A beam of length 4m and flexural stiffness (EI) of 1.4 x10 Nm², is simply supported at its ends as shown in Fig. Q3. The beam is subjected to a concentrated load of 20 kN at a distance 1m and a clockwise couple of 15 kNm applied in the plane of bending at a distance of 3m, both measured from the left end. (i) (ii) (iii) RA A 1m 20KN B 3m 15kNm I O D RD Fig. Q3: Loaded structural beam Calculate the reaction forces at the two end supports. Macaulay's approach is to be used to find slopes and deflections along the beam. Write the general expression for the bending moment at a section X-X at distance x measured from the left end to enable the solution. Using 'double integration method', derive an expression for the vertical deflection along the beam; hence determine the vertical deflection at mid-span.

A beam of length 4m and flexural stiffness (EI) of 1.4 x10 Nm², is simply supported at its ends as shown in Fig. Q3. The beam is subjected to a concentrated load of 20 kN at a distance 1m and a clockwise couple of 15 kNm applied in the plane of bending at a distance of 3m, both measured from the left end. (i) (ii) (iii) RA A 1m 20KN B 3m 15kNm I O D RD Fig. Q3: Loaded structural beam Calculate the reaction forces at the two end supports. Macaulay's approach is to be used to find slopes and deflections along the beam. Write the general expression for the bending moment at a section X-X at distance x measured from the left end to enable the solution. Using 'double integration method', derive an expression for the vertical deflection along the beam; hence determine the vertical deflection at mid-span.

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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