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 = 1520 mm2. Assume a = 2.3 m, b = 8.8 m, and c-3.6 m. If P = 45 kN and Q = 85 KN, determine the normal stress in each member.
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- Solve the reinforcement using the method of nodes. Calculate the reactions and forces in the bars (indicate if they work under tension or compression). Data: L1 = 5m, L2 = 3m, L3 = 4m, P = 200kN, 0 = 60° %3D %3D L3The 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 new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 155-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 9.5-N. If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with θc = 16.5° and θb = 33.6° as shown in the figure, what is the tension in the cable, in newtons? What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? Use the coordinate system specified in the figure. What is the y-component of the force, in newtons, that the hinge exerts on the bottom of the beam? Use the coordinate system specified in the figure.
- A new art exhibit featuring mobile works is going up in the Norwalk, CA area. One art work is shown in the figure below. A 105 N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached 3/5 from the bottom of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 7.5 N. 10 WALL FLOR (a) ( If one shoe is attached 1/7 of the way up the beam and another shoe is attached 5/8 of the way up the beam, with e, = 70.1° and e, 30.1°, what is the tension in the cable, in newtons? %3! %3D (b) What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? (c) O What is the y-component of the force, in newtons, that the pivot exerts on the bottom of the beam?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 places600 N 0.4 m 0.4 m -03 m-03 m-03 m-03 m- The frame shown is supported by fixed support at E and smooth surface at A. Find: • the internal forces exerted by the internal Pin at B. Bx=.. ByD • The internal force at D
- M1 B A 1.5 m -2 m -2 m P1 1.5 m A frame consists of members AB and BC pinned together with an internal pin at B. A and C are pinned external supports. Calculate the value of support reaction Ay to the nearest whole number. Enter positive for up, negative for down. M = 126 N-m P = 321 NTDE= TBE Required information The structure consists of pin-connected members. Take X = 4 kN. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. = 2m Determine the force supported by all members. Enter forces as positive numbers if the member is in tension and as negative numbers if the member is in compression. (Round the final answers to four decimal places.) The force supported by all members are as follows: TAB -7.0711 KN TAD= -5 KN TBD= 2.2361 kN KN |1m-1m-1m-1m4 2 kN 3 KN X 3 KN D TEF= TBF= 4.4721 TCF= TBC= -5.6569 kN KN E KN KN F CPROBLEM 3. The aluminum rod has a solid circular cross-section and supports the loading shown. Drawing the normal force diagram and keeping the weight minimum, determine the diameter of the rod at each segment AB, BC, CD and DE. Compare the weight of the rod if the magnesium alloy AZ91D was used as the rod material. 8 kN E 4 kN 6 kN 2 kN 4 m -2 m- 2m-2 m-
- Consider a truss shown below. Given that FD= 5.5 kN and FK = 5.5 kN. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 1 1m 1m-1m-1m- IC B FD E D F G 2 m Find the force supported by member FG. The force supported by member FG is H KN. m -Im-1m- K M Problem 06.048.d - Twenty-five member truss with two loads - determine member FG 1mQ) For the shown truss, determine the stiffness matrix of member 1 (1 to 3) and member 2 (2 to 3)? Let A = 50X10 m² and E-210 GPa for all elements. 50 KN 30 m - 3 20 m 100 KN 30 m 40 mA safety valve spring having 9 and 2 coils has the ends squared and ground. The outside diameter of the coil is 115 mm and the wire is 13 mm. It has a free length of 203 mm. The length of which this spring must be initially compressed to hold a boiler pressure of 1.38 MPa on the seat of 32 mm diameter. Modulus of rigidity is taken as G=80GN/m?. Find the force acting on the valve set. Compute the Wahl factor