This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F=0.55 kN, P=4.0 kN, and T=25 N•m. (For AISI 1006 cold drawn steel, S,=280 MPa. “D." means diameter) (a) Calculate factor of safety at the position A based on the distortion-energy theory by calculating the von Mises stress. [6] (b) Calculate factor of safety at the position B based on the distortion-energy theory by calculating the von Mises stress. [6] 100 mm 15-mm D.

For a 1040 steel solid square bar, determine the endurance limit or Se based on the following information describing the loading condition, reliability factor, etc.

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")

A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft.  (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods.  Use the correct sign for each force.  By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively.  By…

Required information Given a bar made of brittle material, properties of Sut= 30 kpsi and Suc = 90 kpsi and with stresses of Ox= -15 kpsi, Oy= 10 kpsi, and Txy=-15 kpsi. For the given state of plane stress, determine the factor of safety using the Coulomb-Mohr theory. The factor of safety is

Question 6 A B 112 mm 1.2 m 0.9 m Figure 6 The structure supports force P=75 kN, as shown in Figure 6. The solid circular rod BD is made of A992 steel: a. Find the vertical and horizontal component acting on the pin of the pulley C. b. Find the compressive force in the rod BD. c. Find the effective length-factor for BD. d. Express the radius of gyration about any centroidal axis for a solid circular area as a function of the diameter of a circle. e. Find the critical effective slender ratio (KL/r), according to the AISC specifications. f. Determine the required minimum diameter of the A992 steel solid circular rod BD to the nearest mm as allowed by the AISC specifications. g. Determine the F.S. for buckling of the designed rod DB. -0.9 m P