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]
Chapter9: Application Of Influence Lines
Section: Chapter Questions
Problem 11P
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![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]
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