J: the roof truss in Fig. 3, is supported by a roller at A and B. Find the value of the reactions. 20 KN 20 kN 20 kN 10 kN 10 kN om 30 30 5 m 5 m 5 m 60 kN 50 kN Fig.3 MATHaino.com
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- 12 in cord 12 in 36 14 24 in B 8 in 26 16 For the bar and loading shown, find = (a) the tension Tin the cord (b) the reaction D at D (in mag/direc form) Neglect the weight of the bar.A frame structure, as shown in the following diagram, is given. Calculate: (a) Reaction forces at each support (b) Forces acting on members AB, BD, and DE using the Section Method And it is known that : P = 700 kN, Q = 300 kN, x = 10 meters , y = 8 meters , and z = 6 metersA 280-kg uniform rectangular plate is supported in the position shown in the figure by hinges A and Band by a cable DCE that passes over a frictioniess hook at C. Assume that the tenslon is the same in both parts of the cable and that hinge B does not exert any axial thrust. 060mm etcok 150 zim Print 90mm 675 mmm eferences 270 m Problem 04.117.c - Reactlon from plate Determine the reactions at Aand B INT- N k. The resction at As the reserion at 5s 1573 N)
- Q 3: Find reaction at support B for the frame shown in Fig. (3). Also, draw B. M. D. Take El=constant. 2 m 2 m 2 m Figure (3) 20 kNA 4 M L₂ F. B 8 L3 LA L5 C Pipe ABC is supported by three smooth journal bearings, Find the reactions at A, B, and C, given: F = 480 lbs, M = 180 lb-ft, 8= 45°, L₁=0.6 ft, L₂=0.6 ft, L3=1.2 ft, L4 = 1 ft, L5 = 1.2 ft (ans: Ax= -339 lbs, Az = -489 lbs, Bx = 339 lbs, Bz=979 lbs, Cy=-339 lbs, Cz=-150 lbs)(1) IN Z 60 in B cord ले Q=ib 70 in 10 insi C In cord 42 (W = TBD A 1 16 45 in P = 42 16 Q = 54 16 x A block of weight W is suspended by two cords, AC and BC, shown, and forces P (in the x direc) and Q (in the z direc) are exerted at C. Find the weight W of the block, and the fensions TAC and Ter in the two cords. Ас BC
- The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which is in a state of compression, in the figure shown. The system is in static equilibrium. With neat, dimensioned free body diagrams of the bar DBC and bar AB a) Determine the reactions at the roller D, and the spring force at C b) Determine the force at point B on the bar AB. What is the name of this bar? Assume angle made by bar AB with horizontal is 45 degrees. Please show all work and draw FBD of bar DBC and bar AB separately. 100 kN 2 m. 200 kNmK 1 т 100 kN 1 т В 1 т 100 kN 1 m k = 500 N/m, spring in compressionA12-ft wooden beam weighing 80 lb is supported by a pin and bracket at A and by cable BC. Find the reaction at A and the tension in the cable. 6 ft A ft 6 ft 80 Ib Match each item to a choice: Ax Tension on Cable Ay Choices: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)
- है A ★F B The structure shown above is in static equilibrium. The structure is made of square segments 1.5m on each side. Support A is a pin joint and support B is on rollers. An external force F=150.0 N is applied to the structure. What is the reaction force at B?A 400 N gas sign hangs from the end of a uniform strut BC. The strut is 4 m long and weighs 600 N. The strut is supported by a hinge at the wall at C and by a cable whose other end is tied to the wall at point A 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut. 5.0 m 3.0 m 4.0 m B GAS TAB= 1333 N TAB= 1167 N TAB= 400 N TAB= 1000 N leave the question 4 Other: Q 4 4 points Rc= 980 N O Rc= 360 N Rc= 890 N Rc= 1085 N O O O O O O OA B 2m 2m B C a=45 B=30 F=30N Find forces in each member of the truss. Hint: start from point A, find member force AB, find reaction force at B , find member force BD....