Problem 2.2-23 A bridge structure is modelled by two hinge-connected girders which are supported in A and B as shown. F H 1 2 4 5 In 3 addition, the structure is 3m 2m 2m 3m stabilized by five joint rods. Determine the support reactions, the force in H as well as the forces in all joint rods for F = 40 kN! 2m
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- A soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.RAX M A 0 F RAY Enter FAP: kN F₂ The figure above is a pin-joint frame with angle = 30° between members AF and AB. (Note that the diagram is not to scale). Given that the reaction forces at the support A are given by RAX = 10kN and RAY = 25kN, calculate the forces in members AB and AF, denoted by FAB and FAP respectively. Enter your answers in kilonewtons (kN) correct to 2 decimal places in the boxes below: Enter FAB KN D RDY
- Answer FOUR questions ONLY selecting TWO questions from SECTION A. 1. (a) The vertical structure ABCD shown in Figure 1(a) is subjected to a system of coplanar forces and a moment. The structure is simply supported at D with a frictionless pin and is roller-supported at A. i Sketch the free body diagram (FBD). Take moments about D and hence find the reaction force at support A. ii. 35 AN 23m 60 100 km Osm Figure 1(a) (b) An assembly of a steel bar enclosed within an aluminium alloy tube is shown in Figure 1(b). The tube and the bar are of the same initial length. The combination is compressed between two rigid parallel plates by a force of 500 kN. The diameter of the steel bar is 40 mm, and the inside and outside diameters of the alloy tube are 60 mm and 100 mm respectively. The Young's moduli for steel and aluminium alloy respectively are Est = 200 GNM2, EA = 70 GNm?. Find the stresses generated in the steel bar and the aluminium alloy tube. Sael he -Rid pl Figure 1(b)The light boom AB is attached to a vertical wall by a ball and socket joint at A and supported by two cables at B. A force P is applied at B where P = 19i - 10j kN.Note that the reaction force at A acts along the boom because it is a two-force member. the magnitude of the reaction force at A in kN = 34.8 Magnitude of the tension in the cable BD in kN =19.58 Magnitude of the force in member BC in kN = 6.04 Determine the magnitude of the moment of P about the x-axis, y-axis and x-axis in NmA light boom AB is attached to a vertical wallan socket joint at A and supported by. Two cables at B. A force P is applied at B where P=12i-17j kN.the reaction force at A acts along the boom because it is a two force member. Calculat the magnitude of the reaction force at A in kN
- Question 1. RAX A 0 RAY F₁ Enter FAP: KN F KN E F₂ D The figure above is a pin-joint frame with angle 8 = 50° between members AF and AB. (Note that the diagram is not to scale). Given that the reaction forces at the support A are given by RAx = 70kN and RAY = 30kN, calculate the forces in members AB and AF, denoted by FAB and FAF respectively. Enter your answers in kilonewtons (kN) correct to 2 decimal places in the boxes below: Enter FAB RDY 4 [6 mThe light boom AB is attached to a vertical wall by a ball and socket joint at A and supported by two cables at B. A force P is applied at B where P = 17i - 11j kN.Note that the reaction force at A acts along the boom because it is a two-force member. Calculate the magnitude of the reaction force at A in kN. %3D 2 m 4 m 6 m A Answer: Calculate the magnitude of the tension in cable BD in kN. 3 m 6mConsider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m? and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4. 50 kN 12 2. 3 14 1 m 1 m 1 m Reaction at node 1 = 30 kN. Rection at node 4 = 20 kN а) b) c) d) II Reaction at node 1 = 25 kN. Rection at node 4 = 25 kN Reaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kN Reaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN
- Example -3: The member shows a is pin connected at A and rests agaia R smooth support at B. Determine the horizontal and vertical components of reaction at the pin A. 307 0.75 m 90N m 30 0.5 m 60 N 30 A 90 N m 0.75 m 1m 60 N (b)What are the reactions at a pin and bracket support in three-dimensional space? Answer with the number of force components and the number of couples.Q1 Figure Ql shows a member of trust with pin supported at A and roller supported at F. A 20 kN forces applied at point B and D vertically. Point G experience a horizontal force of 20 kN and 10 kN vertical force. (a) Draw the free body diagram. (b) Detemine the reaction at the given supports. (c) Determine force supported by member BE and BD of the truss. (d) State whether themembersare inQl(c) tension or compression.