ENFD 375 BASIC STRENGTH OF MATERIALS QUIZ 7
The I beam shown is made by welding three plates together. I = 333.4 in4. If V = 120 kips, what is the shear stress in the welds?
Find Q of the shaded area.
0.75in Q = ( 0.75in )( 6in ) 6in - = 25.31
TRUSS ANALYSIS METHODS
Method of Joints
Draw a free body of a joint. Look at the equilibrium condition of the joint. Keep going until the desired force is obtained
TRUSS ANALYSIS METHODS
METHOD OF SECTIONS
Draw a free body of a part of truss.
ENFD 375 BASIC STRENGTH OF MATERIALS QUIZ 5
When checking a reinforced concrete beam for cracking, it is common to use the "gross section"; that is, the section ignoring the reinforcing bar. Shown is a "gross section" for a reinforced concrete beam
ENFD 375 BASIC STRENGTH OF MATERIALS QUIZ #3 Given: A steel column is fixed at the top and bottom and has a 30k force applied 10 ft from the top. It has an area of 10 in2 and an elastic modulus of 30000 ksi. Find the reactions, RA and RC . DO NOT AS
EXAMPLE: DEFORMATION OF A STEEL BAR
UNDER AXIAL LOADING
External forces applied
at centroids of
elements
APPLY FORCES TO A STEEL BAR, WHICH IS FIXED ON ONE
END. THE BAR IS COMPOSED OF THREE SECTIONS WITH
DIFFERENT CROSS-SECTIONAL AREAS AND DIFFERENT
LENG
STRAIN, STRENGTH AND STIFFNESS FOR A SPECIFIC MATERIAL
EXAMPLE: SPECIMENS MADE OF SAME MATERIAL, UNDERGOING TENSILE LOAD.
1 2 3
CHARACTERISTICS OF TENSILE SPECIMENS: 1. DIFFERENT CROSS-SECTIONAL AREA (A). 2. DIFFERENT LENGTH (L).
1
2
3
L1 A1
A2
BEARING STRESS
A compressive normal stress that is produced by the compression of one surface against another surface. In other words, bearing stresses occur on the surface of contact between two interacting members.
Bearing Stresses
P
b1 >
b2
b1
ENFD 375 BASIC ST TRENGTH OF MATE H ERIALS QUIZ 1 WINTER 2008 R
A corbell concrete column (Fi led, e igure 1) supp ports four be eams. The reaction at th end of eac he ch beam is 6 kips. The column can be modeled as shown i Figure 2. The column is
ENFD 375 Basic Strength of Materials Quiz #2
Consider the column from Quiz #1. The column is made of concrete with E= 4,000 ksi. The cross section is square and is 10 inches x 10 inches. How much does the column shorten (i.e. how much does point A
BIAXIAL STRESS SITUATION
x 0 y 0 z 0
y
Y
x
x
z
x
Y
HOOKE'S LAW FOR BIAXIAL STRESS SITUATION
x 0
x
y 0
x
E
z 0
y
E
y
Y
x
x
y z
x
E
y
E
x
x
E
y
E
z
Y
EXAMPLE PROBLEM 2 Determine the change in the thickness of the alum
FIRST MOMENT OF AREA
LET US CONSIDER A GENERIC AREA A LOCATED IN THE PLANE x-y. IF THE ELEMENTARY AREA dA HAS COORDINATES x AND y, WE DEFINE THE FIRST MOMENT OF AREA WITH RESPECT TO THE x AXIS AS:
Qx
A
y dA
NOTE THAT THE UNITS OF MEASUREMENT FOR M
How Do We Determine the Shear Modulus of Elasticity of a Material?
The determine G, the shear modulus of elasticity, a specimen of known length and diameter is placed in a torsion testing machine similar to that shown below.
Measuring the Modulus of
Introduction
WHAT DO A JAR OF RELISH, A DOORKNOB AND A CROSS WRENCH HAVE IN COMMON?
TORQUE = T = F x d =COUPLE
T
F
F
TORQUE = T = F x d =COUPLE
F
T
d
F
TORQUE = T = F x d =COUPLE
d
T
F
F
Torsion: Objectives
Determine the effects of appl
Introduction
WHAT DO A JAR OF RELISH, A DOORKNOB AND A CROSS WRENCH HAVE IN COMMON?
TORQUE = T = F x d =COUPLE
T
F
F
TORQUE = T = F x d =COUPLE
F
T
d
F
TORQUE = T = F x d =COUPLE
d
T
F
F
Torsion: Objectives
Determine the effects of appl
REVISIT ACTIONS ON A CROSS-SECTION OF AN AXIALLY LOADED MEMBER
F'
A
A
P
F'
F'
ACTION ON DIFFERENTIAL AREA OF CROSS-SECTION STRESS DIFFERENTIAL FORCE
dF
Normal Stress
X
Differential Area of cross-section
=
Differential Normal Force
x
Course:
Basic Strength of Materials
20-ENFD-375
Mike Baseheart Ph.D., P.E.
Office: 765 Baldwin Hall Office hours
M-W-F TBD Or by appointment
E-Mail: [email protected] Phone: (513) 556 3700 Mailbox: 765 Baldwin Hall Class materials ar
a
a
a
a
a
a
a
3
a
a
a
a
3
3
a
a
3
3
a
a
a
a
a
a
a
a
a
a
a
NAME: [2'50
ENFD 375 Basic Strength Of Materials
BASIC STRENGTH OF MATERIALS
V ENFD/375 - WINTER 2008 '
DR. MILLER
MIDTERM #2 .
N0 BOOKS 0R NOTES
FRIDAY, FEBRUARY 22, 2008; 4-5 P