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.]
5.23 (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.]
Chapter9: Application Of Influence Lines
Section: Chapter Questions
Problem 11P
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I need answer part 23 , within 20 minutes please please with my best wishes
![5.21 (B). A continuous beam ABCD is simply supported over three spans AB = 1 m, BC = 2m and CD = 2 m.
The first span carries a central load of 20 kN and the third span a uniformly distributed load of 30 kN/m. The central
span remains unloaded. Calculate the bending moments at B and C and draw the S.F. and B.M. diagrams. The
supports remain at the same level when the beam is loaded.
[1.36, - 7.84 kN m; 11.36, 4.03, 38.52, 26.08 kN (Reactions).]
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 10-6m*.
[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 30KN/m. Draw the
B.M. and S.F. diagrams for the beam.
[Fixing moments: 0, - 44.91, - 25.1, - 38.95, 0kNm. Reactions: 37.55, 179.1, 97.83, 118.5, 57.02 kN.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff323ee9d-7d94-4ef6-846e-2bdf97f2c11f%2F2ed7261c-a461-48bf-b669-6a3b166b1715%2F2bjwjwq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.21 (B). A continuous beam ABCD is simply supported over three spans AB = 1 m, BC = 2m and CD = 2 m.
The first span carries a central load of 20 kN and the third span a uniformly distributed load of 30 kN/m. The central
span remains unloaded. Calculate the bending moments at B and C and draw the S.F. and B.M. diagrams. The
supports remain at the same level when the beam is loaded.
[1.36, - 7.84 kN m; 11.36, 4.03, 38.52, 26.08 kN (Reactions).]
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 10-6m*.
[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 30KN/m. Draw the
B.M. and S.F. diagrams for the beam.
[Fixing moments: 0, - 44.91, - 25.1, - 38.95, 0kNm. Reactions: 37.55, 179.1, 97.83, 118.5, 57.02 kN.]
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