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TO BE RETURNED AT THE END OF EXAMINATION.

THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE.

SURNAME: ___________________

FIRST NAME: ___________________

STUDENT NUMBER: ___________________

COURSE: ___________________

Tutor’s name: ___________________

Tutorial class day & time: ___________________

__________________________________________

AUTUMN SEMESTER 2015

SUBJECT NAME : MECHANICS OF SOLIDS

SUBJECT NO : 48331

DAY/DATE :

TIME ALLOWED : 3 Hours 10 Min

START/END TIME :

NOTES/INSTRUCTIONS TO CANDIDATES :

There are seven (7) questions.

All questions are to be attempted . Show your work clearly.

The value of each question is as indicated on the question paper.

THIS IS A CLOSED BOOK EXAMINATION.

Non-programmable calculators and drawing instruments may be used.

Formulas are listed on the last page.

Write your tutor’s name on the answer booklet.

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FORMULAS

My I

σ = − N A

σ = VQ

q I

= VQ I b

τ =

( )

2

2e

EI P KL

π =

T G J L

θ τ ρ = =

4

32d

J π = (d =diameter)

( ) ( )x y xy1 1 cos2 sin22 2 x yσ σ σ σ σ τ = + + − + ( )x y xy1 sin 2 cos22τ σ σ τ

= − − +

( )2

x y 2max,min x y xy

12 2

σ σ σ σ σ τ

− = + ± +

2

x y 2max xy2

σ σ τ τ

− = +

xy p

x y

2tan 2

τ σ σ

=−

E

σ ε = xy xy

G

τ γ = T TLδ α = ∆

PL

EAδ =

0

d b

F q s=

max

I Z

y= p

y

M S

σ = p

y

M S k

M Z = =

2 xx x I Ar =

2 yy y I Ar =

Effective length factor K

3

12 xxbh

I =