A bar of a uniform cross-section is rigidly fixed at one end and loaded by an tensile point load F = 1.5 kN at the other end, see Fig. Q1a. The Figure Q1b view of the beam from the free end where the point of application of the load as A. The allowable stress [0]=208 MPa The geometrical parameters are given as follow

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.15P: An aluminum wire having a diameter d = 1/10 in. and length L = 12 ft is subjected to a tensile load...
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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 [0]=208 MPa
The geometrical parameters are given as follow
h=18 mm, b=51 mm
N
A.
b
Figure Q1a
h
x
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 [0]=208 MPa The geometrical parameters are given as follow h=18 mm, b=51 mm N A. b Figure Q1a h x
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
mm4
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
mm4
mm
The magnitude of the maximum normal stress in the beam can be calculated as
MPa
Transcribed Image Text: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 mm4 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 mm4 mm The magnitude of the maximum normal stress in the beam can be calculated as MPa
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