5.22 (B). A beam, simply supported at its ends, carries a load which increases uniformly from 15 kN/m at the left- hand end to 100KN/m at the right-hand end. If the beam is 5 m long find the equation for the rate of loading and, using this, the deflection of the beam at mid-span if E = 200 GN/m? andI 600 x 10-6 m. [w = - (15+85x/L); 3.9 mm.]

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Chapter2: Loads On Structures
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I need answer part 22 , within 20 minutes please please with my best wishes
5.22 (B). A beam, simply supported at its ends, carries a load which increases uniformly from 15 kN/m at the left-
hand end to 100 kN/m at the right-hand end. If the beam is 5 m long find the equation for the rate of loading and,
using this, the deflection of the beam at mid-span if E = 200 GN/m2 and I = 600 x 10-6 m.
[w = - (15+ 85x/L); 3.9 mm.]
5.23 (B). A beam 5 m long is firmly fixed horizontally at one end and simply supported at the other by a prop. The
beam carries a uniformly distributed load of 30 kN/m run over its whole length together with a concentrated load of
60 kN at a point 3 m from the fixed end. Determine:
(a) the load carried by the prop if the prop remains at the same level as the end support;
(b) the position of the point of maximum deflection.
[B.P.] [82.16 kN; 2.075 m.]
5.24 (B/C). A continuous beam ABCDE rests on five simple supports A, B, C, D and E. Spans AB and BC carry a
u.d.l. of 60 kN/m and are respectively 2 m and 3 m long. CD is 2.5 m long and carries a concentrated load of 50 kN at
1.5 m from C. DE is 3 m long and carries a concentrated load of 50 kN at the centre and a u.d.l. of 30 kN/m. Draw the
B.M. and S.F. diagrams for the beam.
[Fixing moments: 0, - 44.91, - 25.1, 38.95, 0kN m. Reactions: 37.5s, 179.1, 97.83, 118.5, 57.02 kN.]
Transcribed Image Text:5.22 (B). A beam, simply supported at its ends, carries a load which increases uniformly from 15 kN/m at the left- hand end to 100 kN/m at the right-hand end. If the beam is 5 m long find the equation for the rate of loading and, using this, the deflection of the beam at mid-span if E = 200 GN/m2 and I = 600 x 10-6 m. [w = - (15+ 85x/L); 3.9 mm.] 5.23 (B). A beam 5 m long is firmly fixed horizontally at one end and simply supported at the other by a prop. The beam carries a uniformly distributed load of 30 kN/m run over its whole length together with a concentrated load of 60 kN at a point 3 m from the fixed end. Determine: (a) the load carried by the prop if the prop remains at the same level as the end support; (b) the position of the point of maximum deflection. [B.P.] [82.16 kN; 2.075 m.] 5.24 (B/C). A continuous beam ABCDE rests on five simple supports A, B, C, D and E. Spans AB and BC carry a u.d.l. of 60 kN/m and are respectively 2 m and 3 m long. CD is 2.5 m long and carries a concentrated load of 50 kN at 1.5 m from C. DE is 3 m long and carries a concentrated load of 50 kN at the centre and a u.d.l. of 30 kN/m. Draw the B.M. and S.F. diagrams for the beam. [Fixing moments: 0, - 44.91, - 25.1, 38.95, 0kN m. Reactions: 37.5s, 179.1, 97.83, 118.5, 57.02 kN.]
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