6.7 A 3 m long cantilever ABC is built-in at A, partially supported at B, 2 m from A, with a force of 10 kN and carries a vertical load of 20 kN at C. A uniformly distributed load of 5 kN/m is also applied between A and B. Determine (a) the values of the vertical reaction and built-in moment at A and (b) the deflection of the free end C of the cantilever. Develop an expression for the slope of the beam at any position and hence plot a slope diagram. E = 208 GN/m² and I = 24 × 10-6 m². [20 kN, 50 kNm, - 15 mm]
6.7 A 3 m long cantilever ABC is built-in at A, partially supported at B, 2 m from A, with a force of 10 kN and carries a vertical load of 20 kN at C. A uniformly distributed load of 5 kN/m is also applied between A and B. Determine (a) the values of the vertical reaction and built-in moment at A and (b) the deflection of the free end C of the cantilever. Develop an expression for the slope of the beam at any position and hence plot a slope diagram. E = 208 GN/m² and I = 24 × 10-6 m². [20 kN, 50 kNm, - 15 mm]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![6.7 A 3 m long cantilever ABC is built-in at A, partially supported at B, 2 m from A,
with a force of 10 kN and carries a vertical load of 20 kN at C. A uniformly distributed
load of 5 kN/m is also applied between A and B. Determine (a) the values of the vertical
reaction and built-in moment at A and (b) the deflection of the free end C of the
cantilever.
Develop an expression for the slope of the beam at any position and hence plot a
slope diagram. E = 208 GN/m² and I = 24 × 10-6 m². [20 kN, 50 kNm, - 15 mm]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e140b8f-0911-421f-b90c-e94a997accfc%2Ffbf485a9-6a25-4f0e-8309-9fb4ee81d72f%2F1bsbxlz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.7 A 3 m long cantilever ABC is built-in at A, partially supported at B, 2 m from A,
with a force of 10 kN and carries a vertical load of 20 kN at C. A uniformly distributed
load of 5 kN/m is also applied between A and B. Determine (a) the values of the vertical
reaction and built-in moment at A and (b) the deflection of the free end C of the
cantilever.
Develop an expression for the slope of the beam at any position and hence plot a
slope diagram. E = 208 GN/m² and I = 24 × 10-6 m². [20 kN, 50 kNm, - 15 mm]
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 2 steps with 2 images
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