Plot the shear and moment diagrams for the beam subjected to the concentrated force and distributed load. Then answer the questions to check your work. Assume w₁ = 3.1 kN/m, w2 = 2.0 kN/m, F = 8.0 kN, a = 13 m, b = 3m. W A Questions: k W = Wo - kx³/2 F พ, B b- -x When x = 4.2 m, V = KN M= i kN-m When x = 14.9 m, V = kN M= <- d kN-m
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- Find expressions for shear force V and moment M at x = L/2 of beam BC. Express V and M in term s of peak load intensity q0and be a m length variable L.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 0.00The simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. A
- 3- Draw the shear force and bending moment of the beam. You have to find their equation, and your diagram without calculation is not acceptable.(41) 20 kN 1.5 kN/m B 1m 1 m 4 m(a) Develop shear and bending moment diagrams using the graphical method. (b) Determine functions for shear and moment using the method of sections for the region defined by 0For the beam shown, the magnitude of the concentrated load is P = 21 kN, the magnitude of the couple is MB = 210 kN-m, and the beam lengths are a = 4.3 m and b = 12.9 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. MB b a Answer: kN max kN-m Mmax i %3D B.Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft A to to D B- 8 ft 8 ft- -8 ftConsider an 8-m long simply supported T-beam with overhangs loaded as shown below. 200 mm w kN/m 50 mm 50 kN-m 50 kN-m 200 mm 2 m 4 m 2 m 50 mm 1. Determine the location of the neutral axis measured from the top of the beam and the moment of inertia (in mm4) of the section about its neutral axis. Draw the shear and bending moment diagrams. Annotate all relevant values and distances. Determine the magnitude of the maximum negative 2. moment. Determine the minimum allowable strength of the beam in tension and the minimum allowable strength of the beam in compression. 3. Determine the maximum allowable load, w (in kN/m), that can be applied pn the beam. 4. B.Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and the shear-force diagram are provided. M = 13 kN-m Ay = 3.46 KN Dy Units: KN = 32.54 kN M 4 m 29.5 kN-m 43.3 kN-m 25.8 kN-m O 22.9 kN-m 31.48 kN-m B Ay 4 m 15 kN C Ay 4 m Ay-15 7 kN/m D 3 m 21 Ay-15 E XDraw the shear and moment diagrams, then anwer the questions. The distance x is measured from point A to the right. Assume w = 460 Ib/ft, a = 3.5 ft, b = 2.8 ft. B Questions: At x = 1.1 ft, V= i 253.852 Ib, M= i 372.01 Ib-ft At x = 5.4 ft, V = -298.148 Ib, M = 268.334 Ib-ftDraw the shear force and bending moment diagrams for the beam with loading shown below, P= 16 kN, w= 30 kN/m, M=40 kN.m. Also, state the maxmium shear force and bending moment in the text box. (Upload the diagrams showing all key values with units as well as neat and clear calculations) P kN P kN w kN/m M KN.m A 0.5 m 1 m 1 m- 1 m- -1 mFor the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 7 kN, V2 = 7 kN, V3 = 100 mm, and V4 = 1300 mm. ATAT V3 (mm) O Provide values at all key points shown in the given shear-force and bending-moment diagrams. (mm) A с B Reaction force R₁ (left) = E D 0.00 F +V 0.00 X (mm) 7 kN and reaction force R₂ (right) = P 7 kN. Q 0.00SEE MORE QUESTIONS