TUTORIAL 1
11 pages
English

TUTORIAL 1

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FAKULTI KEJURUTERAAN MEKANIKAL UNIVERSITI TEKNIKAL MALAYSIA MELAKA REKABENTUK KOMPONEN AUTOMOTIF BMCA 3633 TUTORIAL 1 Stress and Deformation Analysis 1. A tensile load of 5kN is applied to a square bar, 12mm on a side and having a length of 1.65m. Compute the stress and the axial deformation in the bar if it is made from a) AISI 1020 hot rolled steel(E=207GPa) e) Titanium Ti-6A1-4V(E=114GPa) b) AISI 8650 OQT 1000 steel(E=207GPa) f) Rigid PVC plastic(E=2.41GPa) c) Ductile iron A536-88 (60-40-18)(E=152GPa) g) Phenolic plastic(E=7.58GPa) d) Aluminum 6061-T6(E=69GPa) 2. Compute the stress in the middle portion of rod AC in Figure 1 if the vertical force on the boom is 11120N. The rod is rectangular, 38.1mm by 88.9mm. Figure 1 3. Refer Figure 1, each of the pins at A, B, and C has a diameter 0f 12.7mm and is loaded in double shear. Compute the shear stress in each pin. 4. Compute the torsional shear stress in a circular shaft with a diameter of 50mm that is subjected to a torque of 800Nm. If the shaft is 850mm long and is made of steel, compute the angle of twist of one end in relation to the other.(G=80GPa) 5. A 76.2mm diameter steel bar has a flat milled on one side, as shown in Figure 2. If the shaft is 1117.6mm long and carries a torque of 1197.8Nm, compute the stress and the angle of twist.(G=81.8GPa) Figure 2 mfa’07/T1/T8 1/3FAKULTI KEJURUTERAAN MEKANIKAL UNIVERSITI TEKNIKAL MALAYSIA MELAKA REKABENTUK KOMPONEN AUTOMOTIF ...

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FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
TUTORIAL 1
Stress and Deformation Analysis
mfa’07/T1/T8
1/3
1.
A tensile load of 5kN is applied to a square bar, 12mm on a side and having a length of
1.65m. Compute the stress and the axial deformation in the bar if it is made from
a)
AISI 1020 hot rolled steel(E=207GPa)
e) Titanium Ti-6A1-4V(E=114GPa)
b)
AISI 8650 OQT 1000 steel(E=207GPa)
f)
Rigid PVC plastic(E=2.41GPa)
c)
Ductile iron A536-88 (60-40-18)(E=152GPa) g) Phenolic plastic(E=7.58GPa)
d)
Aluminum 6061-T6(E=69GPa)
2.
Compute the stress in the middle portion of rod
AC
in Figure 1 if the vertical force on the
boom is 11120N. The rod is rectangular, 38.1mm by 88.9mm.
Figure 1
3.
Refer Figure 1, each of the pins at
A
,
B
, and
C
has a diameter 0f 12.7mm and is loaded in
double shear. Compute the shear stress in each pin.
4.
Compute the torsional shear stress in a circular shaft with a diameter of 50mm that is
subjected to a torque of 800Nm.
If the shaft is 850mm long and is made of steel, compute the angle of twist of one end in
relation to the other.(G=80GPa)
5.
A 76.2mm diameter steel bar has a flat milled on one side, as shown in Figure 2. If the
shaft is 1117.6mm long and carries a torque of 1197.8Nm, compute the stress and the
angle of twist.(G=81.8GPa)
Figure 2
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
TUTORIAL 1
Stress and Deformation Analysis
mfa’07/T1/T8
2/3
6.
Refer Figure 3, draw
a)
the free-body diagram of only the horizontal beam portion of the given figure.
b)
the complete shear and bending moment diagrams.
Where used, the symbol
X
indicates a simple support capable of exerting a reaction force
in any direction but having no moment resistance.
Figure 3
7.
Compute the maximum tensile stress in the bracket shown in Figure 4.
Figure 4
8.
For the plate in tension in Figure 5, compute the stress at each hole, assuming that the holes
are sufficiently far apart that their effects do not interact.
Figure 5
9.
Compute the maximum stress in the member as shown in Figure 6, considering stress
concentrations.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
TUTORIAL 1
Stress and Deformation Analysis
mfa’07/T1/T8
3/3
Figure 6
10.
Figure 7 shows a horizontal beam supported by a vertical tension link. The cross sections of
both the beam and the link are 20mm square. All connections use 8mm diameter
cylindrical pins in double shear.
a)
Draw the free-body diagram of only the horizontal beam portion of the given
figure.
b)
Draw the complete shear and bending moment diagrams.
c)
Compute the tensile stress in member
A
-
B
d)
Compute the stress due to bending in
C
-
D
e)
Compute the shearing stress in the pins
A
and
C
.
Figure 7
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
1/8
1.
2.
3.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
2/8
3.
4.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
3/8
5.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
4/8
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
5/8
7.
8.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
6/8
9.
10.
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
7/8
FAKULTI KEJURUTERAAN MEKANIKAL
UNIVERSITI TEKNIKAL MALAYSIA MELAKA
REKABENTUK KOMPONEN AUTOMOTIF
BMCA 3633
ANSWER TUTORIAL 1
Stress and Deformation Analysis
mfa’07/AT1/AT8
8/8
14.06GPa
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