VXY kN/m Find Ra, Rb, Ma & Mb: Draw Shear & Moment Diagram ZX
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- Q4 A // Draw the S.F and B.M diagrams to specify the following. (A): max. value and locations of shear force and bending moments. * 2 ANim- 5 kN 4 kN/m- 15 m D -15m -3 m 6m Vmax=9 kN @ x= 6m Vmax=8 kN @ x= 6m Vmax=9 kN @ x= 6m Not of all aboveQ3: Draw the shear force and bending moment diagrams for the beam as shown below. Also, find the points of contraflexure. (Use method of sections). 6 kN 20 kN/m D 2 m 2 m 2 m3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00
- Draw Shear ond moment Diagrams. NO E QUATION S! NO CUTS! 4N Im 6N 5N-m 5m 3m 3m zm M.2. For the 20 meter beam shown, there is a roller at "A" (Ay = 52 kN; it is acting upward), and a pin joint at "B" (By=-- 17 kN; it is acting downward). (a) Draw complete shear force and bending moment diagrams. (b) If x=0 is at the left end of the beam, write equations for the shear force and bending moment, and indicate the appropriate sections. (You may use the table on the next page.) 50 KN 15 KN A 90 kN-m 2 m3 m -5 m B *4 -7 m 120 kN-m € 3 mCalculte and Plot Moment and Shear DIagrams
- 3. For the structure carrying a uniform load of 4 kN/ m, compute the internal axial force, shear force, and Answer: Vc = 2 kN, Mc = 4 kNm, Nc = 24 kN bending moment at point C in the beam. 4 kN/ m |C B 3 m 2 m -2 m 2 mFor the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x DyQ-3 Write the shear and moment equation and sketch them 30kN 20 NIM 5m 4m