Question

Young's modulus is E the expressions for deflections of points A and B due to the force F applied at the end of the step shaft that the I values for the 2 segments differ by a factor of -2.0), l-25 in, and F12 kip, evaluate the (2) The second area moments for sections AB and BC are hand 2/1, respectively. The material's (a) Treating all the symbols listed in the figure as knowns, use the Castigliano's method to determine (b) if E-30Msi, diameter of segment AB is 3.0 in, and diameter of segment BC is 3.5676 in (verify expressions you found in Part (a). B (calculate the ratio of dBs in part c and part b)? that affect the deflection at Point A? (c) if everything stays the same as in Part (b) but 1-40 in, how does that affect the deflection at Point (d) if everything stays the same as in Part (b), but the material is replaced by aluminum, how does B 21

Answer 1

(PART : A)UAB = 1/2 2E12-48E12、'- 9FL3 48EI1 2EI1 48EI 3 96E11, YA = 48E1-PART : B)1 = 1 .999. YB = 1 .664 mrn. YA = 7.4880mm

(PART : A)UAB = o 2E 48EI /2 2E12 48EI aU 24E11. Uttal = UAB+UBC YA 4SElI (PART : B)1 ,ー= 1.999. YB = 1.664mm, YA = 7.4880,nm (PART : C)}B-6.815mm (PART : CY4- 22.121mm