A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the free end where the point of application of the load F is indicated as A. The allowable stress [ o]-267 MPa The geometrical parameters are given as follow h=20 mm, b=37 mm F x

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.7.7P: A bar of monel metal with a length L = 9 in. and a diameter d = 0225 in. is loaded axially by a...
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A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point
load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from
the free end where the point of application of the load F is indicated as A. The allowable stress [
o]=267 MPa
The geometrical parameters are given as follow
h=20 mm, b=37 mm
Z
A.
T
b
Figure Q1a
Figure Q1b
h
F
Transcribed Image Text:A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile point load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from the free end where the point of application of the load F is indicated as A. The allowable stress [ o]=267 MPa The geometrical parameters are given as follow h=20 mm, b=37 mm Z A. T b Figure Q1a Figure Q1b h F
a)
Find:
Q1 - the magnitude of the maximum normal stress in the beam and where within the beam it is
achieved.
The bending moment relative to z-axis Mz on the cross section can be calcualted as
N.mm.
The bending moment relative to y-axis My on the cross section can be calcualted as
N.mm.
The second moment of area relatve to z-axis can be calculated as
The second moment of area relative to y-axis can be calculated as
Let B denote the point that achieves maximum normal stress on the cross section of the beam
The y-coordinate of B is
The Z-coordinate of B is
mm
mm
mmª
mm4
The magnitude of the maximum normal stress in the beam can be calculated as
MPa
Transcribed Image Text:a) Find: Q1 - the magnitude of the maximum normal stress in the beam and where within the beam it is achieved. The bending moment relative to z-axis Mz on the cross section can be calcualted as N.mm. The bending moment relative to y-axis My on the cross section can be calcualted as N.mm. The second moment of area relatve to z-axis can be calculated as The second moment of area relative to y-axis can be calculated as Let B denote the point that achieves maximum normal stress on the cross section of the beam The y-coordinate of B is The Z-coordinate of B is mm mm mmª mm4 The magnitude of the maximum normal stress in the beam can be calculated as MPa
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