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Test 1-371 - Sol

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University of Bahrain
College of Engineering
Department of Mechanical Engineering
CLASS
COURSE
SUBJECT
SEMESTER
B.Sc. in Mechanical Engineering
MENG 371
Mechanics of Materials
I - 2021/2022
St. Name
Solution
St. No.
Question No.
Max. Mark
Scored Mark
PILO’s –
CILO’s
Sec.
Q.1
10
Q.2
10
Q.3
10
1,1
1,1
2,1
∑
30
DATE
TIME
DURATION
Sunday 14/11/2021
9:00 – 10:30
1.5 hour
INSTRUCTIONS TO CANDIDATES:
1) Write clearly your name, number and section.
2) Start with new page for each question.
3) Answer all the following three questions.
4) Sketch if need and write the units of all answers.
(Test I)
Course instructor:
Dr. Maher Mahmood
Dr. Raguraman Kannan
Good luck
Q.1) In the structure
shown,
an
8-mmdiameter pin is used at
A, and 12-mm-diameter
pins are used at B and D.
Knowing
that
the
ultimate shearing stress
is 100 MPa at all
connections and that the
ultimate normal stress is
250 MPa in each of the
two links joining B and
D,
determine
the
allowable load P if an
overall factor of safety
of 3.0 is desired.
Q.2) Each of the four vertical links
connecting the two rigid horizontal
members is made of aluminum (E = 70
GPa) and has a uniform rectangular cross
section of 10 × 40 mm. For the loading
shown, determine the deflection of (a)
point E, (b) point F, (c) point G.
Area of one link:
Length: L = 300 mm = 0.3 m
Q.3) Three shafts and four gears are used to form a gear
train that will transmit power from the motor at A to a
machine tool at F. (Bearings for the shafts are omitted in
the sketch.) The diameter of each shaft is as follows: dAB
=16 mm, dCD =20 mm, dEF = 28mm. Knowing that the
frequency of the motor is 24 Hz and that the allowable
shearing stress for each shaft is 75 MPa, determine the
maximum power that can be transmitted.
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