7.5 (A/B). Fig. 7.18 shows the cross-section of a beam which carries a shear force of 20 kN. Plot a graph to scalewhich shows the distribution of shear stress due to bending across the cross-section.[I.Mech.E.] [21.7, 5.2, 5.23 MN/m?]12 mm75 mm40 mm50mm-Fig. 7.18.7.6 (B). Show that the difference between the maximum and mean shear stress in the web of an I-section beam iswhere Q is the shear force on the cross-section, h is the depth of the web and I is the second moment of area of the241cross-section about the neutral axis of bending. Assume the I-section to be built of rectangular sections, the flangeshaving width B and thickness t and the web a thickness b. Fillet radii are to be ignored.[I.Mech.E.]7.7 (B). Deduce an expression for the shearing stress at any point in a section of a beam owing to the shearingforce at that section. State the assumptions made.A simply supported beam carries a central load W. The cross-section of the beam is rectangular of depth d. At whatdistance from the neutral axis will the shearing stress be equal to the mean shearing stress on the section?[U.L.C.I.] [d//12.]7.8 (B). A steel bar rolled to the section shown in Fig. 7.19 is subjected to a shearing force of 200 kN applied in thedirection YY. Making the usual assumptions, determine the average shearing stress at the sections A, B, C and D, andfind the ratio of the maximum to the mean shearing stress in the section. Draw to scale a diagram to show thevariation of the average shearing stress across the section.[U.L.] [Clue: treat as equivalent section similar to that of Example 7.3.] [7.2, 12.3, 33.6, 43.8 MN/m2, 3.93.]120 mm.lYA20 mm20 mmB20 mm160 mmC20 mmFig. 7.19.

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Answered: 7.5 (A/B). Fig. 7.18 shows the…

7.5 (A/B). Fig. 7.18 shows the cross-section of a beam which carries a shear force of 20 kN. Plot a graph to scale hich shows the distribution of shear stress due to bending across the cross-section.

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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