Calculate the moment of inertia about the y axis. State the method of
integration used and label the diagram accordingly.
Determine the moment of inertia for the shaded area about the x axis. State the method of
integration used and label the diagram acco
Determine the moment of inertia for the shaded area about the x axis. State the method of
integration used and label the diagram accordingly.
Determine the moment of inertia for the shaded area about the x axis. State the method of
integration used and la
Determine the moments of inertia for the shaded area about the x and y axes.
Determine the location of y bar of the centroid of the beams cross-sectional area. Compute
the moment of inertia about the centroidal axis, x prime. Note that y bar is measured f
Determine the moment of the force F about point P. Express the answer as a Cartesian
Vector.
Determine the resultant moment that the two forces create about point O. Express the answer
in Cartesian Vector Form.
Determine the internal shear force, bending moment, and normal force at point C.
Determine the normal force, shear force, and moment at a section passing through point D.
Take w equal to 300 N/m.
Determine the moment produced by force F about segment AB of the pipe assembly. Express
the result as a Cartesian vector.
If F=250 N, determine the magnitude of the moment produced by this force about the x axis.
Replace the loading system with an equivalent resultant force and specify its location measured
from A.
Replace the loading by an equivalent resultant force and couple moment acting at point O.
The member is supported by a pin at A and cable BC. If the weight of the cylinder is 350 lb,
determine the components of reaction.
Determine the components of reaction at the fixed wall A. The 150 N force is parallel to the z
axis and the 200 N force is p
Replace the loading with an equivalent force and specify where this force intersects the
centerline of the beam, measured from point O. The overall thickness of the beam is 0.4m,
0.2m from the centerline to the top of the beam where the force is applied.
Determine the moment of the force F about point P. Express the answer as a Cartesian
Vector.
Determine the resultant moment that the two forces create about point O. Express the answer
in Cartesian Vector Form.
Express the moment due to the couple force system in Cartesian form. The forces are in the zdirection. What is the magnitude of this moment?
If d equals 4.25 feet, determine the resultant couple moment.
Locate the centroid of the cross section of the composite body (x bar, y bar) using tabular form.
Locate y bar of the cross section of the composite body using tabular form. Note that the x axis
is located at the bottom of the beam.
Determine the directional sense and the magnitude of the resultant moment about the origin
by scalar analysis and vector analysis.
Two men exert forces F=80 lb and P=50 lb on the ropes. Determine the moment of each force about A.
Which way will the pole r
Determine the moment produced by force F about segment AB of the pipe assembly. Express
the result as a Cartesian vector.
If F=250 N, determine the magnitude of the moment produced by this force about the x axis.
Determine the force in each member of the truss by method of joints and state if it is in tension
or compression.
Determine the force in each member of the truss by method of joints and state if it is in tension
or compression. Hint: is solving for the re
Determine the magnitudes of the unknown forces F1, F2, and F3 for equilibrium. F1 lies in the
x-z plane, F2 lies in the x-y plane, and the 8.5 KN force is in the x-y plane.
Determine the force in cables DA, DB, and DC if the bucket weighs 20 pounds.
Draw the shear and moment diagrams using the graphical method. The frame is made up of
two members, AB and BC which are pinned together at B with an internal hinge. Point A is a
roller and C is a fixed support. Ignore labels D and E.
Draw the shear and mo
Determine the force in members BC, BE, EF and BF and state if they are in tension or
compression.
Determine the force in members BC, BH, and IH and state if they are in tension or compression.
Determine the tension developed in each wire used to support the 35 lb chandelier.
Determine the tension developed in each rope used to support the 75 kg cylinder.
Determine the magnitude of F and the direction angle theta so that the particle is in
equilibrium.
The truss members shown are pin connected at point O. Find the values of F1 and F2 so that
the system is in equilibrium. Set theta equal to 60.
A compound beam (frame) is made up of two members, AC and CB which are pin connected at
C. Determine the external support reactions at the fixed support A and the rocker at B.
Determine the external support reactions for the compound beam for the roller a
CHAPTER 2
ENERGY AND THE FIRST LAW OF
THERMODYNAMICS
The objectives of this chapter are to:
Introduce the concept of energy and
define its various forms.
Develop some of the relationships for
work and heat transfer needed to apply
the principle of conse
CHAPTER 1
INTRODUCTORY
CONCEPTS AND DEFINITIONS
Thermodynamics: the science of energy.
Energy: the ability to cause changes.
The name thermodynamics stems from the Greek
words therme (heat) and dynamis (power).
The objective of this chapter is to explain
SUMMARY OF KEY EQUATIONS IN CHAPTER 1
Specific Volume (mass basis):
v = 1/ = V/m
Specific Volume (mole basis):
= Mv
and M = m/n
Eq. (1.8)
Eq. (1.9)
where M = molecular weight (kg/kmol or lb/lbmol), see Tables
A-1 & A-1E for values of M
n = number of moles
SUMMARY OF KEY EQUATIONS IN CHAPTER 2
Kinetic Energy:
= m(
Potential Energy:
)
= mg (
Internal Energy:
U = m (u2
Total Energy:
E = U + KE + PE
)
Eq.(2.5)
Eq.(2.10)
u 1)
Eq. (2.27b)
Expansion or compression work: W =
Energy balance for closed systems: E =
For a force of 230 lb, determine the magnitude of the moment created about the line defined
from C to D.
Determine the moment produced by force F about segment AB of the pipe assembly. Express
the result as a Cartesian vector.
Express the moment due to the couple forces in Cartesian form. What is the magnitude of this
moment?
If d equals 4.25 feet, determine the resultant moment due to the two couple force systems.
The Force F=cfw_700i+350j-700k N acts act point B. Determine the moment of the force about
point A.
Determine the moment that the two forces create about point O. Express the answer in
Cartesian Vector Form.