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Recently Asked Mechanics Questions

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Q1:8:53 43 Done ezto.mheducation.com AA Problem Set 02 -... Saved Save & Exit Submit 4 Check my work 5 Part 2 of 6 0.58 points eBook Hint Print References Required information A rope connecting points A and B supports the force F shown in the figure. Write expressions using Cartesian vector representation for the following. Take L = 10 ft and F = 14 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y L B x / 1 30° F < Prev 5 6 7 9 of 17 S V 8:53 43 Done ezto.mheducation.com AA Problem Set 02 -... Saved Save & Exit Submit 4 Check my work 5 IENIESCHILOLIVII IVI LITE ! Required information Part 2 of 6 0.58 points eBook Hint Print References NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y L x 1 30° F T BA : the position vector from B to A. (Round the final answers to four decimal places, Include a minus sign if necessary) T BA = ( + j ) ft < Prev 5 6 7 .. 9 of 17 S A ESee Answer
Q2:3. Obtain the membrane stress resultants for the axisymmetric shell whose cross-section is shown below. The shell is filled with a liquid of density y to the level indicated and the self weight of the shell is negligible. The shell is supported on a ring beam at the position shown. Sketch the distribution of the meridional resultant, Nm. A Im B CONE 3m 30° GO F SPHERE C 2m RING BEAM DSee Answer
Q3:1. Obtain the membrane stress resultants for the shell whose cross-section is shown below under its own weight W/unit area. Com 30m 40m 1 70m 100 ₥See Answer
Q4:Problem: Water flows through a turbine (T) from reservoir A to reservoir B, as shown in the figure. Determine how much power is the turbine able to generate and provide to the electric grid (turbine efficiency = 0.70) for a discharge Q of 2.2 m3/s? Also, sketch the energy grade line (EGL), indicating all energy losses, changes in slope, and abrupt changes. Make sure your figure can be interpreted even if it is not perfect. Assume the pipe material is cast iron with roughness Kg = 0.25 mm, kinematic viscosity v= 10-6 m2/s, the coefficient for entrance losses Ke = 0.5, and a= 1. ZA= 780 m A ZB= 80 m 1 = D1 = 1.5 m L1 = 690 m B T D2= 0.8 m L2= 4100 mSee Answer
Q5:1. As part of your role at a heavy-goods vehicle manufacturer, you have been asked to determine the drag caused by the boundary layer developing along a section of the trailer roof, which can be treated as having constant pressure, as the truck travels at 10 m/s. The velocity profile in this region is given by: u- us 2/7 +A ++1)+B where us is the velocity at the edge of the boundary layer. A and B are constants. a) How many primary and auxiliary boundary conditions need to be satisfied? What values must A and B take such that these boundary conditions are satisfied? [8 marks] b) By evaluating the ratio between the displacement thickness (8*) and the momentum thickness (0) of the boundary layer, determine whether the boundary layer on the trailer roof is laminar or turbulent. [7 marks] c) The thickness of the boundary layer at locations x = 0.1 m and 0.5 m is measured using Pitot probe data to be 8 = 4 mm and 8 = 14.5 mm, respectively. Calculate the displacement and momentum thicknesses at these locations. [4 marks] d) The trailer roof has width 2 m. Use the von Karman integral momentum equation to determine the total drag contribution due to the boundary layer between x = 0.1 m and 0.5 m. Assume p = 1.3 kg/m3. [6 marks] 2. You work for an aerospace company which is due to start testing a design in a supersonic wind tunnel. It is a two-dimensional, blow down wind tunnel with rectangular cross-section. The width of the wind tunnel is 100mm and the height at key points is provided in Figure Q2a. At x = 0 mm, the stagnation pressure is always 175 kPa and the stagnation temperature is 300 K. Prior to your test entry, you are given calibration data measured using a Pitot probe mounted in the centre of the test section during wind tunnel start up when the wind tunnel is empty. Your task is to evaluate whether the readings provided by the Pitot probe are sensible to check whether it is working correctly. You can neglect boundary-layer