30 30 The cotter shown in the figure is used to fix the squared spigot rod to the plate. The rod is 28 mm diameter. The yield strength for the cotter and the spigot Square 25 10" rod end is (S,-280 MPa). If a load of (P=100 kN) is applied to the rod, determine cotter 75 a. The shear stress in the cotter plate b. The shear stress in the squared spigot end c. The tensile stress in the squared spigot rod d. The factor of safety of the rod e. The bearing stress between the cotter and the squared spigot end rod 28
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- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.
- A steel column (E = 30 x 103 ksi) with pinned ends is constructed of a W10 x 60 wide-flange shape (sec figure). The column is 24 ft long. The resultant of the axial loads acting on the column is a force P acting with an eccentricity n = 2.0 in. If P = 120 kips, determine the maximum compressive stress ff^ in the column. Determine the allowable load Pallowif the yield stress is ( y =42 ksi and the factor of safety with respect to yielding of the material is n = 2.5.What is the maximum possible value of the clamping Force C in the jaws of the pliers shown in the figure if the ultimate shear stress in the 5-mm diameter pin is 340 MPa? What is the maximum permissible value of the applied load P to maintain a factor of safety of 3.0 with respect to failure of the pin?An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
- A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?A steel post /t if with a hollow circular cross section is fixed at the base and free at the top (see figure). The in net and outer diameters arc d1= 96 mm and d2= 110 mm, respectively, and the length is L = 4.0 m. A cable CED passes through a fitting that is welded to the side of the post. The distance between the plane of the cable (plane CBD) and the axis of the post is e = 100 mm, and the angles between the cable and the ground arc a = 53.13º. The cable is preten-sioned by tightening the turn buck les. If the deflection at the top of the post is limited to = 20 mm, what is the maximum allowable tensile force Tin the cable? (Assume E = 205 GPa.)The stepped bar with a circular hole is made of annealed 18-8 stainless steel. The bar is 12 mm thick and a change in depth from D = 130 mm to d = 100 mm. It will be subjected to an axial tensile load of P = 70 kN. The normal stress in the bar is not to exceed 150 MPa. Determine: a) the maximum allowable hole diameter b) the minimum allowable fillet radius
- The 10-mm-diameter steel bolt is surrounded by a bronze sleeve in (Figure 1). The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (σY)st=680 MPa, and for the bronze (σY)br=490 MPa, determine the magnitude of the largest elastic load P that can be applied to the assembly. Est=200GPa, Ebr=100GPa.The d = 16-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t = 10 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 90 MPa, and the bearing stress between the rod head and the support plate cannot exceed 125 MPa. Determine the maximum value of Pmax that can be supported by the structure.two steel plates are held together by two bolts. a)determine the required diameter of the bolts if the failure shear stress is 300MPa using a factor of safety of 2. b)using the answer from a, determine the steel plates thickness if the failure bearing stress of the steel is 350MPa using factor of safety as 1.5