5.20 (B). State Clapeyron's theorem of three moments. A continuous beam ABCD is constructed of built-up sections whose effective flexural rigidity El is constant throughout its length. Bay lengths are AB = 1 m, BC = 5 m, CD = 4 m. The beam is simply supported at B, C and D, and carries point loads of 20kN and 60kN at A and midway between C and D respectively, and a distributed load of 30 kN/m over BC. Determine the bending moments and vertical reactions at the supports and sketch the B.M. and S.F. diagrams. [U.Birm.] [- 20, - 66.5, OkN m; 85.7, 130.93, 13.37 kN.]
5.20 (B). State Clapeyron's theorem of three moments. A continuous beam ABCD is constructed of built-up sections whose effective flexural rigidity El is constant throughout its length. Bay lengths are AB = 1 m, BC = 5 m, CD = 4 m. The beam is simply supported at B, C and D, and carries point loads of 20kN and 60kN at A and midway between C and D respectively, and a distributed load of 30 kN/m over BC. Determine the bending moments and vertical reactions at the supports and sketch the B.M. and S.F. diagrams. [U.Birm.] [- 20, - 66.5, OkN m; 85.7, 130.93, 13.37 kN.]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
I need answer part 20 , within 20 minutes please please with my best wishes
![5.17 (B). A simply supported beam AB is 7 m long and carries a uniformly distributed load of 30 kN/m run. A
couple is applied to the beam at a point C, 2.5 m from the left-hand end, A, the couple being clockwise in sense and of
magnitude 70 kNm. Calculate the slope and deflection of the beam at a point D, 2 m from the left-hand end. Take
El = 5 x. 10' Nm?.
[E.M.E.U.] [5.78 × 10-3 rad, 16.5 mm.]
5.18 (B). A uniform horizontal beam ABC is 0.75 m long and is simply supported at A and B, 0.5 m apart, by
supports which can resist upward or downward forces. A vertical load of 50 N is applied at the free end C, which
produces a deflection of 5 mm at the centre of span AB. Determine the position and magnitude of the maximum
deflection in the span AB, and the magnitude of the deflection at C.
[E.I.E.][5.12 mm (upwards), 20.1 mm.]
5.19 (B). A continuous beam ABC rests on supports at A, B and C. The portion AB is 2 m long and carries a
central concentrated load of 40 kN, and BC is 3 m long with a u.d.l. of 60KN/m on the complete length. Draw the S.F.
and B.M. diagrams for the beam.
[-3.25, 148.75, 74.5 kN (Reactions); Mg -46.5 kN m.]
5.20 (B). State Clapeyron's theorem of three moments. A continuous beam ABCD is constructed of built-up
sections whose effective flexural rigidity El is constant throughout its length. Bay lengths are AB = 1 m, BC = 5 m,
CD = 4 m. The beam is simply supported at B, C and D, and carries point loads of 20kN and 60KN at A and midway
between C and D respectively, and a distributed load of 30kN/m over BC. Determine the bending moments and
vertical reactions at the supports and sketch the B.M. and S.F. diagrams.
[U.Birm.] [- 20, – 66.5, OkN m; 85.7, 130.93, 13.37 kN.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff323ee9d-7d94-4ef6-846e-2bdf97f2c11f%2F9fa8d70b-5038-4e36-8176-b4a45cc162a9%2Fxwf5gha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.17 (B). A simply supported beam AB is 7 m long and carries a uniformly distributed load of 30 kN/m run. A
couple is applied to the beam at a point C, 2.5 m from the left-hand end, A, the couple being clockwise in sense and of
magnitude 70 kNm. Calculate the slope and deflection of the beam at a point D, 2 m from the left-hand end. Take
El = 5 x. 10' Nm?.
[E.M.E.U.] [5.78 × 10-3 rad, 16.5 mm.]
5.18 (B). A uniform horizontal beam ABC is 0.75 m long and is simply supported at A and B, 0.5 m apart, by
supports which can resist upward or downward forces. A vertical load of 50 N is applied at the free end C, which
produces a deflection of 5 mm at the centre of span AB. Determine the position and magnitude of the maximum
deflection in the span AB, and the magnitude of the deflection at C.
[E.I.E.][5.12 mm (upwards), 20.1 mm.]
5.19 (B). A continuous beam ABC rests on supports at A, B and C. The portion AB is 2 m long and carries a
central concentrated load of 40 kN, and BC is 3 m long with a u.d.l. of 60KN/m on the complete length. Draw the S.F.
and B.M. diagrams for the beam.
[-3.25, 148.75, 74.5 kN (Reactions); Mg -46.5 kN m.]
5.20 (B). State Clapeyron's theorem of three moments. A continuous beam ABCD is constructed of built-up
sections whose effective flexural rigidity El is constant throughout its length. Bay lengths are AB = 1 m, BC = 5 m,
CD = 4 m. The beam is simply supported at B, C and D, and carries point loads of 20kN and 60KN at A and midway
between C and D respectively, and a distributed load of 30kN/m over BC. Determine the bending moments and
vertical reactions at the supports and sketch the B.M. and S.F. diagrams.
[U.Birm.] [- 20, – 66.5, OkN m; 85.7, 130.93, 13.37 kN.]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning