3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to carry a U.d.l of 30kN/m together with a 30 KN point load at the right-hand end. For ease of transportation the beam is to be jointed in two places, one joint being Situated 5 m from the left-hand end. What load (to the nearest KN) must be applied to the left-hand end to ensure that there is no B.M. at the joint (i.e. the joint is to be a point of contraflexure)? What will then be the best position on the beam for the other joint? Determine the position and magnitude of the maximum B.M. present on the beam. [114 KN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction; 43.35 KN m.]

Elementary Geometry for College Students
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Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to
carry a U.d.l of 30kN/m together with a 30 KN point load at the right-hand end.
For ease of transportation the beam is to be jointed in two places, one joint being
Situated 5 m from the left-hand end. What load (to the nearest KN) must be
applied to the left-hand end to ensure that there is no B.M. at the joint (i.e. the
joint is to be a point of contraflexure)? What will then be the best position on the
beam for the other joint? Determine the position and magnitude of the maximum
B.M. present on the beam. [114 KN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction;
43.35 KN m.]
Transcribed Image Text:3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to carry a U.d.l of 30kN/m together with a 30 KN point load at the right-hand end. For ease of transportation the beam is to be jointed in two places, one joint being Situated 5 m from the left-hand end. What load (to the nearest KN) must be applied to the left-hand end to ensure that there is no B.M. at the joint (i.e. the joint is to be a point of contraflexure)? What will then be the best position on the beam for the other joint? Determine the position and magnitude of the maximum B.M. present on the beam. [114 KN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction; 43.35 KN m.]
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