read the questions clearly and address all the questions
2. Problem 7.23 (From textbook: Shigley's Mechanical Engineering Design) 7-23 The shaft shown in the figure is driven by a gear at the right keyway, drives a fan at the left keyway, and is supported by two deep-groove ball bearings. The shaft is made from AISI 1020 12.87 8.50 0.20 2.20 2.75 0.485 0.75 2.0 1.181 1.70 1.750 1.40 1.000 1 1.181 Problem 7-23 Dimensions in inches. 2.0 16 R. R. I X- keyway * 0.15 0.1 R. 37 R. R. 3 X 16 keyway 37 R. cold-drawn steel. At steady-state speed, the gear transmits a radial load of 230 lbf and a tan- gential load of 633 1bf at a pitch diameter of 8 in. (a) Determine fatigue factors of safety at any potentially critical locations using the DE-Gerber failure criterion.Please explain . about how mathematical concept for chapter improper integrals ( ifinite limits of integration discontinuity ) and chapter vectors are : used to solve Statics in problem in mechanical engineering State how these chapter improper .. .integral and vectors concepts are actually used in solving statics problem in mechanical engineering - Please include some sample calculations as to how the vectors and improper integral concepts are used in solving statics " problem " in mechanical engineering The content should include 1. Objectives of the statics problem ( sample statics problem ) 2 . Calculation ( Theorem and equations from from topics ' vectors and improper integral 3. Explanation on the outcome calculation using the methodology 4 . Suggestion on the future work using the same methodology .Problem (10pts) In a progressive die stamping operation, the sheet metal is fed through a series of die sets in a stepwise manner, as shown in Fig.la. As the metal sheets moves along the progressive die stamping machine, more features are created by the stamping operation, which eventually forms the final geometry, as shown in Fig. 1b. A progressive die stamping operation consists of two steps as shown in Fig.1c. With the first die set, the holes are created, and with the second die set, the external profile are created. The dimensions of the features are shown in Fig.1c. The material used in this operation is Al-606176 sheet, which has a shear strength of 200MPa. The thickness of the sheet is 3mm. (1) what are the cutting force requirements for each step? (2) what is the tonnage requirement for the shearing stamping system? (3) Assuming that the clearance allowance of Al-6061T6 is 0.06. What are the dimensions for the die and punch respectively, for the 1" step (i.e. the large square feature)? Finished Part Stock Strip Strip moving direction Slug Slug Slug Slug a. Progressive die stamping operation of sheet metal Sheet moving direction Final part O O O O O O 30mm- O O O O O Dia.=5mm b. Part shape Fig.1 Progressive die operation for the part
