A bar of a uniform cross-section is rigidly fixed at one end and loaded by an off-centre tensile poi F = 2.5 kN at the other end, see Fig. Q1a. The Figure Q1b presents the view of the beam from th end where the point of application of the load Fis indicated as A. The allowable stress [0]=276 M The geometrical parameters are given as follow h=21 mm, b=37 mm

Elements Of Electromagnetics
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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 = 2.5 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 Fis indicated as A. The allowable stress [0]=276 MPa
The geometrical parameters are given as follow
h=21 mm,
N
T
b=37 mm
9
Figure Q1a
Figure Q1b
7
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 = 2.5 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 Fis indicated as A. The allowable stress [0]=276 MPa The geometrical parameters are given as follow h=21 mm, N T b=37 mm 9 Figure Q1a Figure Q1b 7
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
The bending moment relative to y-axis My on the cross section can be calcualted as
The second moment of area relatve to z-axis can be calculated as
mm4
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
mm
The magnitude of the maximum normal stress in the beam can be calculated as
b)
Q2- the magnitude of the minimum normal stress in the beam and where within the beam it is
achieved.
Let C denote the point that achieves minimum normal stress on the cross section of the beam
The y-coordinate of C is
The z-coordinate of C is
mm
MPa
mm
The magnitude of the minimum normal stress in the beam can be calculated as
MPa
N.mm.
N.mm.
Transcribed Image Text: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 The bending moment relative to y-axis My on the cross section can be calcualted as The second moment of area relatve to z-axis can be calculated as mm4 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 mm The magnitude of the maximum normal stress in the beam can be calculated as b) Q2- the magnitude of the minimum normal stress in the beam and where within the beam it is achieved. Let C denote the point that achieves minimum normal stress on the cross section of the beam The y-coordinate of C is The z-coordinate of C is mm MPa mm The magnitude of the minimum normal stress in the beam can be calculated as MPa N.mm. N.mm.
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