. A square box beam is made of two 20X80mm planks and two 20X120mm planks nailed
together as shown. Knowing that the spacing between the nails is 8:50 mm and that the
allowable shearing force in each nail is 300 N, determine (a) the largest allowable vert
Q-1
Multiple
Choice
(5)
Midterm-I Exam
Q-2
Short
Answer
(15)
Q-3
Detailed
Answer
(10)
Q-4
Detailed
Answer
(10)
FINAL
(40)
THE UNIVERSITY OF BRITISH COLUMBIA
DEPARTMENT OF MECHANICAL ENGINEERING
MECH-360 Strength of Materials
February 2010
Time Allowed: 1
A wood beam AB of rectangular cross section serving as a roof purlin (Figs. 6-16a
and b) is simply supported by the top chords of two adjacent roof trusses. The
beam supports the weight of the roof sheathing and the roong material, plus its
own weight and
Tutorial 8
ME
ECH 360
0
Tutorial 7 Winter 1 (2011-2
T
l
W
2012)
1. A squ box bea is made of two 2080
uare
am
o
0-mm plank and two 20
ks
0120-mm p
planks nailed
d
togeth as shown Knowing that the spac
her
n.
cing between the nails is s=50 mm a that the
n
s
MECH 360
Tutorial 5 ~- Winter 1 (20112012)
I. The couple M is applied to a beam of the cross section shown in a plane forming an angle
[3 with the vertical. Determine the stress at (a) point A, (b) Point B, (c) point D.
Ccnfroial (D C
11 z 7;: (lug)
ME
ECH 360
0
Tutorial 5 Winter 1 (2011-2
T
l
W
2012)
1. The couple M is applied to a beam of the cross se
T
t
f
ection shown in a plane f
n
forming an a
angle
with the ver
rtical. Determ the stre at (a) poi A, (b) Po B, (c) po D.
mine
ess
int
oint
oint
2
7.60 For the state of stress shown, detennine the range of values of 0 for which
Pmblem 7'60 the magnitude of the shearing stress r. is eaua] to or less than 40 MPa.
30 MR1
80 M Pu
1|
6
I
0
P
T:
5m = iCGwGJ; = 'hOMPa,
R = cfw_(Mf )1 + m;
= 1/931
M 360 Tutorial 2
ME
ECH 360
0
Tutorial 2 Winter 1 (2011-2
T
l
W
2012)
1. The 1.5-in-diame shaft is made of a gr
1
eter
m
rade of steel for which th yield stren
he
ngth is Y = 42
ksi. Using the ma
U
aximum shea
aring stress criterion, det
c
termine the m
m
MECH 360 Tutorial 3
Tutorial 4
1.
MECH 360
MECH 360
Tutorial 3 Winter 1 (2011-2012)
Tutorial 3 Winter 1 (2011-2012)
1.
Use maximum distortion theory (von Mises) to determine
maximum Torque T that can be applied before yield occurs.
ANS: 820 N-m
2. Solve p
Tutorial 3
1
Problem 3: The rosette shown has been used to determine the following
strains at a point on the surface of a crane hook:
1 = 420 10 6 in. / in.
2 = 45 10 6 in. / in.
4 = 165 10 6 in. / in.
a) What should be the reading of gauge 3?
b) Deter
MECH 360
Tutorial 4 Winter 1 (201 1-2012)
1. A concrete beam is reinforced with steel rods as shown. The modulus of elasticity is 3 x
106 psi for the concrete and 30 x 106 psi for the steel. Using an allowable stress of 1350
psi for the concrete and 20
ME
ECH 360
0
Tutorial 5 Winter 1 (2011-2
T
l4 W
2012)
1. A concrete be is reinfo
eam
orced with st rods as s
teel
shown. The modulus of elasticity is 3 x
6
6
10 psi for the concrete an 30 x 10 psi for the st
e
nd
p
teel. Using a allowable stress of 13
an
1.
MECH 360 - Homework 1
Describe what is meant by, a principal stress and a principal direction. In your description,
mention three special features of principal stresses and their directions.
A Pm'crf'm/ amide ,s a ca'recétom' m' a rreuep/
material) P