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Recently Asked Machine Design Questions

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Q1:8:36 47 ‹ Assignment Details 24 SUMMER MEEN 368 700: SOLID MECH IN MEC DESIGN Objective. Apply a combination of theoretical and computational tools to investigate strength and deflection in stepped shaft. Problem statement. An AISI 1020 cold-drawn steel shaft (of ultimate strength 470 MPa and yield strength 390 MPa) carries a transverse load of 10 kN and a torque of 100 N.m. 10 kN 155 55 30 35 40 45 40 35 30 20 - - 1 T +30-> +30-> 4 55 ₹ 60 4 -115 +10 85 150 > 375 (a) (10 points) If the largest allowable slope at the bearings is 0.001 rad and at the gear mesh is 0.0005 rad, what is the factor of safety guarding against damaging distortion? Show the M/I diagram and the deflection curve, and locate the maximum deflection location in the shaft. (b) (9 points) Using the DE-Goodman criterion, what is the factor of safety guarding against a fatigue failure? Assume the fillet radius as 2 mm. (c) (9 points) Conduct finite element simulations (using Fusion 360 or SolidWorks) to compare your findings on deflection, location(s) of critical stress, and FOS. If the land location in mound 1Am mtr +h in right would 20 47 Dashboard Calendar To Do Notifications Inbox 8:36 47 < Assignment Details 24 SUMMER MEEN 368 700: SOLID MECH IN MEC DESIGN (a) (10 points) If the largest allowable slope at the bearings is 0.001 rad and at the gear mesh is 0.0005 rad, what is the factor of safety guarding against damaging distortion? Show the M/I diagram and the deflection curve, and locate the maximum deflection location in the shaft. (b) (9 points) Using the DE-Goodman criterion, what is the factor of safety guarding against a fatigue failure? Assume the fillet radius as 2 mm. (c) (9 points) Conduct finite element simulations (using Fusion 360 or SolidWorks) to compare your findings on deflection, location(s) of critical stress, and FOS. If the load location is moved 10 mm to the right, would stiffness of the shaft increase or decrease? Show the von Mises stress field and the displacement field in the shaft under deformed condition. (d) (2 points) If the shaft turns out to be unsatisfactory, what would you recommend to correct the problem? Relevant resources: Section 3.10 (page 42) in LectureNotes/M1_StiffnessDeflection.pdf and Section 4 (page 38) in LectureNotes/M3_StressFluctuation&Fatigue.pdf available on Google Drive. 20 47 Dashboard Calendar To Do Notifications InboxSee Answer
Q2:Problem 3: (40 pts) The shaft shown in figure below is loaded by a 2500 N lateral force and a 540 N axial force. It is desired to mount the shaft using a straight cylindrical roller bearing at location A and an angular-contact ball bearing at location B. The bearings desired life is 30 khrs life at 300 rpm with a single bearing reliability of 0.96 and a load factor of 1.2. a) Taking into account the bearing type, calculate the radial and axial (thrust) forces on the bearings, Far, FAa, FBr, and FBa. b) Select the most economical 03-series straight cylindrical roller bearing ID size at A. c) Select the most economical single-row angular contact bearing ID size at B. Hint: Use data from Tables (11-2 and 11-3) for the selection. ME 308- Homework # 4 Bearing B Angular contact bearing 260 mm 2500 N 2500 N Shaft 740 mm Thrust =540 N Bearing A Straight cylindrical roller bearing 2See Answer
Q3:Task 3: Starting with a spring index of C = 10, design a compression coil spring of 302 stainless wire with squared ends. The spring is to deflect y = 50 mm, for an applied force of F = 90 N and to close solid when y = 60 mm. At closure, use a design factor of 1.2 guarding against yielding. Select the smallest diameter wire where wire diameters are available in 0.1-mm increments between 0.2 to 3.2 mm. For the design, specify the wire diameter, the inside and outside diameters of the coil, the spring rate, the total number of coils, the free length of the spring, the final factor of safety, and stability conditions. Write a computer program to assist with this task.See Answer
