2. Draw shear force and bending moment diagrams for the beam shown in figure. 50 kN/m 20 kN/m A D 2 m 2 m 2 m RA Ro 3. Relation between load, shear and moment: Please solve according to the exporters of a typical solution. We will discuss the relations existing between the loads, shears and bendir moments in any beam. Theses relations provide a method of constructing she and moment diagrams without writing shear and moment equations. The beam shown in figure (1) is assumed to carry any general loading. The free body diagram W (N/m) of segment of this beam of length (dx) is shown but f wdx - is the summation of area between (x, and x;) in figure (2). V, -v, = AV = (area) similarly (2) EF, -0>V+wdx-(V+d)-0 --Intensity of load (N/m) dV = wde EM, 0 M+Vdx + (wex) - (M+ dM) =0 M, - M, - AM = (area ) dV (de ) Where: ero dr (slope of shear dingram) 2. dM=Vde for (dV = wdx) we can integrating dM (slope of moment diagram)

2. Draw shear force and bending moment diagrams for the beam shown in figure. 50 kN/m 20 kN/m A D 2 m 2 m 2 m RA Ro 3. Relation between load, shear and moment: Please solve according to the exporters of a typical solution. We will discuss the relations existing between the loads, shears and bendir moments in any beam. Theses relations provide a method of constructing she and moment diagrams without writing shear and moment equations. The beam shown in figure (1) is assumed to carry any general loading. The free body diagram W (N/m) of segment of this beam of length (dx) is shown but f wdx - is the summation of area between (x, and x;) in figure (2). V, -v, = AV = (area) similarly (2) EF, -0>V+wdx-(V+d)-0 --Intensity of load (N/m) dV = wde EM, 0 M+Vdx + (wex) - (M+ dM) =0 M, - M, - AM = (area ) dV (de ) Where: ero dr (slope of shear dingram) 2. dM=Vde for (dV = wdx) we can integrating dM (slope of moment diagram)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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