effects throughout this question. a) During supersonic wind tunnel operation, the Mach number in the test section of the tunnel is 2.5. By considering the area ratio between the test section and the throat. determine the height, h, at the throat (x = 50 mm). b) When the peak Mach number in the wind tunnel is 1, what is the stagnation pressure at the Pitot probe location, x = 600 mm? c) When a normal shock wave is in the test section at x = 400 mm, what is the Mach number of the flow ahead of this shock wave? What is the stagnation pressure before and after the shock? d) The wind tunnel starts at time t = 2 s and shuts down at time, t = 15 s. The normal shock wave crosses the Pitot probe at t = 10 s. You are given Figure Q2b, which shows the pressure measured by the Pitot probe as a function of time. Annotate the key timings on a copy of this graph and describe what these correspond to in terms of the tunnel flow. Also explain (with the help of sketches) whether the Pitot probe is functioning correctly. [7 marks] [4 marks] [6 marks] [8 marks] 3. You are on a placement in a chemical plant and have been asked to calculate the force on the walls of a circular pipe (radius, R = 0.02 m) using pressure tappings at the two stations (A and B) shown in Figure Q3. The chemical in the pipe has viscosity, u = 5 x 10-3 kg / m s, and density, p = 660 kg/m3. The pressure tappings are separated by a distance, L = 20 m, and are connected to a manometer filled with water (p = 1000 kg/m3) with an indication, Ah = 40 mm. a) Is the pressure at B higher or lower than the pressure at A? For g = 9.8 m/s2, calculate the magnitude of this pressure change. [7 marks] b) The flow in the pipe is laminar and fully developed, so can be assumed to follow a Hagen-Poiseuille distribution: u = 4 4u dx 1 ªP -(r2 - R2) What is the velocity at point 1 in section B, which is located 0.01 m away from the pipe axis? [5 marks] c) What is the maximum velocity across the cross-section at station B? What is the maximum velocity at station A? [7 marks] d) Recall that the critical Reynolds number for transition in pipes occurs at Reynolds numbers based on the diameter in the range Rep = 2300 - 3500. Explain whether our assumption of laminar flow is reasonable. [6 marks] A L B 0.01 m chemical Y Ah water Figure Q3: Chemical flow through a pipe 1 R 4. You are responsible for the design of the convergent nozzle for a turbojet engine fitted to a civil aircraft, as shown in Figure Q4. During operation at an altitude of 10,000 m, the aircraft flies at 300 m/s and the flow exhausts to atmosphere, where the pressure is 26.5 kPa and the temperature is 223 K. In this question, you should treat the flow as quasi-one-dimensional and inviscid. a) The radius of the nozzle satisfies the equation R(x) = 2-0.44 x2 where both x and R are expressed in metres. What is the area ratio between the nozzle inlet (x = 0.0 m) and the nozzle exit (x = 1.5 m)? b) The turbine exit temperature is the stagnation temperature, To = 400 K, of the flow in the nozzle. Similarly, the turbine exit pressure is the stagnation pressure, Po, of the flow in the nozzle. When the turbine exit pressure is 35 kPa, what is the Mach number at the nozzle exit? c) In a different scenario, the turbine exit pressure is 70 kPa. What is the Mach number of the flow at the nozzle exit? Also determine the Mach number at the nozzle inlet. d) The turbo-machinery team within the company have asked you to specify what exit pressure of the turbines results in perfectly expanded flow, with minimal expansion and compression waves outside the nozzle. What is this turbine exit pressure? [6 marks] [6 marks] [7 marks] [6 marks] combustion compressor chamber turbine nozzle p = 26.5 kPa T = 223 K capture streamtube p = 26.5 kPa T = 223 K Ro nozzle inlet, nozzle exit, x = 0.0 m x = 1.5 m Figure Q4: Diagram of turbojet engine 100 mSee Answer
