Q3- A steel pressure vessel is sealed by a steel gasketed cap fastened with 8 preloaded bolts as shown in figure below. The cylinder stores gas at a maximum pressure P=1200 psi. The thickness of the gasketed cap is te =0.5 in, the diameter of the cylinder is d. = 3.25 in, and the diameter of the bolt circle is db=5.5 in. Also, tp=0.5 in. It has been decided to use 7/16 -14 UNC 5/4 (L=bolt length) SAE Grade 8 hex-head bolts with washer. You may assume a non-permanent connection. Determine the load factor nL, and the joint separation factor no. (Elasticity modulus for steel, Esteel=30 Mpsi) %3D Note: P (load per bolt) = Pg AJN, where A, is the area of the cylinder. dhe de 000 00

L = 0.3m A = 20 x 6 mm E= 70 GPa allowable stress = 120 MPa 0.6 m 0.4 m 0.2 m Rigid bar D C W 0.5m 40 x 6 mm 50 GPa wable stress = 80 MPa 16 mm dia. bolt with allowable s 6 mm 80 MPa in bearing and 60 MPa The rigid bar A,B,C,D shown in figure is connected to the ground by a hinge at B and to Magnesium bar at A, Aluminum bar at C. the properties of the bars are shown on the figure. all the connections are using 16 mm bolts in single shear. Determine the maximum safe load W that can be applied. Determine the final position of point D.

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The following figure shows the critical position of a crane that supports 2.5 Tons of load by means of a chain. You are delegated the responsibility of building a crane with similar geometric characteristics and load capacity. The diagram of free body of the crane arm can be redrawn as follows.  (check the attached image "fbd") Assuming that the crane arm will be made of steel with yield stress sigmaY =220 MPa and that you must consider a safety factor of F.S.=1.5, propose a profile from the following catalog for the manufacture of the crane arm. Ignore the effects of shear forces on this element. On the other hand, it is very important that you consider the effects of axial loads. Commercial profiles for arm construction. (Check image "profiles")