5.9. A beam with cross section as shown in Fig. P5.9 is acted on by a moment M = 3kN*m, with its vector 0 forming an angle ax = 20°. Determine (a) the orientation of the neutral axis and (b) the maximum bending stress., 3 A t 80 mm B 90 mm α D Mo Z
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- Problem 1: Auto pistons at Wemming Chung’s plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yrS Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index
- 6. List and explain in detail why we include disturbance term or error term in the model?Suppose that material hardness is normally distributed with a mean of 52 and a standard deviation of 1. Specification limits for hardness are from 45 to 55. What is Cp?ABC company, a textile manufacturing company, has recorded defects in their production for a month as shown in the table below. Following Pareto Analysis, which among the type/s of defects should be solved first to solve 80% of the problem? DEFECT FREQ MISPRINTING 55 SHADE VARIATION 38 UNEVEN DYEING 10 DROP STITCHING 5 DIRT/STAINS 2
- Jim's Outfitters, Inc., makes custom western shirts. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results shows below. Shirt 1 23456 ∞ 7 8 9 10 Defects 10 05 10 4 9 1 4 5 4 a. Assuming that 10 oberservation are adequate for these purpose, determine the three-sigma control limits for defects per shirt. (what are the UCLC and LCLC) b. Suppose that the next shirt has 12 flaws. What can you say abou the process now?Elon Corporation manufactures parts for an aircraft com-pany. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has adesign (nominal) target of 1.275 inches with tolerancesof 0.024 inch. The CNC process that manufacturesthese parts has a mean of 1.281 inches and a standarddeviation of 0.008 inch. Compute the process capabilityratio and process capability index, and comment onthe overall capability of the process to meet the designspecifications.16. Six per cent, on average, of manufactured spindles are outside stated tolerances. The spindles are randomly packed in boxes of 50 and dispatched in cartons of 100 boxes. For any one carton, determine the number of boxes likely to contain 0, 1, 2, 3, 4, 5-or-more defectives.
- 9. Two machines are currently in use in a process at the Dennis Kira Mfg. Co. The standards for this process are LSL = .470" and USL = .476". Machine One is currently producing with mean = .474" and standard deviation .0003". Machine Two is currently producing with mean .4745" and standard deviation .0002". Which machine has the higher capability index? Machine One has an index of (round your response to two decimal places). (round your response to two decimal places). Machine Two has an index of Machine (1) (1) Two One has the higher capability index.ns Management || fall20 Random variation is also known as common cause variation. Select one: O a. TRUE O b. FALSE4. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.3 4 153.5 4.8 5 156.6 4.7 Part 2 a) What is the value of x? x= _______ mm (round your response to two decimal places). b) What is the value of Upper R overbarR ? Upper R overbarRequals= _______ mm (round your response to two decimal places). c) What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx using 3-sigma ? Upper Control Limit (UCL Subscript x overbarUCLx ) = _________ mm (round your response to two…
