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- 10. What is the correct bending moment diagram for the structure below? 爸 卡 43. The figure shows a truss which is pin connected at C and supported by a roller at D. It carries a vertical load of 200 kN and 100 kN at joints A and E respectively. a. Calculate the force in member DE. b. Calculate the force in member BE. c. Calculate the force in member CE. 4m 2m 200 N 100 KN3- The cantilever beam AB shown in the figure is subjected to a triangular load and a concentrated bending moment at B equal to M= 100 Nm. Draw the shear-force and bending-moment diagrams for this beam. 3m 300 N/m -1.5m- M=(100Nm)
- A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and C. (b) Draw the shear-force and bending-moment diagrams for the beam. Assume w = 16 kN/m, L = 14.0m and El - 5.5x 104 kN-m? is constant for the beam. %3D A -L/2- Part 1 Cut a cross-section through the beam between points A and B, and draw a free body diagram to the left of the cut. Determine an expression for M(x) in section AB of the beam. Check your expression by calculating Mat x-3,5 m. M(x) A Answer: M(x) - kN-m + mA, eTextbook and MediaA beam has the cross section shown (thin-walled profile). The shear center is at a distance, e = 32.7 mm from the web, IEN = 1134000 mm4. If a force V = 30 kN is applied, passing through the shear center as shown, determine the nearest value of the shear stress in the web at C. |5 mm 3 mm 3 mm 30 mm D 80 mm 30 mm mm E F 55 mm а. 117 МPа O b. 70 MPa Ос. 138 МРа O d. 94 MPa1: The cantilever beam below is subjected to external distributed loadings and forces between the endpoints and it is in equilibrium. The left hand endpoint A is hanging free and the right hand endpoint B is built in. You may assume that no external couple moments are acting on the overhanging part of the beam. The figure is not to scale. 4 m 0.5 m | (a) The shear force diagram of the beam is shown below; V (x) = -3(x – 2.5)2 + 3 for 2.5 < a < 3.5. Draw the complete free-body diagram of the beam, showing all the external forces, distributed loadings, and support reactions. V (kN) I (m) 1.5 2.5 3.5 -1 (b) Draw the bending moment diagram of the beam. Note that the area between V and the a-axis on the interval [2.5, 3.5] is 2. (c) Draw the free-body diagram of the part of the beam between a = 3.5 and a = 4, i.e. the part CB.
- From the given set of forces shown, the three forces acting on the beam can be replaced with a single equivalent Force R. Determine the following: P,= 25ヒN Pz - 40KN Pa- 80 kN 40° 500 4m Com a. The x-component of the resultant force? b. The magnitude R. c. The corresponding value of e.Determine the Maximum absolute shear from the shear diagram. Attach here the shear diagram and computation. ... y 400 lb/ft Pc = 400 lb %3D 200 lb/ft A B E C D +2 ft →1 ft + 4 ft 2 ft (A) 720 Ib (в) 800 Ib 400 Ib (D) 920 Ib8:16 r Flag queStjon For the beam shown in the figure, Determine the following unknowns where L1 = 5m, L2 = 3m, and the %3D moment reaction of the fixed support is 1282.5 kN-m clockwise. (DON'T FORGET THE UNITS) Internal Hinge L1 L2 Solve the value of "w": kN/m Solve the reaction of the roller support Solve the vertical reaction of the fixed support
- D (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)Which of the following is the biggest value of the P force that the beam can carry with respect to shear? L = 1.0 m; σem = 140 MPa; τem = 70 MPaFind the support responses of the beam in the figure and draw the M, N, V diagrams. 19 P = KN A 2 m 15 9 P kN/m o 2m M₁, = 4 kNm + P