(a) The Figure la show the cross-section of a beam. All dimension are in cm. 10 2 10 Figure la (i) Calculate the centroid of the cross-section measured from the bottom of the cross section. (ii) Calculate the moment of inertia, I, for this cross-section. (iii)A pure bending moment of magnitude 1.0 kN.m is applied to the cross- section, generating compression above the neutral axis, and tension below. Calculate the maximum values of the tensile and compressive stress.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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(a) The Figure la show the cross-section of a beam. All dimension are in cm.
10
2
10
Figure la
(i) Calculate the centroid of the cross-section measured from the bottom of the
cross section.
(ii) Calculate the moment of inertia, I, for this cross-section.
(iii)A pure bending moment of magnitude 1.0 kN.m is applied to the cross-
section, generating compression above the neutral axis, and tension below.
Calculate the maximum values of the tensile and compressive stress.
(iv)The bending moment is removed. The same beam cross-section is now subject
to a vertical shear force of 2.5 kN acting in the downward. Calculate the
maximum horizontal shear stress. Where does it occur?
Transcribed Image Text:(a) The Figure la show the cross-section of a beam. All dimension are in cm. 10 2 10 Figure la (i) Calculate the centroid of the cross-section measured from the bottom of the cross section. (ii) Calculate the moment of inertia, I, for this cross-section. (iii)A pure bending moment of magnitude 1.0 kN.m is applied to the cross- section, generating compression above the neutral axis, and tension below. Calculate the maximum values of the tensile and compressive stress. (iv)The bending moment is removed. The same beam cross-section is now subject to a vertical shear force of 2.5 kN acting in the downward. Calculate the maximum horizontal shear stress. Where does it occur?
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