A simply supported beam with a length of 5 meters and a rectangular cross section of breadth (b) and depth (d) of 150 mm and 250 mm, respectively, carries a central point load (?1= 10KN) and a tensile load (P2=500KN) on it’s free end that is applied through it’s centroid.  1) develop an equation for the maximum longitudinal direct stresses due to the central point-load and calculate it’s maximum tensile and compressive values. 2)By plotting these stresses on a diagram for distribution of stress through the depth of the beam, determine the maximum direct stresses induced in the beam 3)Use the plotted diagram to determine the location of the neutral axis with reference to the upper surface of the beam cross-section.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A simply supported beam with a length of 5 meters and a rectangular cross section of breadth
(b) and depth (d) of 150 mm and 250 mm, respectively, carries a central point load (?1= 10KN) and a tensile load (P2=500KN) on it’s free end that is applied through it’s centroid. 

1) develop an equation for the maximum longitudinal direct stresses due to the central point-load and calculate it’s maximum tensile and compressive values.

2)By plotting these stresses on a diagram for distribution of stress through the depth of the beam, determine the maximum direct stresses induced in the beam

3)Use the plotted diagram to determine the location of the neutral axis with reference to the upper surface of the beam cross-section. 

 

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