Problem (6)
Demonstrate that xy =yx by use of the appropriate equilibrium equations and the
infinitesimal material element V = xyz
Sol:
The superscript + means exposed faces while no superscript means hidden faces.
Actually they have slightly difference
Cover sheet and Problem 1
Name: _,
(Print)
(Last)
_ Instructor: Susilo Koslowski Raman
(First)
(Circle one)
ME 323 FINAL EXAM
FALL SEMESTER 2011
Time allowed: 2 hours
Instructions
1. There are 4 problems, each problem is of equal value. The first problem
Cover sheet and Problem 1
Name: _,
(Print)
(Last)
_ Instructor: Susilo Koslowski Raman
(First)
(Circle one)
ME 323 FINAL EXAM
FALL SEMESTER 2011
Time allowed: 2 hours
Instructions
1. There are 4 problems, each problem is of equal value. The first problem
8-20 (d) Vc(t) 20 20
I
8-20 (d) Vc(t) 20
II
8-20 (d) Vc(t)
15
15
15
10 Vc (t) (V) Vc (t) (V)
10 Vc (t) (V) 0 0.1 0.2 t (s) 0.3 0.4
10
5
5
5
0
II
I
0
0
-5
-5
-5
0
0.1
0.2 t (s)
0.3
0.4
0
0.1
0.2 t (s)
0.3
0.4
8-20 (d) I (t) c 0.6 0.6
I
8-20 (d) c (t) I 0.6
ME 323: Mechanics of Materials
Homework Set 5
Spring Semester 2013
Due Date: 2/15/2013
Problem 1
Given, GA=10*106 psi, GB=20*106 psi, GC=15*106 psi
(a) Plot a graph of maximum shear stress max in the shafts vs x. Disregard any
stress concentration at the
ME 323: Mechanics of Materials
Homework Set 4
Spring Semester 2013
Due Date: 2/8/2013
Problem 1
Three rods are pinned together as shown below. The members support a 22.5kN
force at B as shown. What is the internal axial force in each member? The members
h
ME 323: Mechanics of Materials
Homework Set 4
Spring Semester 2013
Due Date: 2/8/2013
Problem 1
Three rods are pinned together as shown below. The members support a 22.5kN
force at B as shown. What is the internal axial force in each member? The members
h
ME 323: Mechanics of M aterials
Spring Semester 2013
Homework Set 3
Due Date: 2/1/2013
Problem 1
The composite bar below is made of aluminum of diameter d1 and steel of diameter d2.
The bar is subjected to tensile force P. If the bar elongates by e, what
Homework #14
Assigned 11/29 due 12/7
Example #1
The cylinder shown here has an inner diameter of 4. in. and a wall thickness of 0.1
in. It is subjected to an internal pressure of 80 psi, and axial load
Homework #12
Assigned 11/9 due 11/16
Example #1
Example #2
Example #3
Example #4
The pencil sculpture shown below is located on campus. Given the mass of the
structure (assume 150 k
Homework #11
Assigned 10/26 due 11/05
Example #1
A stress is given as x 10MPa, y 20MPa, xy 20MPa .
Draw Mohrs circle and indicate all relevant quantities of the stress state, including
points X and Y, the principal stresses, the maximum shear stress, and
Homework #11
Assigned 10/26 due 11/05 (Monday)
Example #1
A stress is given as x 10MPa, y 20MPa, xy 20MPa .
Draw Mohrs circle and indicate all relevant quantities of the stress state, including
points X and Y, the principal stresses, the maximum shear str
Homework #10
Assigned 10/19 due 10/26
Example #1
For the beam shown (and assuming the bending rigidity EI known), determine the
reaction forces and moments under consideration of load F.
Example #2
For th
Homework #9
Assigned 10/12 due 10/19
Example #1
Skateboards can be considered as beams. Typical geometries and load
configurations are shown below in Figures 1 and 2.
Deck Thickness 3/8 in.
33 in.
(wheelbase)
8 in.
Figure 1: Dimensions of a typical skateb
Homework #9
Assigned 10/12 due 10/19
Example #1
Skateboards can be considered as beams. Typical geometries and load
configurations are shown below in Figures 1 and 2.
Deck Thickness 3/8 in.
33 in.
(wheelbase)
8 in.
Figure 1: Dimensions of a typical skateb
ME 323 Fall 2012
Homework Assignment #8
Assigned: October 5
Due: October 12
For all problems in this homework set, the x-
axis is aligned with the neutral axis of
the beam with point O lying on the neutral axis.
Proble
2.19625kN
Ignore this part
Traditional method
The results for last two expressions are slightly different when x=5m,
which is due to the round-off when calculating the F2.
ME 323 Fall 2012
Homework Assignment #7
Assigned: September 28
Due: October 6
Problem 7-
1 (10 pts)
(in the drawings ignore the vertical lines, my scanner is defect)
For the beam shown:
(a) Determine the reaction