Question

Determine the maximum magnitude P of the loads the beam can support if the average shear stress in each pin is not to exceed 80 MPa. All pins are in double shear, and each has a diameter of 18 mm. OP 0.5 m 10.5 m -1.5 m-- 2m -15 m-

Answer 1

Solution: By drawing the free body diagram, we have to find out all the resultant forces of FBD.Then by using the shear force formula we can find out the maximum magnitude P that the beam can support.

solution: P 3P 6 P. AX TAY By the above free body diagram EMAO; plas) & 6P (2) + 3ply) + 8 15.5). Fac ( 7 (6) 20 i Fec - 8.33P IMę30; Ay(6) - plos) - 3p(2) - 6p(4) - pls.s)-0 & Ay = 6P {fx=0; 8.33p (4) - Anzo . An= 6.67 P Therefore, FA = VA + Ay = V (6.67 P) + (6P) 2 8.9692 - By the average shear strey se all the pins are subjected to double shear. e UB: 4 = fee. 8. 33 - 4.16 P & VA= 4.4850 - Here, Pin A is subjected to larger shear force, TVA 80x106 - 4.4859 P = 4.538X10²N ne [P: 4.54 KN 2 - (0.018)2