Q6:1. Write one paragraph describing the function of a replacement stent for an aortic aneurysm. Include in your answer details of the materials commonly used in the fabrication or the preparation of these stents. (7 marks) 2. Write one paragraph (approx 100 words) to define each of the following concepts related to medical devices in general and replacement heart valves in particular (7marks for each): • SAFETY • EFFICACY • QUALITY 3. Using the ISO 10993 Guidelines for biocompatibility testing as a reference, determine the tests required to demonstrate the biocompatibility of Vascular stents. (6 marks) Instructions: Word requirement – min 500 words Plagiarism free Solutions generated from any AI platform is strictly Prohibited Referencing and formatting Style APA Need Typed Solutions only.See Answer
Q7:EACH QUESTION IS WORTH 12.5 POINTS. QUESTION 6.3.7 IS A BONUS QUESTION FOR 10 POINTS. 6.1.1. Using the time and space criteria, classify the following open channel flow scenarios (steady or unsteady and uniform or varied): a. Constant flow in a long, prismatic channel with a mild slope. b. Flow in the transition of the channel in part (a) to a channel with a steep slope. c. Flow on a sloped parking lot during a uniform-intensity rainfall event. d. Flow on a sloped parking lot during a rainfall event that decreases in intensity over time. e. Flow in a prismatic channel from a rapidly opening sluice gate. f. Flow during the dry season in an urban (natural) stream. 6.2.1. A concrete channel with an unusual cross section carries water at a flow rate of Q=30 m3/s. Determine the channel's slope. Use table 6.2 to find manning coefficient 4.0 m 1.6 m 3.6 m 2.0 m 6.2.4. A 3-m-wide rectangular irrigation channel carries a discharge of Q= 50 m3/s. The channel has a slope of 0.041 and a Manning's coefficient is n=0.022. Determine the normal depth using successive substitution. 6.2.8. Uniform flow occurs in a 20-ft-wide rectangular channel with a discharge of 2,520 cfs. If the normal depth of the flow is 15 ft, what will be the new normal depth when the width of the channel expands to 30 ft? Assume that the slope and channel roughness remain constant in both channels. 6.2.9. Determine the diameter of a corrugated-metal, storm water pipe that is designed to carry a flow rate of 5.83 m3/s while flowing half full. The slope of the pipe is 0.02 m/m and uniform depth is assumed. Also, determine the pipe size required to carry the same flow rate if the pipe is to flow full. HINT: A = (1/8)(20 - sin 20)do2; and P = 0do 6.2.10. Design a trapezoidal channel and a rectangular channel to convey 100 cfs on a slope of 0.002. Both channels are lined with concrete. Specify width, depth, and side slopes. In both cases, try to obtain channels where the depth is about 60% of the bottom width. 6.3.2. Design the best hydraulic (rectangular) section for a metal channel to carry a flow rate of 31.2 cfs on a slope of 0.04. 6.3.3. An open channel (n=0.011) is to be designed to carry 7.14 m3/s on a slope of 0.0063. Find the diameter of the best hydraulic section (semicircle). HINT: A = (1/8)(20 - sin 20)do2; and P = 0do 6.3.7. Determine the side slopes of the best hydraulic (triangular) section.See Answer
Q8:CEE 341 Fluid Mechanics for Civil Engineers Homework # 6 Problem 1 In a lab experiment, it has been found that the velocity profile in a pipe where the flow is turbulent (this will be defined in the next module) is: V = Vmax ¥ (1-2)", where Vmax is the maximum velocity in the centerline of the pipe; r is the radial distance from the pipe centroid; ro is the radius; and n is an exponent that depends on the flow condition and that varies between 1/6 to 1/8. Derive a formula for the kinetic energy correction coefficient a for the given velocity profile. What is a if n = 1/6? Problem 2 A pipe is attached to a tank and discharges water in the atmosphere as shown in the figure. The head losses up to point B are 0.4 m, the head losses up to the nozzle are 1 m, and the kinetic energy correction factor a is 1 everywhere. (1) What is the discharge? (2) What is the value of pressure at B? 1.5 m Water B + 40 cm diameter 3.5 m 1 «20 cm-diameter nozzle 1 Problem 3 A pipe with a venturi meter withdraws water from a tank as shown in the figure. Find the head losses at the throat of the venturi meter under these conditions: - Cavitation is just about to occur at the throat of the venturi meter. The vapor pressure of water at 20 °℃ is 2340 Pa abs. - Velocity in the portion of the pipe with diameter D is 4 m/s. D = 30 cm, d = 15 cm, Patm = 100 kPa, H = 5 m. - Assume steady flow and a = 1.0 everywhere. H D 1 Water T=20°C 0 Problem 4 A pump draws water from a tank (point A in the figure) through a pipe with diameter D = 20 cm, and discharges it into air at point C. Find the height h from the water surface to C (see figure) when: - Velocity in C is 3 m/s; - The pump receives 42 kW from the electric grid and operates at 63% efficiency; - The head loss in the pipe between A and C is 1.5 * V2/g; - a = 1 at all locations. C h Pump A Y Water 2 dSee Answer
