphs

A single cell torque box has the given points as stated: ABCD is a quarter ellipse that has a median line length of 2.4 in, thickness of 0.09 in, semi major axis BCD of 3in and semi minor axis AD of 1.5 in, CBE is a quarter circle with radius of 1.5 in and thickness of 0.08 in, CEFD is a square with base EF of 1.5 in and thickness of 0.07 in, DFGH with base FG measuring 8 in and side GH equal to the radius of the quarter circle CBE with thickness of 0.06 in and ADH a right triangle with base equal to FG and thickness of 0.05 in. Applied torque is 125,000 lb.in, shear flow of 500 lb/in, L=100 in and G=4,000,000 psi. For question 1. what is the total area enclosed by the median line? *

3

give the a) A turbine connected to an electric generator through a gearbox can be modelled as illustrated in Figure 1 = 951 kgm² J2 = 950 kgm² equivalent inertias of the rotary system. The shafts provide a stiffness of k1 = 9.9x10¹Nm/Rad k2 = 4.9x106Nm/Rad spectively. The letters in the parameters represent digits of student numbers: A is the third digit, B is the fifth digit, D is the sixth digit, and F is the seventh digit. i) Draw free-body diagrams ii) Write the equations and put them in matrix form iii) Calculate the dynamic stiffness values iv) Find the natural frequencies and draw mode shapes of the system v) Discuss the effect of coupling stiffness k₁₂ on the natural frequencies k₁₁ 01 k12 O Figure Q2.

Determine the DE for: Straight lines at a fixed distance P from the origin. a. (xy" – y)? = P²[1+ (y')²] %3D b. (xy' – y)? = p2[1+ (y')²] c. (xy' – y)3 = p3[1+ (y')³] d. (xy" – y)3 = p³[1 + (y')³] e. none of these