. 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
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(5)
Midterm-I Exam
Q-2
Short
Answer
(15)
Q-3
Detailed
Answer
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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
MECH 360 - Homework 3
. The diagram shows a solid circular rod bent at a
right angle at point B. Compute the maximum
mass that can be hung from point D, allowing for
a factor of safety of 2. (The yaxis is vertical.)
Do the calculation using both the Tresc
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
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
MECH 360 HW2
1. In the fig shown z=0, if x and y are known experimentally, derive the equations for x, y and
z as shown below:
2.
3. A thin-walled pressure vessel is constructed using helical welding. The vessel has an inner radius
r=1.8m, wall thickness
V ' , a) (gag) ; 1
:1 991/
l Mi; r) f i A strain gauge is attached at 45° to the
longitudinal axis of a solid circular shaft
of diameter d = 2. When a torque T =
11000 lb.in is applied, the strain gage
reads a = 305 x 10'6. What is the shear
modulus o
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
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
MECH 360 - Homework 4
1. Explain the existence of longitudinal shear forces
in the wooden beam in question 2. Draw freebody diagrams of the two halves to illustrate your
explanation.
4. You are asked to determine the location of the
shear centre of the th
MECH 360 - Homework 2
1. A steel I-beam with the cross-section shown in the
diagram is bent around the z-axis. The steel may be
considered to be elastic-perfectly-plastic, with E = 29 x
106 psi and Y = 42 ksi. Determine the maximum
moment MY when yielding
MECH 360 - Homework 3
1. A 6x4 inches cross-section composite column is made
by joining an aluminum half (left side) to a steel half
(right side), each 3x4 inches in cross-section. An axial
load P = 100,000 lbs is applied at the geometric centre
of the co
4.
You are asked to determine the location of the
shear centre of the thin-walled beam of uniform
thickness whose cross-section is shown in the
diagram.
(a)
tb)
Find the second moment of area of the beam
[cJ
evaluate the shear force resultants
various par
Fur elastic: SwiuflOc/x
MECH 360 - Homework2
1. A steel Ibeam with the cross-section shown in the
diagram is bent around the z-axis. The steel may be
considered to be e1asticperfectly-plastic, with E = 29 x
106 psi and cm = 42 ksi. Determine the maximu
MECH 360 - Homework 3
l. A 6x4 inches cross-section composite column is made
by joining an aluminum half (left side) to a steel half
(right side), each 3x4 inches in cross-section. An axial
load P = 100,000 lbs is applied at the geometric centre
of the co
C 4.33 and 4.34 A bar having the cross section shown has been formed 8mm 3mm
" - ~ - ~32 1
by securely bonding brass and alumnum stock. Usmg the data glven below, HI.
date-mine the largest permissible bending moment when the composite bar is
bent about a