Q9:MAE 242 Summer 2024 HW5 Problem 1: Consider the pipe system presented here. You have fluid flowing into a pipe at Point A. Point B is capped, so no fluid is flowing out of the top of the pipe. There are two outlets: Point C and Point D. If water flows in the Pipe at Point A with a Velocity at 8 m/s and has a diameter of 100 mm. The outflow pipes at Point C and Point D each have a diameter of 20 mm. The height of the pipe is 5 meters. Determine the Velocity at Point D and Point C. What is the pressure of the fluid in the Pipe at Point A? Point B Point D Point C Point A Problem 2: A milkshake has fairly similar density to that of water (p = 1200 kg/m3) but is far more viscous with µ = 1 kg/m*s. d Part A: Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so Plung = Patm - 3000 Pa.). You find that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, d, would you need to push the straw in order to just start to sip the milkshake? Part B: Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of -3000 N/m2. What volume flow rate of milkshake can you produce through the straw? Hint: You may want to use a pseudo-streamline with station 1 at the surface of the milkshake. You also might want to assume you have laminar flow through the straw, which you can check once you have a solution.See Answer
Q10:The Amazon delivery drone A drops a package when the drone has the velocity VA and the acceleration aд shown at t=0. Assume that the wind creates a constant horizontal resistance of 0.1 m/s² on the projectile. Determine at, an and the radius of curvature of the package P when the package drops h=10 m in altitude using (a) vector algebra (dot product), and (b) vector decomposition. Requirement: Set up the x-y frame (axes and the origin) of your choice, and clearly mark it in the problem picture. Your +x can be to the right or to the left. Your +y can be upward or downward. Your origin can be anywhere. It is your choice, but you must show me in order to use any projectile motion equations. Ans: at 8.6231 m/s², an=4.6785 m/s², rho=566.8 m P Wind UA-50% ·AA = 3 m/s² h 60° DSee Answer
Q11:4. (25 points) In the crouching position, the lower leg is held in equilibrium through the action of the patellar ligament, which is attached to the upper tibia and runs over the kneecap. As depicted in figure below, the forces acting on the lower leg are N, R, and T. If the lower leg is in equilibrium, determine the magnitude of the tension T in the patellar ligament, and the direction and magnitude of R. Assume that the tension acts at a point directly below the point of action of R. Take the normal force equal to 100 lb (half the body weight), the weight of the leg Wleg as 20 lb, and the angle a = 40° (for the leg at a 45° angle). Is the ACL in tension? Patellar ligament 1.5" T 7" leg ↑R 7" 7 Figure 3: Forces on the lower leg during crouching.See Answer
Q12:2. (25 points) A 200 lb man stands on his right foot while carrying a 100 lb in his left hand. The center of mass of the bag is 12 in from his center of mass as shown in the figure below. (a) Show that the placement of the foot (as shown) leads to no net torque in the body. (b) Find the force (its magnitude and direction) on the head of the support femur and the force in the hip abductor muscle by examining the right leg. (c) Compare your answers in parts (a) and (b) with what was found for the man holding no mass - without and with a cane (for W₁ = 880 N = 200 lb). Are the forces here greater than for a (200 lb +100 lb) 300 lb man (with no cane). Why? (The muscle angle and leg mass are only trivially different for the problem given here and those analyzed above.) 36" 71% 200 lb. c.g 31lb. 20" 100 lb. 300 lb. 300 lb. Figure 1: Forces on hip and femoral head while standing on one leg and lifting a weight with the opposite hand.See Answer
