CE 3303 Mechanics of Solids Spring 2015 Exam 4
Strain Transformation
The state of plane strain on an element is ex = 250(10'6), a, = O, and vxy = 100(106).
1) Determine the maximum magnitude of the two principal strains. (4 pts}
_ _ -a:o+o ,3; -01 07
9.
Spring 2014
Exam II
CE 3303 Mechanics of Solids
Question 1: Stress-Strain Diagram
On the diagram provided, label the points and regions on the stress-strain diagram which represents the
following: (10 points)
1)
a) Yield Stress, Y
b) Ultimate Stress, u
c)
CE 3303 Solids Exam [ll
Moment of Inertia
1) Determine the location of the centroid of the
cross-section in terms of the distance from the
section bottom. (10 pts) I
2m
y: Ll - 85' in.
8n
_ ill-53:,
f i .
I: A L 2m
2 Determine the moment of inertia of
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 17 - Solutions
Problem 1
Given: A steel scuba tank is 24.0 in. long and has an external diameter of 7.25 in.
and an internal diameter of 6.75 in. The tank is to carry a pressure of 3000 psi .
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 19 - Solutions
Problem 1
y
30 MPa
Given: The state of stress at a point in a member
x
Find: The stress components acting on the inclined
plane. Sketch the inclined element.
25 MPa
40 MPa
Solu
CE 3303-001
Mechanics of Solids
Homework Assignment 22 - Solutions
Spring 2013
z
30 MPa
Problem 1
y
Given: The state of stress on an element
25 MPa
x
50 MPa
Find: The principal stresses and the absolute maximum
shear stress.
Solution:
40 MPa
sh is
ar stu
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 25 - Solutions
Problem 1 (Problem 10-40 from text)
Given: The steel beam with a measured strain at
A, x 100 106 . Est 29 103 ksi and
v 0.3
Find: The load P and the shear strain, xy .
Soluti
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 26
Problem 1
Given: The yield stress for a bronze C86100 copper alloy is 50 ksi . The machine part made of this
material and a critical point in the material is subjected to in-plane principa
CE 3303 001
Mechanics of Solids
Spring 2013
Homework Assignment 28 - Solutions
Problem 1
Given: A W 8 24 beam made of A-36 steel with loading shown.
24.0 kip
C
B
A
6.0 ft
2 ft
sh is
ar stu
ed d
vi y re
aC s
ou
ou rc
rs e
eH w
er as
o.
co
m
3.0 ft
Find: Th
CE 3303 001
Mechanics of Solids
Spring 2013
Homework Assignment 30 - Solutions
Problem 1
Given: A 81.5 kg student climbing a 20 m wooden flagpole.
The center of gravity of the student aligns with the axis of the
pole. Ewood 13.1 GPa and I 4.91 106 mm4
2
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 20 - Solutions
y
35 MPa
Problem 1
Given: The state of stress at a point in a member.
x
Find: The average normal stress, the principal stresses
and the orientation of the principal stresses.
2
CE 3303-001
Mechanics of Solids
Spring 2013
Homework Assignment 21 - Solutions
y
35 MPa
Problem 1
Given: The state of stress on an element
x
Find: The average normal stress, the principal stresses,
the orientation of the principal stresses, the maximum
in
CE 3303 Mechanics of Solids
Equilibrium:
F
x
Summer II 2016
F
=0
y
F
=0
z
=0
Equation Sheet
T = 0
M = 0
Shear and Moment Diagrams:
The slope of the shear diagram at a point is equal to the intensity of the distributed load at the point.
The slope of the m
Fall 2016 Exam ll
CE 3303 Mechanics of Solids
Normal Stress and Strain, Average Shear Stress, Deformation
Three bars are connected by a pin at B. A weight is applied as
shown. The cross-sections of the three bars are identical with
dimensions 1 in. x 3 in
CE 3303 Mechanics of Solids Spring 2015 Exam 1
Rigid Body Equilibrium
The following beam has a roller at A, a pin (also called a hinge) at B and is fixed at C.
7 kip
2) Determine the magnitude of the vertical reaction at pin A. (5 pts)
1M :0 ngAQD
6.43
CE 3303 Mechanics of Solids Spring 2015 Exam 1
Rigid Body Equilibrium
The following beam has a roller at A, a pin (also called a hinge) at B and is fixed at C.
7 kip
2) Determine the magnitude of the vertical reaction at pin A. (5 pts)
1M :0 ngAQD
6.43
CE 3303 Mechanics of Solids Spring 2015 Exam 1
Rigid Body Equilibrium
The following beam has a roller at A, a pin (also called a hinge) at B and is fixed at C.
7 kip
2) Determine the magnitude of the vertical reaction at pin A. (5 pts)
1M :0 ngAQD
6.43
CE 3303 MECHANICS OF SOLIDS
Fall 2014
EXAMINATION1 - B
NAME L I I L .
EXAM TIME: 1 HR 30 MIN
INSTRUCTOR
CARTER - 001 CHEN - 002 CHEN - 003
MWF MW MWF
ITEMS FOR EXAM
PENCIL I ERASER APPROVED CALCULATOR STRAIGHT EDGE I RULER
ONE 8 112 x 11 SHEET OF EQUATION
STRESS
!
!
!
!
!
Stress
Average Normal Stress in an Axially Loaded
Bar
Average Shear Stress
Allowable Stress
Design of Simple Connections
1
Equilibrium of a Deformable Body
Body Force
w
FR
w(s)
Ax
A
.
C
D
Ay
Support Reaction
s
Dy
2
Table 1 Supports for
CE 3303-001
Mechanics of Solids
Homework Assignment 24 - Solutions
Spring 2013
y
Problem 1
x
Given: The strain gages read a 550 106 ,
b 100 106 and c 300 106
c
b
Find: Strains x , y and xy
Solution:
a
45
Using the strain rosette equations for a 0 , 45 ,
CE 3303 001
Mechanics of Solids
Spring 2013
Homework Assignment 28 - Solutions
Problem 1
Given:
25.0 lb
15.0 lb
x
B
A
7.5 ft
5.0 ft
sh is
ar stu
ed d
vi y re
aC s
ou
ou rc
rs e
eH w
er as
o.
co
m
5.0 ft
Find: The equation of the elastic curve using singul
CE 3303 001
Mechanics of Solids
Spring 2013
Homework Assignment 27 - Solutions
Problem 1
Given:
5.0 kN m
10.0 m
A
B
x
3.0 m
Find: The equations of the elastic curve and the deflection at 6.0 m from A for the shaft using double
integration and the x orient
Problem 1: A wood board with a 1.5 in by 4 in cross section is subjected to a tensile load of 80 lb.
Determine the average normal stress and average shear stress developed in the wood bers that are
oriented at 15 with the axis of the board.
M
A
t 1 as: v
Spring 2008 CE 3303 Mechanics of Solids
Problem 1: Draw the shear and moment diagrams for the following beams. Label a1] magnitudes,
vertiees and degrees of curvature. Indicate
the maximum shear and moment in each case.
200 lb
150 lb/ft
t 1"th *
CE 3303 - Mechanics of Solids Exam | Summer | 2016
Conceptual Questions
1) An internal, frictionless pin (also known as a hinge) can never carry an internal moment. (4 pts)
2) Shear and Moment Diagrams represent the forces acting throughout a system. (4 p
Spring 2014 Exam IV CE 3303 Mechanics of Solids
Questions 1 5: Stress Transformation
The state of stress for an element is represented by the Mohrs Circle. Each question is worth 4 points.
1 The maximum principal stress, 0'], for the
element represented b