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- Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure.A propped cantilever beam of a length L is loaded by a concentrated moment M0at midpoint C Use the second-order differential equation of the deflection curve to solve for reactions at A and B. Draw shear-force and bending-moment diagrams for the entire beam. Also find the equations of the deflection curves for both halves of the beam, and draw the deflection curve for the entire beam.For the 2-shear diagram shown below, provide the beam loadings and the moment diagram in line with the shear diagram. Utilize the space provided below each diagram to draw the beam loadings and moment diagram. Provide also equations only at the first two sections of the beam from left to right.
- Figure 1 below shows a 5 m length of beam with a pinned support at A and roller support at E. The beam carries three concentrated loads of 10 kN, 5 kN and 15 kN at B, C and D, respectively. а. Show the Free Body Diagram (FBD) of the beam then determine the reaction force. b. Calculate the shear force, V. Draw Shear Force Diagram (SFD). Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD). 10 kN 5 kN 15 kN A E B C D 1m 1m 1 m 2 m Figure 1 C.Use Singularity functions to draw the shear and bending moment diagram for this beam problem in terms of F and L.Chapter 4: Practice problems f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m 1. A cantilever beam of length 4 m carries point loads from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m A 1 kN 2m 8 4m 1m 4 kN C + 2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of 2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the beam. 2m 2 kN 8 m C + 6 kN 2m D 3 kN D 4. Draw the shear force and bending moment diagram for a simply supported beam of length 9 m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end. Also calculate the maximum B.M. on the section. 3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the cantilever beam. References: [1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi…
- Draw shear force and bending moment diagram for the following beamIn Figure Q3a, a beam is supported at A and C with a uniformly distributed load of20 kN/m between A and B. Draw and label the shear force diagram (SFD) andbending moment diagram (BMD) for the beam shown in Figure Q3a. Label thevalues for shear force and bending moment at points A, B, C & at the beam midpoint M; the maximum bending moment and its distance from A; and clearlyindicate the type of bending between AB and between BCQ # 4: Write shear and moment equations for the beams in the following figure. In each problem, let x be the distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each problem. 10CLO – 3
- Find the reactions of the structure and draw the shear and moment diagrams for the beam (Use the Force Method).Draw the Shear force and bending moment diagram for the beam as shown in figure.Determine the support reactions and Shear force and Bending moment diagram and also determine the point of maximuym shear and Bending moment and their values