1.69 The two portions of member AB are glued together along a plane forming an angle 0 with the horizontal. Knowing that the ultimate stress for the glued joint is 2.5 ksi in tension and 1.3 ksi in shear, determine (a) the value of 0 for which the factor of safety of the member is maximum, (b) the corresponding value of the factor of safety. (Hint: Equate the expressions obtained for the factors of safety with respect to the normal and shearing stresses.) Ꮎ 2.0 in. B A 2.4 kips Fig. P1.69 and P1.70 1.25 in. 1.24 A 6-mm-diameter pin is used at connection C of the pedal shown. Knowing that P = 500N, determine (a) the average shearing stress in the pin, (b) the nominal bearing stress in the pedal at C, (c) the nominal bearing stress in each support bracket at C. 75 mm 300 mm 9 mm A B 125 mm 5 mm Fig. P1.24 and P1.25 Answer (a) 23.0 MPa. (b) 24.1 MPa. (c) 21.7 MPa. D Page 26
1-Define a cartesion system 2 identify the structure's supports and the type of structure (2D) or 3D 3-If the structure has more than one element dismember the structure and draw free body diagram(show all actions and reactions) on each element independently 4- Determine the type of suports 5- show the unkown supports reactions with any assumed direction but you cannot change the assumed force direction once you dicede 6-In a common joint, you can dicide on the force direction in one element, however, in the other one you need to follow the Newton'ns 3rd law and shoe the opposite direction 7- if you have multiple actions forces in the system, find force components for each foce independently use Sin/Cos/Tan functions to find forces components in two perpendicular directions 8- Add forces in each direction since they are paralled forces Rx=fx Ry=fy Rz= fy
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