A ¼ inch diameter steel rod is to carry an axial load of 2000 lbs. If the yield strength is 38 ksi, will the rod yield?

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")

Determine the material index for a lightweight, stiff axially loaded bar.

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A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a l = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. bf C L Lateral B bracing L 2 A

The one end of a hollow square bar whose side is 10.42 in with 1.42 in thickness is under a tensile stress 102,500 psi and the other end is connected with a U bracket using a pin. Find the minimum diameter of pin is used. Take oall = 243 ksi for pin material.

4. The bar below is subjected to an axial load of P. The safety factor against compressive failure is 1.5. Find the allowable load in KIPS if the material is cast iron. Sin 2in 1 ft

A steel rod on a bridge must be made to withstand a pull of 6000 Ibs. Find the diameter of the rod in mm. assuming a factor of safety of 7 and ultimate stress of 62,000 psi (round off to whole number).

Hi could i please have the workings out, formulas and answer to the attached question.   Thanks.

Kindly show your complete handwritten solution. Answers in mm.