A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 920 mm². Assume a = 2.4 m, b = 9.0 m, and c = 4.1 m. If P = 60 kN and Q = 75 kN, determine the normal stress in each member. P y B C
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- A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.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).
- A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 70 lb/ft^2 against the full area of the sign. The dimensions of the poles and sign are h1 = 16 ft, h2 = 7 ft, and b = 13 ft. To prevent buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7100 psi in the aluminum. Round your answer to two decimal places. d = ___ in. (b) Determine the minimum required diameter based upon an allowable shear stress of 2100 psi. Round your answer to two decimal places. d = ___ in.A straight girder of uniform section and length L rests on supports at the ends, and is propped up by a third support in the middle. The weight of the girder and its load is w per unit length. If the central support does not yield, prove that it takes a load equal to (5/8)wL. ANSWER: 1.80cm and 2.48cm Please show solution to the answer.The outside diameter of the steel pipe shown is 220 mm and its wall thickness is 6.0 mm. The upper bearing plate has the same width as the reinforced concrete beam it supports. The total load on the column by the reinforced concrete beam is 550 kN. Determine: A. The length L of the rectangular upper bearing plate if its width is 275 mm. and the average bearing stress between the steel plate and the reinforced concrete beam is not to exceed 6.2 MPa.
- For the truss given below, it is desired to determine the normal efforts that act on the members, so that, thus, possible constraints for its design are possible. Consider that at point A there is a second gender support; and at point D, a first-class support. As this is asked: what is the effort acting on bar AB? Is it guidance or assessment?Source: Hibbeler (2004, p. 588). HIBBELER, R. C. Resistance of Materials. 5. ed. Rio de Janeiro: Technical and Scientific Books Publisher, 2004. Question 1 options: a) A compression force of 100 kN acts on bar AB. B) A tensile effort of 100 kN acts on bar AB. c) A compressive force of 141.42 kN acts on bar AB. d) A compression force of 200 kN acts on bar AB. e) A tensile effort of 141.42 kN acts on bar AB.An aluminum pole for a street light weighs4600 N and supports an arm that weighs 660 N (seefigure). The center of gravity of the arm is 1.2 m from theaxis of the pole. A wind force of 300 N also acts in the (-y)direction at 9 m above the base. The outside diameter ofthe pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressivestresses σt and σc, respectively, in the pole (at its base)due to the weights and the wind force.A ladder with a uniform cross-section has a length of 4.80-foot long. It weighs W Ib. It is arranged such that one end is on the ground and the other against a vertical wall. The angle of triction at all contact surtaces is 20 degrees. What is the value of the coefficient of triction? What is f, in terms of variable Na? What is the normal force at A in terms of variable W? Answer in three decimal places
- A wood-stave penstock of 1.8 m diameter is wrapped with steel hoops and subjected to a fluid pressure of 380 KPa. If the allowable tension in the hoop is 42.4 kN, what is the maximum hoop spacing?The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.Polycarbonate bars (1) and (2) are attached at their lower ends to a slider block at B that travels vertically inside of a fixed smooth slot. Load P is applied to the slider block. Each bar has a cross-sectional area of 85 mm2, a lenght of 1.25 m, and an elastic modulus E = 8GPa. Use dimensions of a = 1.15 m and b = 0.90 m. For an applied load of P =1700 N, determine: (a) the forces in bars (1) and (2) (b) the defection at B of the slider block