2. A three-link system is subjected to a vertical displacement at point A as shown below. Each bas has cross-sectional area A and elastic modulus E. Determine the vertical load at point A. 30° L Figure 2 Simple three-link structure
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- PROBLEM 4: Find the reaction force components at point A and B. The member AB has a length of L=10m. The infinitesimal loads at point A and B are 1200N/m and 800N/m respectively. 12=5mm 1200 N/m/ A In L=10m 4₁=5m 0:38 800 N/mExamine the rod below. It is fixed into a wall at the left hand end. From the wall to point B is 200mm. BC is 200mm long and CD is 200mm long. (Centreline to centreline distances). Point A lies on the positive Y-axis on a cross section halfway along BC. Three forces are applied at D. P=221.6, your individual load, is parallel to the z-axis. 400N is parallel to the y-axis and 200N is parallel to the x axis. The rod is a tube with an 80mm outer diameter and a wall thickness of 5mm. What is the net sigma (s) and the net tau (t) at Point A? Show all your working. Make sure you clearly indicate the direction/sign of each stress you calculate.Problem 1 The structure shown below supports a vertical load P = 100 N. The sloped wall at A is frictionless (slope 0 = 54°) and the structure is anchored at G with a frictionless pin. Note that the structure consists of three members, ABEG, BCD, and ED. Ignore their weights. The angle ß = 55.3°. Find all the forces acting on member ABEG and draw them on the figure on the next page. Draw arrows in the correct directions and label them with magnitudes. A 8m e Frictionless slope B O B 10 m P C 3 m D 9 m 2 m
- Problem #2: Determine the resultant load of the given uniformly varying load (UVL) or trapezoidal load as shown in the figure below. Figure: W= 20 KN/m wj=6 KN/m A B length of the base = 5 m %3DDetermine the reaction components at the roller support at B and the hinge support at C due to the applied load shown in this figure. 10 kips 4 -3 ft- Support at B, Rg = 6 kips vertically upward direction. Support at C, Re-25 kips makes an angle 0= -33.13° with respect to +X axis. mm B Support at C, Rc-20 kips makes an angle 0-43.13 with respect to + X axis. Support at B, Rg - 36 kips vertically downward direction. Support at C, Re 15 kips makes an angle 0- 63.13 with respect to + X axis. Support at B, -3 ft-Draw all forces acting on member ABEG here: A B E O GO
- PROBLEM 2 The aluminum bar with cross-sectional area of 160 mm2 carries the axial loads at the position shown in the figure. Given that E=70-Gpa, compute the total change in length of the bar. 35kN 15KN 30kN 10kN 0.8 m 1.0 m 0.6 mDetermine the support reactions at the the fixed support, A. Neglect the weight and size of the beam. Given data: Distributed load W=50 N/m; Couple C=160 N-m; and the point load P-780 N acting inclined at an angle of 35 in degree with respect to horizontal. W (n/m) P C (N.m) 1.5 m 2 m 4 m Horizontal force component at A along x, AxD Horizontal force component at A along y, Ay= Moment component at A, Ma= N. m1. A tripod shawn supports of note that ball and rocket joints are used to mount the tripuod a load P=1000N at point A. Take at points B,D, and C. consider the t LI L 2 L2: 4 L3 : 3 A : 45° g :30° %3D on x-z plane L2 POINT C (2,-2,3) C0,0,0) ミー- Determine the ff Force of AB - N Force of AC - N Force of AD : N
- 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 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 metal bar is made out of A-36 steel and has a diameter d 20mm with the end at A fixed to the wall. There is are balanced axial loads at B of P₁ = 50 kN and a point load at C of P2 = 40 kN. The distance from A to B is L₁ = 600 mm and the distance from B to C is L2 400 mm. Calculate the displacement of point C relative to point A. The modulus of elasticity for steel is E = 200 GPa A d B The displacement at C is 8 = P₁ 1 Р1 с BY NO SA 2021 Cathy Zupke mm P2