(i) write bending moment expression, M(x), using the Macauley's method (ii) determine the bending moment using M(x) for specified cross-sections at E, C and A (iii) justify the bending moment result calculated in (ii) for the free end of the beam at A

(i) write bending moment expression, M(x), using the Macauley's method (ii) determine the bending moment using M(x) for specified cross-sections at E, C and A (iii) justify the bending moment result calculated in (ii) for the free end of the beam at A

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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Question

100%

(a)
For the cantilever beam shown in Figure Q1,
60 N
40 N/m
80 Nm
1m
1m
1m
1m
Figure Q1
(i)
write bending moment expression, M(x), using the
Macauley's method
determine the bending moment using M(x) for specified
(ii)
cross-sections at E, C and A
(iii)
justify the bending moment result calculated in (ii) for the
free end of the beam at A
(b) For a rectangular cross-section of width 100 mm and height 400 mm
of a beam, the shear force is 2x106 N.
Calculate the shear stress (t) at the following locations:
(i)
(ii) The top surface
(iii) 60 mm from the top surface
The neutral axis

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