MECH 411M MECHANIGS 0F DEFGRMHLESOLIDS
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For all the problems listed below. take the material considered to he steel with the following
properties:
Young's modulus E = Edi] GPo; Poisson '3 ratio v F cfw_13:
Dentin: p = F350
. steers 41m MECHANICS or ossomsw seems '
1. Determine the stresses o a" 1:,ljf for the stress function
_ 4=1x4+m+uohd+mf+u
assunuugthst (a) o,tr3,toandosreulizero;
(h) omoqmrdtrjsreallzero
Draw a sketch showing-the boundary stresses on apIste horried by
CARLETON UNIVERSITY
TEST #1
FEB 8 2016
DURATION: 75 mins
No. of Students: 50
Department Name & Course Number: Mechanical & Aerospace Engineering MECH 4101
Instructor(s): Dr. Shashank Pant
AUTHORIZED MEMORANDA
Course notes and calculator are permitted.
1.
APPENDIX G
Deflections and Slopes
of Beams
Table GI Deecom and slopes of cantilever beans
I; = deection in y direction
A 8
g < 5o x v' = dv/dx = slope of deection curve
\rL-l 0.
6, = v(L) = deection at right end of beam
y 0, = o'(L) = angle at right end
bapp04.qxd
7/20/11
7:51 PM
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APPENDIX
D
Shear, Moment, and Deflection
Equations for Beams
Appendix D-1 Shear, Moment, and Deflection Equations for Cantilever Beams
Slope at
Free End
1. Concentrated load at end
Maximum Deflection
Deflection D
at Any
MECH 41111 MECHANICS 0F BEFOWLE SHED-5'
ELASTDPLASTIC ANALYSIS
1.
A beam cit elastic-perfectly plastic material [11 m wide it cfw_1.2 tn deep is loaded it! a pure
enuple until the radius ni surname is St] at. The yield stress of the material is 13!?! MPa
CARLETON UNIVERSITY
TEST #2
MAR 16 2016
DURATION: 1 Hour 15 Minutes
No. of Students: 51
Department Name & Course Number: Mechanical & Aerospace Engineering MECH 4101
Instructor(s): Dr. Shashank Pant
AUTHORIZED MEMORANDA
Course notes and calculator are per
MECH 4101
Creep Analysis
For a gas turbine component using the data provided in Table 1. Find:
1. The expected life for the component at:
a. 650C with a stress of 240MPa
b. 970C with a stress of 40 MPa.
2. What is the maximum operation temperature if the
2.5 Alternative solution.
F2
F1
1
0
x1
2
x2
xp
1+ 2
x
Let's use xP as a coordinate of the intermediate plastic hinge, F1 as a concentrated force
equivalent to the distributed force acting between the left end of the beam and xP, F2 as a
concentrated forc
Road Map for Conduction Lectures
MECH 4406
Heat Transfer
HDE:
C p
T
T T T
k
k
k
g
t x x y y z z
Special Cases we consider:
1. One Dimensional
a) Space
i) No energy generation:
Prof. Matthew Johnson, Ph.D., P.Eng.
Canada Research Chair in Energy & C
MECE 41M MECILEILNICS 0F DEFRBIE SEEDS
SHOCK ACT LE
In all the pmbfem imd bEIW. gimme that there 1': no energy 103-? during WWI #5043335-
'I. Tm steel bars ofdxmar cross-sectiun with dynamic yield math $245 MEI are to be
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