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 = 1580 mm². Assume a = 1.8 m, b = 8.9 m, and c= 3.6 m. If P = 50 kN and Q = 75 kN, determine the normal stress in each member. P L. C Answers: OAB = i OBC= i JAC = i a b MPa (C) MPa (T) MPa (T)
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- 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.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 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.
- 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 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.
- Figure 1 below shows the bronze and galvani pipes are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The bronze pipe is twice as long as the galvani pipe. Two equal and symmetrically placed loads P act on the plate at C.The rigid bar ABC is suspended from three wires of the same material. The cross-sectional area of the wire at B is equal to half of the cross-sectional area of the wires at A and C. Determine the tension in each wire caused by the load P.A solid square steel bar is fixed at one end as shown, and is loaded with a 25 kg weight. If the limiting stress of the bar is 27.24 kPa determine the cross sectional area of the steel square bar and its dimensions.
- A cable with supports at the same elevation has a span of 300m. The cable weighs 75 N/m and the sag at midspan is 75 m. Determine The length of the cable.A retaining wall 6 ft high is constructed ofhorizontal wood planks 2.5 in. thick (actual dimension)that are supported by vertical wood piles of a12 in. diameter (actual dimension), as shown in thefigure. The lateral earth pressure is p1 125 lb/ft2at the top of the wall and p2 =425 lb/ft2 at the bottom.(a) Assuming that the allowable stress in the woodis 1175 psi, calculate the maximum permissiblespacing s of the piles.(b) Find the required diameter of the wood pilesso that piles and planks (t = 2.5 in.) reach theallowable stress at the same time.Hint: Observe that the spacing of the piles may begoverned by the load-carrying capacity of either theplanks or the piles. Consider the piles to act as cantileverbeams subjected to a trapezoidal distribution ofload, and consider the planks to act as simple beams between the piles. To be on the safe side, assume thatthe pressure on the bottom plank is uniform andequal to the maximum pressure.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