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.

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