Q13:To do: Need to make 1 question the homework and answer that .You could use these questions as reference to make the question. Make sure that the question you make is related to the questions student sent, in terms of concepts. Format for solution : The question made Givens and assumptions Sketches Solving Discussion/n Problems 6, 11, 26, 37, 46 17–6. Determine the moment of inertia of the assembly about an axis which is perpendicular to the page and passes through point O. The material has a specific weight of y = 90 lb/ft³. Problem 17-6 0.5 ft 1 ft G 2 ft 0.25 ft 1 ft- 17-11 The pendulum consists of a 2-kg disk and slender rods AB and DC which have a mass per unit length of 2 kg/m. Determine the length L of DC so that the center of mass is at the bearing O. What is the moment of inertia of this assembly about an axis perpendicular to the page and passing through point O? Problem 17-11 0.2 m A 0.8 m 0.5 m B 17-26. The jet aircraft has a total mass of 22 Mg and a center of mass at G. Initially at takeoff the engines provide a thrust 27 = 4 kN and T' = 1.5 kN. Determine the acceleration of the plane and the normal reactions on the nose wheel at A and each of the two wing wheels located at B. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. Problem 17-26 T 2T -1.2 m 2.5 m 2.3 m B -3m 6m 17-37. The crate of mass m is supported on a cart of negligible mass. Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. Problem 17-37 P- B 17-46. Determine the greatest possible acceleration of the 975-kg race car so that its front wheels do not leave the ground and none of the tires slip on the track. The coefficients of static and kinetic friction are μs = 0.8 and μk = 0.6, respectively. Neglect the mass of the tires. The car has four-wheel drive. Problems 17-45/46 A 1.82 m -2.20 m 0.55 m BSee Answer
Q14:Need to re write/n 11.36 ди avat T -P • - -1 Cv av = av T 2 пар = (음악), ат (3) +13-2 = To =0 (2) & (P+ na P 50/50 Ronhaar Khan Cv 淵 av 20 = (26) วน аѵат ✓. ЈТ =RT n² ) ( σ- nb) = @n=1 = RT. = v-b R U-b - 어익 2 aP = 0 ар ат (b) Ср-си G-C-7(1) (+), วน +P этр (³² ) + 1) = (³²+), эт ат a (P+ 3.) (1-0) - AT دو = RT (4)()) - (34) (++) (-23) + RT) Gp - Cv = + ат RT V-b R |- 2a (v-b) RTV ³° ат av эт = RT R v-b (p-b) 2 -29 ひ 3 Scanned by CamScanner (c) ди 2v 20 2V JT "J v2 TOP ), - P V₁ ہر U₂-4 du = Tz = - v. а a पर afi dv - Cv = (24/7) ат S (a + bT) dT U₂ = 5° du P = RT 0-b - а વ્ ૭ ૨ ds = CvdT Τ + ds)₁ = "Cudy 左 (as) r = S ($52-S₁) = T +9 + R dv V-b R dv √-b R lnl V₂- b T₁ U₂-U, a (1₂-Ti) + T2-Ti ૨ ds ds = Cv dT + R dv T v-b₂ 145 = 5% +5° =(a+b) dT + 52-51 π = a ln T₂ V₁ R dv V-b (1/1) + b (T₂- T₁) + Rln (N/₂-b1 Nz V₁-b Scanned by CamScanner (11.41) ds = du 1 Gudt T - T A S(T₁, P') - S(T,P') = ( + + B) AT Sds = S (A+B) dT = Aln (14) + B (Tz-T₁) S(T, P₁ = S (T, P') = √ Lav = √ T = Rln (vx_b) - S(T₂, P') - S(T₂, P,) = S^² e dv S₂-S₁ = Y = Ren/ Ny-b = R In (Nix-131) R dv V-b d 2 Rdv = S² R V-b 1 In (1/1) + B (1-T) + Rlm (V₁-b A Tz Ren (Vi-by) + Klon √2-b Vy-b Scanned by CamScanner (11.46") ^(1/1) - 1 (17) = = -P U (Tv) - U (T,V') - SV (Tar) - P) dv [{[(U(TN) - U* (+)}]] - (U (TV) - U^(+)] = U(TN) - U*(7) * I'm U" V'+00 U (Tv) - V^ (7) = √ [ T ( de ) √ - p] dv dT σ ds 00 dv T = dP dr S(TV) - S(TV') = ST ( d ), P = RT dP d7 R V dr dv S* (T₁y) - 5* (Iv') = √ R² dv 1 [S(TV) - 5* (TV)] - [S(TV) - ST (T,V)] = √ ((), dP V' S (TV) - ST (TV) = √(T(AP) - 1] 1 R пр Y e) Scanned by CamScanner (11.50) 3 T₁ = 27 = 300 K T2=-48°C: P₁ hi-b₂ ६ TC = = 10 MPa 191K = 225 K P₂ Рс = P 5 2MPa = 46.4 bar M = 16.04 kg/kmod == [5 (1-7) - 1 ( (5-5)-(1-3) 1 M - اچھے (T₁-T₂) PR₂ = 11 = 15/2018/2 = = RTC (T:( 100 46.4 20 46.4 = = RTC 區 20155 = 0431 те T2 300 191 To₂ = I2 = 225 Tc 191 = =1.57 = 1478 RTC 2 1 Ꮗ 1 16.04 = 0.34 h-b 1 RT, 300-225) - 8.314×191x 35 (300-215) - 8.314 x 131x (0·34-1)) 35x75 + 1048 1048] =/98.313 KJ/K9 16.04 Scanned by CamScannerSee Answer
