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- %3D If the intensity of the distributed load acting on the beam is w = 3KN/m, determine the reactions at the roller A and pin B. 3 TAD (5000 mm?) (4000 mm (5000 mm?) 3 m (4000 mn) (5000 mm) B (5000 mm?) A 100 kN 2 panels at 4 m 8 m E = 200 GPa Analyze the truss shown using MCD. Determine the force in member AE. For reactions that is downward and going to the left, input your answers as negative. * („uu 000) /4000 mm)1. The beam is subjected to a load F = 400 N and is supported by the rope and the smooth surfaces at A and B. a. Draw the free-body diagram of the beam. b. What are the magnitudes of the reactions at A and B? G 45% A 14" F -1.2 m 1.5 mlm- B 30°
- 2. As shown in the figure, a rigid beam with a negligible mass is pinned at O and supported by 2 rods, identical except for length. If P-30KN, a. Find the load in rod A.(KN) (L b. Find the load in rod B.(KN)! c. If rod A elongates by 2 mm, how much is the elongation of rod B.(mm) 2m- -2m- 1.5m- 28g 1126 L=1.5m L=2m P=30 kN Bw1 w2 P x1 x2 x3 e 50 32x 6 8 2258 Moment at A= w1 kN/m kN/m kN/m KN Im m m 20 deg Vertical Reaction at B = Vertical Reaction at C = x1 Horizontal Reaction at C = 3m kN-m Determine the Reactions at Fixed Support A, Roller Support B and Hinge Support C. ALL ANSWERS IN ABOSULTE VALUE AND IN THREE (3) DECIMAL PLACES INCLUDING ZEROS Vertical Reaction at A = KN Horizontal Reaction at A= kN KN KN B KN x2 W2 kN/m 2m P x3 Ꮎ 1m CProblem 1 Analyze the propped beam shown: (Use conjugate beam method) 40 N/m A OB 4 m 2 m Question 1 Determine the reaction at the roller support. Ans.: Blank 1N Blank 1 Add your answer Question 2 Determine the moment reaction at the fixed support. Ans.: Blank 1 N.m. Blank 1 Add your answer Question 3 Determine the angle of rotation at the roller support. Ans.: El0=Blank 1 N.m? Blank 1 Add your answer Question 4 Determine the deflection at 2 meters from the roller support along the beam. El8 = Blank 1 N.m³ Ans.: Blank 1 Add your answer
- The overhang beam shown in Figure Q2 is pinned at A and rest on a roller at B. The beam supports a uniformly distributed load of A kN/m, a concentrated load of C kN and a couple of moment B kN.m a) Determine the support reaction at point A and B. b) Draw the shear diagrams of the beam. A=16 B= 24 c) 12 A kN/m A BkN-m -3 m- -3 m- -2 m- VC KN Figure Q2D (5000 mm2) E (5000 mm2) 3 m (4000 mm?) C %23 (5000 mm?) B (5000 mm2) 100 kN 2 panels at 4 m 8 m E = 200 GPa Determine the reaction at C of the truss shown. Input your answers as negative if the force is downward. #Guru 000t) (4000 mm-)ASAP
- 7:44 The frame shown consists of two members AC and BD connected by a pin at C. the frame is loaded as shown below. Given: W=380 N/m; F=760 N; a=1 m; 0 = 90° answer the following questions: (write your results in the blank spaces) F (N) 2a e F (N) W (N/m) 4a A. Determine the horizontal reaction at A. Ax = B. Determine the vertical reaction at A. Ay = C. Determine the horizontal reaction at B. Bx D. Determine the vertical reaction at B. By = E. Determine the vertical component of the force acting on member BCD at point C. Cy II II IIМА A RA 14-3 20 KN 20 KN MB B KAB = 10.67x10⁹ -3 m3 m3 m←4 m RB 60 KN KBC = 9x10⁹ 4 m- a. Construct the Moment distribution table of the beam loaded as shown. b. Based on the table, determine the values of M₁, MB and Mc in KN.m c. Solve for the Reactions at A, B and C (RA, RB and Rc in KN) (Note: Solve first the values of R₁ and Rc, then solve RB using Fy=0 Rc McTo solve for the moment and reactions of the beam shown, the three-moment equation is useful. The three moment equation is given as: 6Ab 6Aa + L1 MĄ(L1) + 2Mg(L1+ L2 + MCL2) + Assuming that there is no settlement of supports and El is constant for the whole structure. 6Aa 6Ab is called the "Factors" of the three-moment equation which can be determined by using the Moment-Area diagram of the left span and right span of the beam and also by L1 using integral calculus. L2 For the loading shown below, determine the value of the resulting "Factors" when W1 = W2 = 17 kN/m, a = 3 meters, b = 2 meters. ROUND OFF TO TWO DECIMAL PLACES. W1 W2 A a a b b b