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- 10. What is the correct bending moment diagram for the structure below? 爸 卡 4A 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 Media3- 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)
- 3. 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 KN1: 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.
- A 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 MPaDetermine 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 IbD (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 + P8:16 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