Q15:Reference question. Make a question similar to these |/n Problems 6, 11, 26, 37, 46 17–6. Determine the moment of inertia of the assembly about an axis which is perpendicular to the page and passes through point O. The material has a specific weight of y = 90 lb/ft³. Problem 17-6 0.5 ft 1 ft G 2 ft 0.25 ft 1 ft- 17-11 The pendulum consists of a 2-kg disk and slender rods AB and DC which have a mass per unit length of 2 kg/m. Determine the length L of DC so that the center of mass is at the bearing O. What is the moment of inertia of this assembly about an axis perpendicular to the page and passing through point O? Problem 17-11 0.2 m A 0.8 m 0.5 m B 17-26. The jet aircraft has a total mass of 22 Mg and a center of mass at G. Initially at takeoff the engines provide a thrust 27 = 4 kN and T' = 1.5 kN. Determine the acceleration of the plane and the normal reactions on the nose wheel at A and each of the two wing wheels located at B. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. Problem 17-26 T 2T -1.2 m 2.5 m 2.3 m B -3m 6m 17-37. The crate of mass m is supported on a cart of negligible mass. Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. Problem 17-37 P- B 17-46. Determine the greatest possible acceleration of the 975-kg race car so that its front wheels do not leave the ground and none of the tires slip on the track. The coefficients of static and kinetic friction are μs = 0.8 and μk = 0.6, respectively. Neglect the mass of the tires. The car has four-wheel drive. Problems 17-45/46 A 1.82 m -2.20 m 0.55 m BSee Answer
Q16:7. A torque T = 100 N·m is applied to the shaft EFG. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting a force P. The sprocket B, gear C, and gear F have pitch diameters of a = 150, b = 250, and c = 125 mm, respectively. The contact force between the gears is transmitted through the pressure angle of 20°. The bearings at A, D, E, and G are simple supports. (15' in total) (1) Determine the tangential and radial forces that the gear F exerts on the gear C. (2) Determine the torque on gear C and sprocket B and determine the force P. (3) Determine the bending moment at the point B and C./nB d = 30 mm -f=250 mm e = 75 mm E a g= 125 mm Y Schematic Figure for Problem #7 T = 100 N.m c = 125 mm x P a = 150 mm View a-a b=250 mmSee Answer
Q17:6. A shaft is to be designed for a linkage of a windshield wiper mechanism for a truck. A 20-N force (F1) is applied to lever 1, which is mounted onto the shaft, by an adjacent link. The reaction force (F2) on lever 2, which is also mounted onto the shaft, is transmitted to another link. The distance (d) between elements is 20 mm. Use SAE 1137 cold-drawn steel for the shaft material. (15' in total) 1) Show the torque distribution from A to D. 2) Plot the shear and bending moment diagrams for the A-B-C-D region of the shaft. 3) Determine the minimum acceptable diameters for the shaft at point C. Take C₁ = 0.9, CR = 0.75, design factor N = 3, stress concentration factor K₁ = 2. Kt/nx y Fi Lever 1 60 mm Schematic Figure for Problem #6 D Lever 2 40 mmSee Answer
Q18:5. A toggle device is being used to compact scrap steel shavings. Design a suitable diameter for the left link of the toggle to be steel, SAE 5160 OQT 1000, with a circular cross section and pinned ends. The force P required to crush the shavings is 5000 lb. Use safety factor N = 3.50. (10' in total) -Shavings Crushing force = 5000 lb 60 in- 60 in- -Toggle links- 15° Applied force D = ? T Section A-A A Length typical both linksSee Answer
Q19:4. The stepped rod shown is subjected to a direct tensile force that varies from 8500 to 16 000 lb. If the rod is made from SAE 1340 OQT 700 cold drawn wrought steel, use Goodman criterion to determine the design factor. Take reliability as 90%. Stress concentration needs to be considered at point B. (10' in total) F A 1.00-in dia. B r = 0.05 in 0.63-in dia. F CSee Answer
Q20:3. The diameter of the main shaft portion, labeled A, B, and C is 8.736 in. The left load 20 kip remains constantly applied, while the right load is applied and changes from 40 to 80 kip as the machine cycles. Determine the stress ratio for the point B. Also, for the same point, use the maximum shear stress theory to determine a specific material type under Aluminum alloy 2219. Take safety factor N = 4. (20' in total) A 20 kip 12 B Dimensions in inches 16 Bearings at A and C act as simple supports 40-80 kipSee Answer

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