Assignment 2 – MIET 2342 Mechanics of Solids - Transtutors

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Oct 30, 2013 (4 years and 9 days ago)

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Assignment 2


MIET 2342 Mechanics of Solids


1

Instruction to s
olve and submit this assignment:

1.This
a
ssignment is due on 26
th

October 2012

and carries 15

marks
to the




total
assessment.

2.

Each problem carries 10 marks and
the total score
will
be




rationalised to 15

marks

3.
Maximum 3 students in a group can submit this assignment.

4.

Apply Last 2 digits of your student numbers

for load case marked XXX
.

5
. Apply
2

different student
numbers

for
problems 1& 2
.




1: The cantilever
ed

beam is subjected to the load at
its
end shown in figure


below.



Determine:


a)

Principal stress
es

and the angle of plane in the beam at


point
A & B by analytical method.

b)


Principal stress
es

and the angle of plane in the beam at



point A & B by graphical method
.(
Construct Mohr’s

Circle)




















Assignment 2


MIET 2342 Mechanics of Solids


2

Instruction to s
olve and submit this assignment:

1.This
a
ssignment is due on 26
th

October 2012

and carries 15

marks
to the




total
assessment.

2.

Each problem carries 10 marks and
the total score
will
be




rationalised to 15

marks

3.
Maximum 3 students in a group can submit this assignment.

4.

Apply Last 2 digits of your student numbers

for load case marked XXX
.

5
. Apply
2

different student
numbers

for
problems 1& 2
.



2. The shaft is supported
at

A
by a
journal

bearing that exerts only vertical reaction



on the

S
haft

and at B by
a
thrust bearing that exerts both horizontal and vertical



reactions on the
shaft, draw

the
bending moment

diagram for the shaft and then




from this diagram sketch the
deflection or elastic curve for the shaft
’s

centre line.


Determine: The
deflection
at x
1

= x
2

= 100mm
and assume E= 200 GPa
and



diameter of the shaft is 20 mm,
as shown in the figure

below
.











Assignment 2


MIET 2342 Mechanics of Solids


3

Instruction to s
olve and submit this assignment:

1.This
a
ssignment is due on 26
th

October 2012

and carries 15

marks
to the




total
assessment.

2.

Each problem carries 10 marks and
the total score
will
be




rationalised to 15

marks

3.
Maximum 3 students in a group can submit this assignment.

4.

Apply Last 2 digits of your student numbers

for load case marked XXX
.

5
. Apply
2

different student
numbers

for
problems 1& 2
.



3
.

The steel bar AB has rectangular cross section. If it is pin connected at its ends,


Determine: The maximum
allowable intensity ‘w’ of the distributed load that can be


applied to BC without causing the bar AB to buckle. Use factor of


safety with respect to buckling F.S.= 1.5, E
st

=200 GPa,


σ
y= 360 MPa.