B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: 0, X (M.I¸— M₂I¸)y+(M₂I₂ − M₂I¸ )² (1,1-12) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and Mz act on a cut plane facing in the positive x direction.

B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: 0, X (M.I¸— M₂I¸)y+(M₂I₂ − M₂I¸ )² (1,1-12) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and Mz act on a cut plane facing in the positive x direction.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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