The assembly consists of three titanium (Ti-6A1- 4V) rods and a rigid bar AC. The cross-section area of each rod is given in the figure. If a force of 60 kip is applied o the ring F, determine the horizontal displacement of point F. Hint: Refer to the textbook appendix for material properties. AEF 2 in² 1 ft = 60 kip F-2 ft- 2 ft A C 6 ft B AAB = 1 in² E ACD = 1.5 in² 6 ft D
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- A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stressA slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.The bar ABCD has rigid supports and consists of three prismatic solid segments, as shown. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross-sectional area A2 =1260 mm2 and length L2= 250 mm. Loads PB and PC are equal to 25.5 kN and 17.0 kN, respectively. Determine the magnitude of the compressive axial force FBC (kN).
- The assembly consists of two-rod brass C83400 copper alloy rods AB and CD of diameter 30 mm, a stainless 304 steel alloy rods EF and FG of diameter 40 mm, and a rigid cap H as shown in Figure 2. Neglect the size of the collar at F. Assume that the modulus of elasticity Esteel = 200 GPa and Ebrass = 101 GPa. If the force, P = 5 kN, (a) Sketch the free body diagram and calculate the internal forces acting in each section of the rod. (b) Determine the average normal stress developed in rods FG, EF and AB. (c) Determine the average normal strain in the rod of AB.(d) If the horizontal displacement of end G of rod FG is 0.6 mm, determine the new magnitude of P.The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is w = 70 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 130 MPa, the bearing stress in the bar cannot exceed 140 MPa, and the bearing stress in the bracket cannot exceed 150 MPa. Determine the maximum value of Pmax that can be supported by the structure.A steel rod is acted upon by the loading shown below. 50 mm2 is the area of the circular rod. The coupling sizes at B, C, and D are neglected. Use E st = 200 GPa. c) Force in segment CD, PCD=__________ kN, (insert type of force here) d) Total deformation in the assembly, σ = _____________ mm
- Part of a two story building is shown in the figure in which a concerte column and a steel column are used in the first and second floor. The compressive force on the roof of the second floor is PC = 370 kN. The compressive force on the first floor is PB = 420 kN. The steel [Esteel = 200 GPa] column is a wide angle steel shape that has a cross section area of A2 = 1950 mm2. The concrete [Econcrete = 30 GPa] column has a circular section with a diameter of d = 560 mm.[L1 = 5.6 m, L2 = 5.6 m] Using this equation FL/AELoad P is supported by levers ABC and DB as shown in the figure. Member DB is a truss member and has a square cross-section of 10 mm by 10 mm. If lever DB is made of 2014-T6 Aluminum, determine the maximum load P that can be applied. Take factor of safety 2. ? =100°The assembly below consists of a steel rod CB and an aluminium rod BA, each having a diameter of 12 mm. If the rod is subjected to the axial loadings at A and at the coupling B, determine the displacement of the coupling B and the end A. The unstretched length of each segment is shown below. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa, Eal = 70 GPa.
- Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 20 ksi, the normal stress in brass rod (2) must be limited to 24 ksi, and the normal stress in steel rod (3) must be limited to 12 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 8 kips, Q = 5 kips, R = 20 kips and S = 28 kips. Calculate F1, F2, F3 and..Four 10 kg masses are being supported by an 800mm solid rod. The rod is being supported at both ends, and the rest of the rod is suspended. Determine the smallest rod diameter to support the masses without bending the rod. Assume the Tensile Strength of the Rod material is 500 MPaA wide flange A60 steel column has a length of 4.5meters and pinned ends. If Sx=898x103 mm3, Sy=120x103 mm3, d=358mm, bf=171mm, A=7,159mm2, Fy=414MPa, calculate the design compressive strength in KN of the column. Express your answer in one decimal place.