An overhang beam with negligible weight is loaded as shown. Knowing that the flexural rigidity of the beam is El = 2 x 105 kNm², (a) Reactions at A and B (a) determine the reactions at supports A and B, (b) derive the elastic (b) section AB curve for section AB, (c) derive the elastic curve for section BC, and v = (d) determine the deflection at point C. v = (c) section BC v = 2 kN/m v = (d) vc=

An overhang beam with negligible weight is loaded as shown. Knowing that the flexural rigidity of the beam is El = 2 x 105 kNm², (a) Reactions at A and B (a) determine the reactions at supports A and B, (b) derive the elastic (b) section AB curve for section AB, (c) derive the elastic curve for section BC, and v = (d) determine the deflection at point C. v = (c) section BC v = 2 kN/m v = (d) vc=

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

An overhang beam with negligible weight is loaded as shown.
Knowing that the flexural rigidity of the beam is El = 2 × 105 kNm², (a) Reactions at A and B
(a) determine the reactions at supports A and B, (b) derive the elastic (b) section AB
curve for section AB, (c) derive the elastic curve for section BC, and v =
(d) determine the deflection at point C.
v =
(c) section BC
v' =
2 kN/m
v =
(d)
m
m

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