3.9 A beam ABCDE, with A on the left, is 7 m long and is simply supported at B and E. The lengths of the various portions are AB = 1.5 m, BC = 1.5 m, CD = 1 m and DE = 3 m. There is a uniformly distributed load of 15 kN/m between B and a point 2 m to the right of B and concentrated loads of 20 kN act at A and D with one of 50 kN at C. (a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero. (b) Determine the value of the B.M. at this point. (c) Sketch the B.M. diagram approximately to scale, quoting the principal values. [3.32 m; 69.8 kN m; 0, -30, 69.1, 68.1, 0 kNm]
3.9 A beam ABCDE, with A on the left, is 7 m long and is simply supported at B and E. The lengths of the various portions are AB = 1.5 m, BC = 1.5 m, CD = 1 m and DE = 3 m. There is a uniformly distributed load of 15 kN/m between B and a point 2 m to the right of B and concentrated loads of 20 kN act at A and D with one of 50 kN at C. (a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero. (b) Determine the value of the B.M. at this point. (c) Sketch the B.M. diagram approximately to scale, quoting the principal values. [3.32 m; 69.8 kN m; 0, -30, 69.1, 68.1, 0 kNm]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![3.9 A beam ABCDE, with A on the left, is 7 m long and is simply supported at B and E. The lengths
of the various portions are AB = 1.5 m, BC = 1.5 m, CD = 1 m and DE = 3 m. There is a uniformly
distributed load of 15 kN/m between B and a point 2 m to the right of B and concentrated loads of 20
kN act at A and D with one of 50 kN at C.
(a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero.
(b) Determine the value of the B.M. at this point.
(c) Sketch the B.M. diagram approximately to scale, quoting the principal values.
[3.32 m; 69.8 kN m; 0, -30, 69.1, 68.1, 0 kNm]
55](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F222847cb-8853-4080-8f9c-13030f118b8e%2F9760c19c-7d84-4e12-ab0d-874beca5f4cd%2F5xhb7hj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.9 A beam ABCDE, with A on the left, is 7 m long and is simply supported at B and E. The lengths
of the various portions are AB = 1.5 m, BC = 1.5 m, CD = 1 m and DE = 3 m. There is a uniformly
distributed load of 15 kN/m between B and a point 2 m to the right of B and concentrated loads of 20
kN act at A and D with one of 50 kN at C.
(a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero.
(b) Determine the value of the B.M. at this point.
(c) Sketch the B.M. diagram approximately to scale, quoting the principal values.
[3.32 m; 69.8 kN m; 0, -30, 69.1, 68.1, 0 kNm]
55
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