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A round tubular column has outside and inside diameters of D and d, respectively, and a diametral ratio of K = d/D. Show that buckling will occur when the outside diameter is
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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.50 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.85in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft. (A) Calculate the cross-sectional areas of the three rods. in in.2 (B) For a factor of safety of 2.1, calculate the allowable stresses in the bronze and the aluminum rods. IN KSI. (C) What is the magnitude of load P that can safely be applied to the structure for a minimum factor of safety of 2.1? in kips (D) The pin used at B has an ultimate shear strength of 58 ksi. If a factor of safety of 2.5 is required, determine the allowable shear stress in this pin.…arrow_forwardA straight and piecewise uniform bar ABCD of total length L is in Case 1 fixed at A in case 1 and in Case 2 fixed at both ends A and D. AB = BC = CD = L/3. The cross section area of segment CD is half of the area of the segment ABC, i.e. AABC = 2ACB. A point load of P is applied at B. Assume that bar material is linear and elastic and the modulus of elasticity is E.arrow_forwardA straight and piecewise uniform bar ABCD of total length L is in Case 1 fixed at A in case 1 and in Case 2 fixed at both ends A and D. AB = BC = CD = L/3. The cross section area of segment CD is half of the area of the segment ABC, i.e. AABC = ACB. A point load of P is applied at B. Assume that bar material is linear and elastic and the modulus of elasticity is E.arrow_forward
- just final answer A rigid component ABC is supported by a pin-connected member (1). The member has a rectangular cross-section with dimensions of 54 mm and 48 mm. The elasticity modulus of the material is 169 GPa. If L1=2421 mm, L2=1226 mm, L3=2272 mm, and L4=2072 mm; Determine the maximum normal stress (MPa) in member (1) without buckling.arrow_forwardA steel [E = 25500 ksi] pipe column (1) with a cross-sectional area of A1 = 5.60 in.2 is connected at flange B to an aluminum alloy [E = 17500 ksi] pipe (2) with a cross-sectional area of A2 = 4.40 in.2. The assembly is connected to rigid supports at A and C. For the loading shown, determine the normal force in the steel pipe (1).arrow_forwardA straight bar 450 mm long is 10 mm in diameter for the first 200 mm length and 20 mm in diameter for the remaining length. If the bar is subjected to an axial push of 10 kN, determine decrease in length of the bar. Take modulus of elasticity of bar material E = 2 × 105 N/mm²arrow_forward
- A steel bar 40 mm x 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E= 200 GPa, the elongation of the bar will be (a) 1.25 mm (b) 2.70 mm (c) 4.05 mm (d) 5.40 mm e) none of thesearrow_forwardA horizontal bar, fixed at one end (x = 0), has a length of 1 m. and cross-sectional area of 100 mm2 Its elastic modulus varies along its length as given by E(x) = 100e-x GPa, where is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 KN is applied at the free end (x = 1). The axial displacement of the free end is..... mmarrow_forwardA steel rod with length equal to 12 ft, has a diameter of 0.8 inches in quarter of its length and a diameter of 0.4 inches the rest. If it is subjected to a tensile load of 6,500 lbs, what will be the total deformation of the bar if it has a modulus of elasticity E = 29.5 10^6 psi.arrow_forward
- A steel bar of 40 mm x 40 mm square cross section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the contraction of the bar will be, (a) 1.25 mm, (b) 2.70 mm (c) 4.05 mm (d) 5 40 mmarrow_forwardThe bar shown made from steel (Sut = 80 ksi) is subjected to a fully reversed bending moment of 1250 lb.in. Determine the infinite-life fatigue safety factor for the bar. Given D = 2 in, d = 1 in, h = 0.5 in, r = 0.125 in, Se = 40 ksiarrow_forwardA steel [E = 200 GPa] rod with a circular cross section is 13-m long. Determine the minimum diameter D required if the rod must transmit a tensile force of 23 kN without stretching more than 4 mm. 13.18 mm 28.25 mm 20.13 mm 25.90 mm 21.81 mmarrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning