Tuesday, September 7, 2010

TUTORIAL PROBLEM SHEET
DOI: 08.09.2010 DOS: 13.09.2010

PROBLEMS ON SIMPLY SUPPORTED BEAMS
1. A 4m long beam is simply supported at the ends. It carries concentrated loads of 15N and 20 KN at distances 1m and 2m from the left support of the beam respectively. There is uniformly distributed load of 10KN/m over a length of 2m from the right end of the beam. The weight of the beam is 8KN.Determine the reactions of the supports.[FIG 1]
2. A beam of 6m long and simply supported at the ends is loaded with a varying load from zero at the left hand end to 2KN.m at the right hand end. Determine the reactions at the supports. [FIG 2]
3. A simply supported beam at the ends carries distributed load which varies according to the law y=6x^3 where y is in KN/m and x is in metres measured from the left end of the beam. Determine the reactions at the supports. Length of beam = 5m. [FIG 3]
4. A simply supported beam of length 10m carries the uniformly distributed load and two point loads as shown in [FIG 4].Calculate the reaction RA and RB.
5. A simply supported beam of length 5m carries a uniformly increasing load of 800N/m at one end to 1600N/m at the other end. Calculate the reactions at both ends. [FIG 5]
PROBLESM ON OVERHANGING BEAM
6. Calculate the reactions at both ends for the given overhanging beams.[FIG 6]
PROBLEMS ON ROLLER AND HINGED SUPPORTED
7. A beam AB of span 6m is hinged at A and supported on rollers at end B and carries load as shown in [FIG 7].Determine the reactions at A & B.
PROBLEMS WHEN BEAMS ARE SUBJECTED TO COUPLES
8. A simply supported beam AB of 7m span is subjected to (i) 4KNm clockwise couple at 2m from A,(ii) 8KN m anticlockwise couple at 5m from A and (iii) a triangular load with zero intensity at 2m from A increasing to 4KN per m at a point 5 m from A. Determine reactions at A and B. [FIG 8]
9. Find the reactions at the supports A and B of the beam shown in [FIG 9].
10. A beam AB of span 8m is subjected to the uniformly distributed load of 1KN/m over the entire length and the moment 32KNm at C as shown in [FIG 10].Determine the reactions at the both ends.

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