Question

please draw and solve show every thing details “”

Question 3 128 Marks 2 rectangular beam shown in the figure is subjected to a fluctuating axial force. It fluctuates between 5 kN and 15 kN keeping its direction. The beam is to be machined to the dimensions shown in the figure with a transvers hole of diameter d-14 mm/ Material of the beam is AISI 1040 CD steel (S-590 stress concentration factor as 2.2. K Pa, Sy 490 MPa). Take reliability as 0.,99, size factor as 0,92 and a) Estimate the actual endurance strength. (6 marks) b) Draw the load cycle (due to scale) indicating the values of all forces. (2 marks) e) Draw Goodman and yield lines (6 marks) d) Draw the load line and check if the point is located within the safe area. (4 marks)Hi you e) Calculate the design factor.(6 marks) t? D Calculate the design factor based on yielding. (4 marks) w 30m b- 10 mm vio The figure shows the state of stress at a critical point in a part fabricated from Class 20 gray cast iron (S 152 MPa and S -572 MPa). Draw Modified Mohr diagram (due to scale) (8 marks). Determine the design factor based on the state of stress at this point (4 marks). Answer y 30 MP Oz = 50 MPa

Answer 1

The problem is that of the fluctuating loads. Hence, the mean and variable forces can be calculated from the data given, and hence, the mean and variable stresses are calculated.

The endurance strength can be expressed as the product of the reliability , size factor, and the inverse of the theoretical stress concentration factor, with that of the endurance limit. If endurance limit is not given directly, then half of the ultimate limit is taken into consideration. The actual endurance limit can be hence calculated by the method illustrated in the pictures enclosed. Kindly check the same for other detailed solution as well.

Thank You

mAx 1G D /bo Vimx min 3, , as MPa 98.75-9,25. . 2 0 99 9o MPa 0,92. Sres concondonher Honce, the eua endurance Srr uit 3.3 122 13 M 420 mPa -122-13

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