Name:
Session:
2
Beam AB and CD (both have constant bending rigidity EI) are connected by the cable BC
(axial rigidity EA, length H). Beam CD is subjected to a uniformly distributed load q as
shown in
Name:
Session:
For the beam shown below, determine the deflection C in terms of P, L, E and I using
superposition and the tables provided on the next page.
A
B
C
2
Name:
Session:
2
1. Derive the equation of the deflection curve for a beam (EI = constant) subjected to
uniformly distributed load (see figure). Also, determine the deflection at the midpoint of
48 EI
Name:
Session:
The cantilever beam is subjected to the loading shown. Draw the shear-force and
bending-moment diagrams and then determine the maximum bending stress. Draw the
freebody diagram first.
M
Name:
Session:
2
1. Draw the FBD and then find the reactions for the beam shown below.
P
F
M
x
a
Ax
F
y
Ay
a
a
a
=0
A
Ax = P
= 0 3RD a = Pa
RD = P 3
=0
Ay = P 3
RD
2. Draw the shear-force and bendin
Name: SDWTWIJ Session:
The pressurized tank (E, V) with diameter of 1000 nun is made of 8 mm thick plate. The
normal stress cry (stress in the y-direction normal to the weld) is 60 MPa.
Determine th
1.
A(, 0)
B(3, 0)
x1y1
2.
x = , y =z = 0
1
x ( y + z ) =
E
E
1
y = y ( z + x ) =
E
E
1
z = z ( x + y ) =
E
E
[
]
[
]
[
x =
]
Change in length in x direction: a x =
E
Change in length in y direct
A solid circular bar is fixed between rigid wall at points A and C. A uniformly
distributed torque t is then applied to the bar over the region AB (see figure). Assume
that the bar has shear modulus G
Name:_
Session:_
Problem 1: A stepped shaft ACB is held against rotation at ends A and B and subjected to
a torque T0 acting at section C. The two segments of the shaft (AC and CB) have
diameters dA a
Name:
Session:
2
A nonprismatic bar ABC made up of segments AB (length 2L, cross-sectional area 2A)
and BC (length L, cross-sectional A) is fixed at end A and free at end C (see figure). The
modulus o
1
2 nd
2
E M 319
M IDTERM EXAM
3
T ot.
NAME:
SESSION:
April 18, 2008, 4-6 pm, BUR 106
Closed books and notes exam Formula sheet provided
Exercise 1 (20 points)
A cylindrical pressure vessel of radius
Name:
Session:
2
A bar AB is supported by a hinge at point A and connected to a cable at point B as shown
below. A force P = 140 N is applied at point D that is 300 mm away from point A (see
figure).
EM 319
1St MIDTERM EXAM
NAME:
SESSION:
October 9, 2007, 6:30-8:30pm, FAC 21
Closed books and notes exam Exercise 1 (30 gointsl
The piie ABC of length L is partially buried in the soil. Assu
Exercise 3 (40 points)
During the construction of a bridge pier, a solid circular pile is driven into the earth by a
torque To. A distributed torque is induced during this process. The distributed tor
THE UNIVERSITY OF TEXAS AT AUSTIN
Department of Aerospace Engineering and Engineering Mechanics
EM 319 MECHANICS OF SOLIDS
FALL 2008
SYLLABUS
Unique Numbers:
14120, 14125, 14130, 14135
Instructor:
Yan
Shear force and Moment diagrams
Procedures for solving a question:
1.
2.
3.
4.
Solve for reactions. (After that, reactions can be regarded as applied forces.)
Draw shear force diagram.
Draw bending mo