Q4:Task 1: A cantilever is to be attached to the flat side of a 150 mm; 2.3 N/mm channel used as a column. The cantilever is to carry a load as shown in the figure. To a designer, the choice of a bolt array is usually an a priori decision. Such decisions are made from a background of knowledge of the effectiveness of various patterns. a) If two fasteners are used, should the array be arranged vertically, horizontally, or diagonally? How would you decide? b) If three fasteners are used, should a linear or triangular array be used? For a triangular array, what should be the orientation of the triangle? How would you decide? Write a computer program to assist with this task. 150 mm 12.7 mm steel plate -150 mm 150 mm 9000 NSee Answer
Q5: البترول والو معة الملك I King Fahd University of Petroleum & Minerals College of Engineering Sciences Mechanical Engineering Department Term Project This project is focused on shaft design and design of bolted joints involving knowledge of load analysis, failure theories, fatigue loading, and shaft design. In this project, you will design a power transfer device (simplified gearbox) with a minimum factor of safety of 2 (under all loading conditions) as shown below. Shaft 1 G1 Gears Flywheel Bearings G2 Shaft 2 A B DEF Both shafts are shrink fitted on the bearings in the gear box chamber as shown in the figure. For consistency, cylindrical roller bearings with same inner diameter (d1) are used on location B and D for Shaft 1. Similarly, cylindrical roller bearings with same inner diameter (d2) are used on location B and D for Shaft 2. The corresponding distances are given below: Distance 0.05 m Location AB BC 0.02 m CD 0.05 m DE DF 0.02 m 0.04 m Shaft 1 and 2 have gears with gear ratio (G1/G2) of 0.5 between them to increase the output torque. In addition, all members (bearings and gear) of Shaft 2 are press-fitted resulting in a consistent diameter throughout the shaft. The gear on shaft 1 is held by a shoulder and retaining ring where the retaining ring is between B and C. The power transfer device is attached to an engine which transmits 150 HP at w₁ = 4000 rpm on point A on Shaft 1. In addition, a 20 Kg flywheel is also attached on Shaft 1 for power storage (due to torque) at point E. The loads (Weight and Torque) experienced by Shaft 1 due to the flywheel should be considered in the analysis. The diameter of G1 (d1) is given as 0.04 m with a pressure angle (a) of 20° resulting in a tangential force (Ft - perpendicular to the paper) and radial force (Fr) where Fr = Ft tan(a). It is noted that no power is lost during torque transfer from G1 (T1) to G2 (T2) such as T1W1=T2W1 and w1/w2=d2/d1. Project Requirements All parts of the project should be typed using word processor (Microsoft Word, LaTeX etc). All graphs should also be drawn using Microsoft Excel etc. Hand written reports or figures will be penalized. Task Marks 1. Sketch layout for Shaft 1 and Shaft 2 separately. Show all shaft components, pulleys, gears, bearings, keyways, grooves etc 10 2. Perform preliminary analysis to calculate: Diameter of G2 Torque on G1 and G2 Tangential and radial forces on G1 and G2 10 In this project, there are forces in 2 planes. 3. Draw free body diagrams showing all the forces, moments, torques for both shafts separately 5 4. Draw shear force and bending moment diagrams for both shafts 5 5. Draw resulting bending moment diagrams for shafts 1 and 2 5 6. Draw torque diagram for shaft 1 5 7. Re-draw a simplified free body diagram and identify (circle) possible critical locations for shafts 1 and 2. Provide reasons for why you chose those locations. 10 8. Perform conservative design for Shaft 2 using Goodman. Due to high price of stronger materials, this shaft should be designed with 1020 CD. Give final diameter of shaft 2. 10 9. Perform shaft design for Shaft 1 using iterative approach. Use 1020 CD as the starting material. Please show your analysis with the shoulder for G1. 10 10. If 1020 CD is not a good material, please show your analysis using 1050 CD for the modified analysis 11. Check factor of safety at other possible critical locations (shoulders, groove, key, etc) - take corrective action if needed (use 1095 HR steel - please show all steps) – Retaining ring design/groove design will be finalized in the next step. 12. Select an appropriate retaining ring using datasheet from https://www.asraymond.com/external-retaining-rings/CE143 - Take corrective actions if needed. Assume r = 0.25 and q = qshear = 0.65. 13. Report the final Shaft 1 diameters 10 10 10 5 5See Answer
