ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #8
Solution Set
1. One should begin by drawing a free-body diagram for the beam, as shown below. There
are horizontal and vertical react
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #9
Solution Set
1. There are dierent approaches one can take (e.g., one could begin with a free-body
diagram of the entire truss to dete
ENGR0135 - Statics and Mechanics of Materials 1 (2141)
Homework #9
Solution Set
1. There are different approaches one can take (e.g., one could begin with a free-body
diagram of the entire truss to de
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #3
Due:
1. Tensile tests of structural steel indicate that it fails when the axial tensile strain is
1800 . Determine the maximum change
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #8
Due: 11/7 (daytime sections) or 11/13 (evening section)
1. A beam is loaded and supported as shown below. Determine the reactions at
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #7
Due: 10/31 (daytime sections) or 11/6 (evening section)
1. Locate the centroid of the shaded area shown below.
y
3 in 2 in 3 in
8 in
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #6
Due: 10/17 (daytime sections) or 10/23 (evening section)
1. Replace the 40 lb force exerted on the wrench shown below with an equival
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #9
Due: 11/19 (daytime sections) or 11/27 (evening section)
1. Use the method of joints to determine the force in each member of the tru
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #10
Due: 11/28 (daytime sections) or 12/4 (evening section)
1. The coecient of static friction between the block and the incline shown b
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #5
Due: 10/10 (daytime sections) or 10/16 (evening section)
1. Two forces are applied to point C on the truss structure shown below. Det
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #7
Due: 10/31 (daytime sections) or 11/6 (evening section)
1. Locate the centroid of the shaded area shown below.
y
3 in 2 in 3 in
8 in
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #10
Due: 11/28 (daytime sections) or 12/4 (evening section)
1. The coe cient of static friction between the block and the incline shown
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #2
Due: 9/12(daytime sections) or 9/11(evening section)
1. Four forces act on a particle as shown below. Determine the magnitudes of for
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #8
Due: 11/7 (daytime sections) or 11/13 (evening section)
1. A beam is loaded and supported as shown below. Determine the reactions at
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #11
Due: 12/5 (daytime sections) or 12/7 (evening section)
1. For the steel shaft shown below,
(a) Determine the torques transmitted by
ENGR0135 - Statics and Mechanics of Materials 1 (2131)
Homework #4
Due: 10/3 (daytime sections) or 10/2 (evening section)
1. The assembly shown below consists of a steel (Es = 200 GPa and As = 1400 mm
17
Energy methods
17.1
Introduction
Energy methods are very useful for analysing structures, especially for those that are statically
indeterminate. This chapter introduces the principle of virtual wo
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #5
Solution Set
1. (a) The perpendicular distances from line of action of the 3.5 kN force to the points
A and B are the same, dA = dB =
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #6
Solution Set
1. The moment of the 40 lb force about point A is
MA = (40 lb)(5 in) = 200 lb in
Thus, the equivalent force-couple syste
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #7
Solution Set
1. The shaded area can be divided into component areas in a number of dierent ways.
For example, it could be divided int
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #8
Solution Set
1. One should begin by drawing a free-body diagram for the beam, as shown below. There
are horizontal and vertical react
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #10
Solution Set
1. The free-body diagrams for the block at impending downhill and uphill slip are shown
below on the left and right, re
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #11
Solution Set
1. (a) The torques transmitted by cross sections in intervals AB, BC, CD, and DE are
TAB = 25 kipft ,
TBC = 75 kipft ,
18
Buckling of columns and beams
18.1
Introduction
In all the problems treated in preceding chapters, we were concerned with the small strains and
distortions of a stressed material. In certain types
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #4
Solution Set
1. Note rst that the cross-sectional areas are
As = (1400 mm2 )(103 m/mm)2 = 1.4 103 m2
Ab = (2100 mm2 )(103 m/mm)2 = 2.
ENGR0135 - Statics and Mechanics of Materials 1 (2151)
Homework #3
Solution Set
1. The diameter of the steel rod is not required for this problem. Since the axial strain
is = /L, where is the change i
6
Thin shells under internal pressure
6.1
Thin cylindrical shell of circular cross-section
A problem in which combined stresses are present is that of a cylindrical shell under internal
pressure. Supp
21
Thick circular cylinders, discs
and spheres
21.I
Introduction
Thin shell theory is satisfactory when the thickness of the shell divided by its radius is less than
1/30. When the thickness: radius r
9
Longitudinal stresses in beams
9.1
Introduction
We have seen that when a straight beam carries lateral loads the actions over any cross-section of
the beam comprise a bending moment and shearing for
ENGR 0135 Statics and Mechanics of Materials
Final Exam
April 23, 2002
Answer Five (5) Problems
Problem 1
A 3 in.-diameter by 80 in.-long aluminum alloy (E=10,600 ksi and =12.5 x 10-6/oF) bar
is stres
ENGR0135 - Statics and Mechanics of Materials 1
Fall 2009 (2101)
Final Exam
Answer Five (5) Questions
(Materials Properties are listed in the last page)
r
ENGR 0135 Final Exam (2101)
1.
Rod A is made
ENGR 0135 Statics and Mechanics of Materials I
Fall 2001
Final Exam
December 10, 2001
Answer Five (5) Questions ENGR 0135 Final Exam December 10, 2001
Problem #1 (20 Points)
The brass rod AB (E, = 1
ENGR 0135
Chapter 5 -1
Moments
Department of Mechanical
Engineering
Concept of moment
Introduction
to moment
Moment about a point
Moment about a line
Couples
Some examples
Department of Mechanica
Exam 3
ENGR 0135 Statics and Mechanics of materials
Name
11/14/2001
Score:
Problem 1. (30%)
A beam is loaded and supported as shown in the Figure. The beam has a uniform cross
section and a mass of 10