Referring to the structural members of truss in the figure, determine the internal axial stress of each member considering the following sections: AB = square bar (25mm) BC = rectangular bar (6mm X 50mm) CD = round bar (25mm diameter) BD = steel pipe (30mm outside diameter @ 5mm thickness) Specify if tensile or compressive stress. 800 N 600 N 60° B 4 m 3 m
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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 large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L1 = 22 Ft, cable 2 has a length L2= 10 ft, and the distance along the panel between lift points Band D is d = 14 ft (see figure part b). The total weight of the panel is W = 85 kips. Assuming the cable lift Forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown. Find the required cross-sectional area AC of the cable if its breaking stress is 91 ksi and a factor of safety of 4 with respect to failure is desired.Problem I. In a high-rise building construction, a boom is being used to efficiently transport materials from the ground to a certain level in the building. Shown below is a figure of the boom supporting the load 'P.' Note: P = 209kN 100 mm- -87.5 mm 2P 12.5 mm dia 10 m -10 m At the right is the support detail at B. a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174 mm?? b) Calculate the shear stress in the pin (in MPa). c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of the cable to sufficiently withstand the force it is subjected to?
- a) What is a truss? Explain shortly in your own words, and illustrate with one example. b) For the truss in the figure below, determine the zero- force members and give a short explanation to support your answer. A -3 m- F 44 B C P -3 m -3 m E 000 D P 3 mA prestressed hollow box cross section is shown in the figure. The area of prestressed reinforcement in the tension zone is 1148 mm2. Use grade 270 for seven wire-strand tendons. fpy = specified yield strength of tendons fpu = specified tensile strength o pre stressing tendons fse = effective prestress after losses fse = 1022 MPa Aps = 1148 mm2 fpy = 0.95fpu fc’ = 34.5 MPa fpu = 1860 MPa a. Compute the Yp factor. b. Compute the stress in prestressed reinforcement at nominal strength. c. Compute for the design moment capacity. d. Compute the effective pre stressing force after losses of stress e. Compute the depth of the compression block. f. Compute the pre stressing steel ratio.Solve the problem shown below. Each answer is worth equal credit. Show all necessary steps of your work clearly to obtain credit. Final answer must be to 3 significant figures and contain units and be in the box. Using P1= 6.0 kips, then determine the reactions and member forces of the truss. a) List reactions at A and K? (Use positive, +, to indicate a reaction that is up, to the right, and counterclockwise.) [30 pts] RAX: RAY: Rkx: Rky: b) Determine the member forces using either the method of joints or method of sections. (Include Units and the correct sign in the answer, (Use: '+'= tension, & '-' = compression) J I H G 4 ft K A -3 ft- B P1 -3 ft- C P1 -3 ft D P1 E -3 ft 3 ft- P1 P1 F FBC: FCJ: FI: FEG: FDH: FIC:
- a) What is a truss? Explain shortly in your own words, and illustrate with one example. b) For the truss in the figure below, determine the zero-force members and give a short explanation to support your answer. B C D A H -1.5 m- G F -1.5 m 1.5 m-1.5 m-- 2 m 2 m EProblem I. In a high-rise building construction, a boom is being used to efficiently transport materials from the ground to a certain level in the building. Shown below is a figure of the boom supporting the load 'P.' Note: P = 135kN -100 mm -87.5 mm 2P P. 12.5 mm dia 10 m -10 m- At the right is the support detail at B. a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174 mm2 ? b) Calculate the shear stress in the pin (in MPa). c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of the cable to sufficiently withstand the force it is subjected to?The figure below shows a simply supported prismatic beam with an applied uniform load. The labeled points A through E are equally spaced (at the quarter points) along the length of the beam and are located at the top of the beam section. Points A and E may be assumed to be located directly above the supports. Rank the points, from greatest to least, on the basis of the absolute value of normal stress in the beam section.
- For the two-bar planar truss shown in Figure Q1 below, determine the displacements of node 1 and the stress in elements 1-3. 2 E = 200 000 MPa A = 300 mm² -500 mm- for both members 300 mm Figure Q1 20 KN 1 400 mm 3Bronze Figure (a) shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the other of bronze. Neglecting the weight of the bar, compute the stress in cach rod caused by the 50-kN load, using the following data: Steel 2 m 1.0 m A Steel l06 m–10 m--0.8 m- Bronze Arca (mm?) 300 50 kN 600 (a) E (GPa) 200 83Consider the roof truss shown below. If each chord (i.e. AG, AE, EG) is a steel tube with a diameter of 356 mm and wall thickness of 14.70 mm and each web member (i.e. internal members i.e. BF,CF, CG, CH & DH) is a rectangular timber section of 291 mm x 212 mm, determine the weight of member CE. Assume Psteel = 7850 kg/m3, Pwood = 850 kg/m³. 2.50 m 36.9 Your Answer: Answer 3 B 2.50 m units 48.2 H C D E