Q6:Two 20° stright bevel gears have a module of 6 mm. The pinion has 15 teeth, and the gear has 60 teeth. The tooth width is 45 mm. The pinion rotates at 500 rev/min and transmits 15 kW. The shaft are 70°. Find a) Gear ratio b) Pitch angle pinion c) Torque Pinion d) Ftp e) Ftg f) Frp g) Frg h) Fap i) Fag j) The forces on the gear are give in a. None Ob. rv= 4 O c. rv= 0.5 O d. rv= 2 Oe. rv= .25See Answer
Q7:Double-threaded worm gear has a lead angle 14.25 deg, and a pitch diameter of 50 mm. The worm drives a gear having 25° pressure angle and pitch diameter 636.62 mm. The gear torque (Tg) is 250 N.m. Determine b) Ftg b) Ftw c) Frw d) Frg e) Faw f) Fag a. Faw= Fag b. Faw=Frg Oc. None Od. Faw = FtgSee Answer
Q8:Problem 3: (40 pts) The shaft shown in figure below is loaded by a 2500 N lateral force and a 540 N axial force. It is desired to mount the shaft using a straight cylindrical roller bearing at location A and an angular-contact ball bearing at location B. The bearings desired life is 30 khrs life at 300 rpm with a single bearing reliability of 0.96 and a load factor of 1.2. a) Taking into account the bearing type, calculate the radial and axial (thrust) forces on the bearings, Far, FA, FBr, and FBa- b) Select the most economical 03-series straight cylindrical roller bearing ID size at A. c) Select the most economical single-row angular contact bearing ID size at B. Hint: Use data from Tables (11-2 and 11-3) for the selection. 2500 N 260 mm 740 mm Shaft Bearing B Angular contact bearing Thrust =540 N Bearing A Straight cylindrical roller bearingSee Answer
Q9:For the proposed design cart from Studio Problem 1, teams conduct stress analysis and design the layout of shaft(s) including the locations of bearing(s), gear(s) and wheels when necessary. For calculations, consider shaft diameter of 25 mm. • Determine the minimum required torque on the driving shaft(s) using acceleration calculations Draw free body diagram of shafts Determine the reaction forces and torques on the shafts Determine the location and magnitude of the greatest tensile, compressive, and the shear stresses in the shaft; use a two-plane analysis if needed (see example 3-9 from the textbook). Draw shear and bending moment diagrams for each shaft • Document each student's contribution to this assignment Objective Students will develop an appropriate understanding of stress analysis, shaft design and find reaction forces using equilibrium equations. Submission Each team will submit their assignment through Canvas in PDF format.See Answer
Q10:Problem # 3 (20 pts) The figure shows a 10 diametral pitch 18-tooth 20° straight bevel pinion driving a 30-tooth gear. The transmitted load is 25 lbf. Find the bearing reactions at C and D on the output shaft if D is to take both radial and thrust loads. 4 50 Six ↓ 1,5 B 3 012See Answer
Q11:5-63 Problem 5-63 The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI 1035 CD steel. Using a conservative failure theory with a design factor of 2, determine the minimum shaft diameter to avoid yielding. 1200 N 150-mm D. 200 N 200 mm 200 mm D. B 200 mm 120 N 1600 N D 150 mmSee Answer
Q12:Problem 2: (15 pts) A brittle material has the properties Sut -210 MPa and Suc- 630 MPa. Using the brittle Coulomb-Mohr and modified-Mohr theories, determine the factor of safety for the following states of plane stress. (a) o 175 MPa, o,-105 MPa [5 pts] (b) a=140 MPa, Try=-70 MPa [5 pts] (c) = -105 MPa, o, 70 MPa, ty=-105 MPa [5 pts]See Answer
Q13:Problem 1: (15 pts) For a bar made of AISI 1030 hot-rolled steel, use the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a) o 175 MPa, ay-105 MPa [5 pts] (b) o 140 MPa, Txy=-70 MPa [5 pts] (c) a=-84 MPa, o, 105 MPa, ty=-63 MPa (15 6) [5 pts]See Answer
Q14:Problem 3 A vertical channel 152 x 76 (see Table A- 7) has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 x 1.5 ISO 5.8. Assume the bolt threads do not extend into the joint. For a design factor of 2.0, find the safe force F that can be applied to the cantilever. Ost -5050-261 -125 12 Dimensions in millimeters.See Answer
Q15:Problem 2 A steel side plate is bolted to as shown a. Determine the magnitude and direction of the shearing stress for each bolt. b. Determine safety factor against shear of the bolt 3 4 1 in. - 10 UNC grade 8 bolts- (3 req'd) ↑ 5 in. 5 in. → BO Column -1 in. 10 in. Side plate P = 10,000 lbSee Answer
