The Force F=cfw_800i+400j-800kN acts act point B. Determine the moment of the force about
point A.
Determine the moment of the force F about point P. Express the answer as a Cartesian vector.

Determine the external support reactions at A, E, and D for the frame. The weight of the
suspended cylinder is 5 kips.
Determine the support reactions at the fixed support at A and the rockers at B and C for the
compound beam shown.

Example #1: Calculate the support reactions at B and E for the frame
shown with hinged joints at B, C, and E. The pulley in
the frame has a radius of 1.25 inches.
Example #2: Draw & label shear & moment diagrams for the loaded
beam shown. Vertical support

Problem 1
The refrigerator has a weight of 210 lbs and rests on a floor with a coefficient of
friction of s = 0.25. Determine the smallest force required for impending motion.
Problem 2
The coefficient of friction between the wedge and the other surfaces

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.

Derive the equations for the load regions and plot the shear and bending moment diagrams .
Derive the equations for the load regions and plot the shear and bending moment diagrams .

Determine the projected component of the force acting along the axis AB of the pipe .
Cable OA is used to support the column OB. Determine the angle it makes with the beam OC
(theta).

Determine the magnitude of the lateral force acting on the dam and its location (measured
from the top of the surface of the water). The width of the dam is 8 m .
8 ft
If the concrete dam is constructed of normal weight concrete (150 pcf) and the specific

Determine the moment of inertia for the shaded area 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 la

Problem 1
Determine the moment of inertia for the shaded area about the x axis. State the method of
integration used and label the diagram accordingly.
Problem 2
Determine the moment of inertia for the shaded area about the x axis. State the method of
int

Determine the tension developed in each wire used to support the 35 lb chandelier.
341.
B
Determine the forces in cables AC and AB needed to hold
the 20-kg ball D in equilibrium. Take F = 300 N and d = 1 m.
1.5 m
C
d
A
SOLUTION
F
2m
b - FAC a
b = 0
241
25

Determine the force in members CD, CF, and CG and state if in tension or compression.
Determine the force in members AB, BF, and EF and state if in tension or compression. d=8 ft
and P=250 lbs.

Determine the force in each member of the truss below and state if it is tension or
compression. Set P1=100 lb, P2=225 lb and P3=350 lb.
Determine the force in each member of the truss and state if it is in tension or compression.
Hint: is solving for the

The curved rod has a radius of 5ft. If a force of 60lb acts at its end as shown, determine the
moment of this force about point C.
Determine the moment of the force F at A about point P. Express the answer as a Cartesian
vector.

Determine the magnitude of the moment, caused by the 20lb force that chain AB exerts on the
door at B, along the hinged axis x of the door.
Given the force F = cfw_50i-20j-80k N, determine the magnitude of the moment about the base
line CB.

Problem 1
Determine the moment of inertia for the shaded area about the y axis. State the method of
integration used and label the diagram accordingly.
Problem 2
Determine the moment of inertia for the shaded area about the x axis. State the method of
int

AB is supported by a ball-and-socket joint at A and a pulley and cord system. Determine the
components of reaction at A and the tension in the cable DEC if F=cfw_-1500k lb.
The member is supported by a pin at A and cable BC. If the weight of the cylinder

If theta equal 60 degrees, determine the magnitude of the resultant of the forces and its
direction measured clockwise from the positive x axis.
Determine the magnitude of the resultant force and its direction, measured counterclockwise
from the positive

6.5: Space Trusses
Space trusses consist of stable 3-D elements, known as
tetrahedrons (6 members):
Assumptions - Same as for 2-D:
1) Consists of two-force members
2) Member ends are pinned
3) Forces applied at joints only
4) Weight of mbrs is negligible

Example #1: Determine axial force in mbrs EF, EM, EN, LM & LP
indicating (T or C) as well as all zero-force mbrs.
Example #2: Determine axial force in members BC, BI, CI & HI
indicating (T or C) as well as all zero-force members.

Example #1: For the loaded machine frame shown, calculate support
reactions & indicate direction
Example #2: The compound beam shown is fixed at A, has a rocker
support at B & is hinged at C. Find support reactions &
indicate direction.

Example #1: Locate the centroid (x, y) of the shaded area.
Example #2: Locate the centroid x of the shaded area.
Example #3: Locate centroidal x distance for the shaded area.

Procedures for Analysis:
1) Isolate each part of the frame or machine:
Draw outline shape
Show all applied forces & moments (known, unknown)
Label all applied forces & moments (known, unknown)
Label dimensions
2) Identify all 2-force members.
3) Force

Example #1: The factor of safety for tipping of the concrete dam is
defined as the ratio of the stabilizing moment about O
due to the dams weight divided by the overturning
moment about O due to the water pressure. Determine
factor if concrete has specifi

Example #1: Determine forces in members BD, CD and CE, and
indicate (T) or (C).
Example #2: Determine axial force in members DE, DJ, DK & IJ,
indicating (T) or (C), and list all zero-force members.
Example #3: Determine axial force in members AB, AG & FG

Avg fv
c
c
Procedures to solve for stresses:
Draw FBD and solve for support reactions
Draw Shear & Moment Diagrams
Determine max. axial, shear force & max. moment
Determine centroid location of structural section
Determine distance to extreme fiber,

6.1: Simple Trusses
Simple trusses have the following assumptions:
1. All members are two-force members.
2. All connections (joints) are pinned (no moment).
3. All loads applied at the joints.
4. Weight of truss members is negligible.
Procedure for analys

3] Determine the magnitude ef the mement ef the feree F aheut a line defined from CI
to A. The feree hae eeerdinate direetien anglee etc: =EE|I [3: 120. and "t = 45:
.F=_3lb
M=190.91bin
4) Determine the resultant feree and where it intersects the eenter

Name: CWiD #: Section Number:
ENSC 2113 - FALL 2009 - EXAM #1
EACH PROBLEM IS WORTH 25 POINTS. WRITE YOUR ANSWERS IN THE SPACES
PROVIDED. WITH PROPER UNITS, WHERE APPLFCABLE. CALCULATIONS MUST BE
SHOWN THAT SUPPORT THE ANSWER TO RECEIVE CREDIT.
1) A 500 l

2) Determine the magnitude of the moment of the force about a line dened from A to
B. All lengths are given in meters.
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