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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)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 B
- 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°w1 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-)Problem 1- The beam shown below is in equilibrium when subjected to forces presented. Determine the reactions at roller A and pin B, if P = 15 kips. (1 kips = 1000 Ibs) %3D P 6 kips 6 kips В 6 ft 3 ft 2 ft'2 ft
- 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 IICE - PC 311 - STRUCTURAL THEORY Plate No. 10 - Analysis of Statically Indeterm in ate Beam s 1. By the moment-area m e thod c a lc u la te th e slopes of the e la stic curve at A, B and C and the vertic al de fle ctio n at C of the sim p le beam. E = 30,00 0 k/in and I = 300 in *. 2 Refer to th e fig ure b e lo w. AIl decim a ls m ust be inclu ded, do not round o ff answers. A Il figures must be in c luded and drawn straight. Curves may be done freehand. Sum marize your ans wers as shown below. Required V a lu es Answer B A X 1 X 2 X 1 X 2 kip ft ft 15.8 5 15 B.1. Given the diameter of the A-36 steel shaft as shown in Fig, Q1(a), d = 20 mm, E = 2.0 x 10" N/m? and moment of inertia, I= nd164. 200 mm - 300 mm --- -500 mm D A 350 N S00 N Fig. Q1(a) (a) Determine the reaction force at point A? (Ans in N, upward is +ve) [1%] (b) Determine the reaction force at point B? (Ans in N, upward is +ve) [1%] (c) Determine the value for (i) in the moment diagram as shown in Fig. Q1(b)? (Ans in N.m/EI) [1%] (d) Determine the value for (ii) in the moment diagram as shown in Fig. Q1(b)? (Ans in N.m/El) (1%] (e) Calculate the amount of deviation, toe using Moment-Area Theorems? (Ans in N.m/EN (2%) () Calculate the amount of deviation, tae using Moment-Area Theorems? (Ans in N.m/EN [2%] (9) Determine the vertical displacement at point D? (Ans in mm) [1%] (h) Suggest a way to reduce the amount of vertical displacement at point DEXCEPT reducing the pulley's load of 800 N at point D? (1%) M/EI 02 0.5 1.0 x (m) (ii) Fig. Q1(b)