Q16:Problem 2: A pair of gears have the following data: number of teeth: gear (33), pinion (15); diametral pitch: 8; cutter pressure angle: 20 degree. The long-short addendum system is used for the tooth element proportions. The tooth thickness of the pinion on the pitch circle is designed to be 15% larger than that for the gear. Determine: a). Cutter displacements e, and e. b). Tooth thickness of the pinion and gear on the pitch circles. c). Diameters of the addendum and dedendum circles of the pinion and gear. d). Contact ratio.See Answer
Q17:Problem 1: A standard gear with 20 teeth has a pressure angle of 20 degrees. The addendum diameter is measured to be 2.2 in. Determine: a) The diametral pitch P. b) The circular pitch p... c) The base circle radius r. d) The base pitch p.. e) The tooth thickness on the pitch circle t. f) The tooth thickness on the base circle 1. g) The tooth thickness on the addendum circle, tSee Answer
Q18:Question 4: (Question 4 is in three parts: A, B, and C) A. A fully automatic 4 station high speed assembly system operates on a cycle time of 7 seconds. It is fed with components having on average 2% defective components. Approximately 80% of the defective components will cause the machine to stop and on average it takes 30 seconds to clear a fault. The machine is required to produce 450 acceptable assemblies per hour on a production run basis. Calculate the 'down- time' on the system due to defective components and comment of the feasibility of achieving the target of acceptable assemblies. Justify any expression used in the analysis. (25 Marks) B. Considering your answer to Part A, suggest ways of reducing down-time on assembly machines caused by defective components. C. If the system in part A is now fed components having on average 25% defective components, what is the probability of making a defective assembly? Justify any expression used in the analysis.See Answer
Q19:(Question 3 is in three parts A, B and C) Analysis of Vibratory Feeder. The track is considered to move bodily with simple harmonic motion along a straight path: F- mp8 mp4,00² Maximum inertia force acting on a part in vibratory feeding when the track is at its upper limit for motion. Forward sliding is shown. 90² 8 A. Assuming that the motion of the part is independent of its shape and that air resistance is negligible and that the part does not roll down the track, show that for backward sliding to occur during the vibration cycle: u, cos 0 - sin 0 cos -u, sin Include in your answer your own diagram, drawn for backward sliding and all your working out./nInclude in your answer your own diagram, drawn for backward sliding and all your working out. B. The operating conditions of a vibratory feeder can be expressed in terms of the dimensionless normal track acceleration An/gn. For values of us = 0.8,0 = 3° (0.05 rad), and y = 30° (0.52 rad) what must the ratio of An/gn be greater than for backward sliding? C. Without reference to the specific conditions in B, but including the assumptions in A, describe the general motion of a part in a vibratory bowl feeder. Does hopping always occur in the vibration cycle? Does hopping occur after forward sliding or after backward sliding? Fully Justify your answer. Include in your answer your own diagrams, and all your working out.See Answer
Q20:Question 2: (Question 2 has three parts A, B and C) A vibratory-bowl feeder orienting system is designed to orient a part that has four orientations on the bowl track. The first device is a step whose performance can be represented by the following matrix: a b С d b с d 0 0 a 0.49 0.51 1.0 0 0.28 0.02 0.3 0.4 0.80 0.1 0.1 0 0 0 (20 Marks) The remaining devices are designed to reject orientations b, c, and d. Experiments showed that the four possible feeding orientations for the part, have the following % probabilities: a: 27% b: 35% c: 35% d: 3% A. Present the complete orientation system matrix and the initial part distribution matrix. B. Determine the feed rate of oriented parts if the input rate to the system is 2.5/sec. C. estimate the effect on this performance if a further identical step is added to the beginning of the system.See Answer

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