beam 20 m long is loaded as shown in Figure below. The supports am e reaction is the same at each support. (A) Determine the position of t aw the shear force and bending moment diagrams. 3 kN 0.6 kN/m 5 kN
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- At a full d raw, an archer applies a pull of 130 N to the bowstring of the bow shown in the figure. Determine the bending moment at the midpoint of the bow.Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0= 200 lb/ft at a = 8 ft and a concentrated moment M = 400 Ib-ft at A. Draw the shear-force and bending-moment diagrams for this beam, Find the value of distanced that results in the maximum moment occurring at L/2. Draw the shear-force and bending-moment diagrams for this case. Find the value of distance a for which Mmaxis the largest possible value.
- 3 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 0.00Q7: for the figure shown below, calculate the reactions at the point O 30/ 3 kN 15 kN-m 1.4 kN 1.2 m+-1.8 m- 1.8 m- Weight of the beam is 4905 N4. For the beam shown, find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and provide values at all key points. y 400 lbf Hinge A B AC R₂ R₁ 4 in 4 in 2 in 40 lbf/in 10 in D R₂ 3 X
- Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 55 kN, Pc = 75 kN, and PE = 25 kN. 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 PB Answer: Ay = i BO PB a B Pc a Calculate the reaction forces Ay 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.) D Pc D a D₂ PE a PE E kN, Dy= i -x E X kN.Cantilever beam is loaded by two concentrated forces and a couple. F2 M 4 4 1, Given: 11= 13cm; l 2 = 28cm; 13 = 19cm; F1 = 283N; F 2 = -54N; M= -7N m. Find: algebraical value of reactive moment (in N m) applied at fixed point (considering counterclockwise direction as positive and clockwise as negative). Answer:
- Draw the shear-force and bending-moment diagrams for the beam shown. PROVIDE A DETAILED AND COMPLETE SOLUTION. 1100 lb lb 400 6000 lb-ft D 2 ft B 6 ft C 2 ft 2 ft EFor the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 19.0 kips/ft, a=5.0 ft, and b=15.5 ft. 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. b Calculate the reaction forces By and Cy 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 Bx = 0, it has been omitted from the free-body diagram.) a b By |C, Answers: By = i kips Cy = i kips Determine the shear force acting at each of the following locations: (a) x = 5.0- ft (i.e., just to the left of support B) (b) x = 5.0+ ft (i.e., just to the right of support B) (c) x = 19.5 ft (d) x = 20.5- ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the…6. Q1: For the beam Shown in Figure 1 (40 Points) 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B RBy, the bending moment at B, and the bending moment at C. B- A 2. Draw the shear force and bending 3m 2m 2m 3m moment diagram for the beam. Figure 1 Q2: (30 Points) For the simply supported beam with loading and cross section shown in Figure 2, determine the following: 1. The location of the centroid measured 10 kN 10 kN 100 from the top fiber in (mm). 2. The moment of inertia about the 50 centroidal x axis (mm“) 3. The maximum compressive stress in 0.6m 0.6 m 0.6 m 30 30 60 30, (MPa) 4. The maximum shear stress at the neutral axis in (MPa) All cross-section 5. The average shear stress on the section dimensions in mm (MPа) If the allowable stress in tension, compression, and shear are 4 MPa, 18 MP, and 12 MPa respectively. is this Figure 2 beam safe?