3.11 A beam, 12 m long, is to be simply supported at 2 m from each end and to carry a u.d.1. of 30 kN/m together with a 30 kN point load at the right-hand end. For ease transportation of 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 (the joint is to be a point of contraflexure)? What will 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.

3.11 A beam, 12 m long, is to be simply supported at 2 m from each end and to carry a u.d.1. of 30 kN/m together with a 30 kN point load at the right-hand end. For ease transportation of 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 (the joint is to be a point of contraflexure)? What will 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3.11 A beam, 12 m long, is to be simply supported at 2 m from each end and to carry a u.d.1. of 30
kN/m together with a 30 kN point load at the right-hand end. For ease transportation of 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 (the joint
is to be a point of contraflexure)? What will 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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Step 3 Determination of unknown load W and support reactions

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Step 4 Shear Force Diagram

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Step 5 Determination of Maximum BM and location of secont joint

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