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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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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.2 m, b = 4.4 m, c = 3 m, P = 16 kN, w = 34 kN/m, and Q = 26 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally:(a) Determine V and M in the beam at a point located 0.65 m to the right of B.(b) Determine V and M in the beam at a point located 1.40 m to the left of C.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.
For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.
Strength of Materials Draw the shearing-force and bending-moment diagrams for the following beams: A cantilever of length 20 m carrying a load of 10 kN uniformly distributed over the inner 15 m of its length.
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Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum normal stress due to bending.
2. The simply supported beam below has the cross-sectional area shown. a. Draw the FBD (2 pts) b. Determine the absolute maximum bending stress in the beam (2 pts) Your Answer: -- Determine the bending-stress at points A & C. (1 pts) Your Answer: & Plot the bending-stress distribution acting over the beam's cross section (1 pts) c. Determine the absolute maximum shear-stress in the beam (2 pts) Your Answer: Determine the shear-stress at points A & C. (1 pts) Your Answer: & Plot the shear-stress distribution acting over the beam's cross section (1 pts) A 20 kN/m 4 m Designation mm x kg/m W150 x 14 Area mm- 1730 OB 4 mm 2 m 150 20 kN Web Depth thickness width by mm mm C Flange 4.32 100.0 thickness "f mm 5.5 ‒‒‒‒‒‒ ‒‒‒‒‒. H C X-X axis S 10 mm 10³ mm³ 6.84 91.2 A r mm 62.9
Drawing the shear and moment diagrams by the addition method for the beam and loads shown, determine the absolute maximum value of the shear force and the bending moment.
Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum absolute value (a) of the shear, (b) of the bending moment.
Draw the shearing-force and bending-moment diagrams for the following beams: A cantilever of length 20 m carrying a load of 10 kN at a distance of 15 m from the supported end. A cantilever of length 20 m carrying a load of 10 kN uniformly distributed over the inner 15 m of its length. A cantilever of length 12 m carrying a load of 8 kN, applied 5 m from the supported end, and a load of 2kN/m over its whole length.
Subject: mecan

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20 lb/in. 125 lb 125 lb B C D A E 9 in. 12 in. 12 in.12 in.-