Chapter 3, Problem 34E

Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below. Assume that the bodies can only undergo translation in the horizontal direction. Horizontal force P2=1000 N and P4=2000 N is applied to Elements 2 and 4, respectively. The spring constants in (N/mm) are given as: kı=100, k2=250, k3=300, k4=700, and ks=200. Nodes 1 and 5 are fixed. Determine the nodal displacements and reaction forces at the walls. Show all the work by deriving each equation and moving equations in matrix form and then applying BC's and solving. Do not rename the nodes or elements! 3

The pipe is pulled by three cables as shown on the figure below. All three cables are subjected to known forces. Another cable is planned to be added on the system. This additional cable is designed to pull the pipe along the positive y-axis. The proposed cable, Fy is twice as much as the only force which tends to pull the pipe below the x-axis. (Fa= 7.5kN; Fb= 1.25kN; Fc=5kN) Find the summation of forces in x axis and y axis.

8:30 Test 3.pdf F1 F2 a CF3 A b a F4 D Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30°, 0= 45° , B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 111.6 kN.m b) 112.6 kN.m e) - 184.6 kN.m d) - 109.6 kN.m e) - 104.1 kN.m 0 None of them 21 What is the resultant moment of the five forces acting on the rod about point B? a) -95.8 KN.m b) 42.7 kN.m c) 80.9 kN.m d) 10.9 kN.m e) 51.8 kN.m ) None of them 31 What is the resultant moment of the five forces acting on the rod about point C? b) - 21.1 kN.m e) 17.4 kN.m d) - 16.5 kN.m e) 15.6 kN.m ) None of them a) 32.6 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 37.6 kN.m b) 73.8 kN.m c) 71.6 kN.m d) 52.1 kN.m e) 21.1 kN.m ) None of them 5] What is the moment of the force F2 about point E? a) 90.7 kN.m b) - 88.1 kN.m c) 54.6 kN.m d) 103.1 kN.m e) 100.7 kN.m ) None…