CIV100F (Section 8) - Mechanics
Tutorial #5 - Solutions
PROBLEM #1
The spring of modulus k = 3.5 kN/m is loaded by a tension force of 35 N when the
disc centre o is in the leftmost position (at x = 0). Determine the tension T required
to position the disc

QUIZ # 1
CIV100- MECHANICS 2009-2010
DEPT. OF CIVIL ENGINEERING, UNIVERSITY OF TORONTO
Rules: Draw a FBD for each problem; Use 5 Significant digits (two decimal points for angles); Always Express vectors in i, j, k terms.
Name:
Student ID:
1.The shown pul

CIV100F (Section 8) - Mechanics
Tutorial #5
Date:
Due:
Monday, October 19, 2015
6:00-6:30pm in GB330 on Thursday, October 22, 2015
1. The spring of modulus k = 3.5 kN/m is loaded
by a tension force of 35 N when the disc
centre o is in the leftmost positio

ASSIGNMENT # 2
CIV100- MECHANICS 2010-2011
DEPT. OF CIVIL ENGINEERING, UNIVERSITY OF TORONTO
Rules: Draw a FBD for each problem; Use 3 Significant digits (two decimal points for angles); Always Express vectors in i, j, k terms.
Question 1
A force and a co

Module Objective
By the end of this Module you should be able to:
CIV100 Mechanics
Module 2: Force and Moment in 3D
Understand the concept of vector in 3D.
Determine the addition and product of two or more 3D forces.
Understand the concept of couple and

CIV-100F
Section B/E
Solutions
Fall 2011
Assignment 3
Due on Monday, October 3rd 2011
1- Force Q (Q=90kN) acts along a line which passes through H(2,2,5) and L(6,5,-2). Force is in
direction H L , determine vector Q as a Cartesian vector.
Solution:
H = (2

Civ101
TERM QUIZ 1: (DUE 14:10 ON FRIDAY, SEPT. 30TH IN CLASS)
Assignments
CIV101- STRUCTURES, MATERIALS AND DESIGN, SECTION K (10), 2005-2006
Name:
DEPT. OF CIVIL ENGINEERING, UNIVERSITY OF TORONTO
Student Number:
.
Rules: Draw a FBD for each problem (Yo

CIV-100
Section B/E
Assignments
Fall 2011
Assignment 8
Due on Monday, November 14th 2011
1- A gate in a salt-water canal is hinged at A as
shown, and held closed by the pin-connected
assembly CDE. The canal is 3.2m wide and the
density of the salt water i

CIV-100F
Section B/E
Solutions
Fall 2011
Assignment 1
Due on Monday, September 19th 2011
1- For the 160 kN force shown, determine its
components with respect to the following axis:
(a) x y
(b) x y
(c) e f
For (a) and (b), determine the solution
algebraica

CIV-100F
Section B/E
Solutions
Fall 2011
Assignment 9
Due on Monday, November 21st 2011
1- A 0.8m by 0.8m gate AB is located at the
bottom of a tank filled with water. The gate is
hinged along its top edge A and rests on a
frictionless stop at B. The dens

Question 4
The structure ABCD is separating mud from
water as shown. It is supported by a pin (hinge)
at B and a cable at D. Cables are spaced at 2 m
(into the paper). The tension in each cable is
3
100 kN.

September 2014
UNIVERSITY OF TORONTO
Department of Civil Engineering
Course Information
CIV100F MECHANICS (Section 8)
Lecturer:
Professor J.A. Packer
Office: GB236
E-mail: [email protected]
Tel: 416-978-4776
Lectures:
Monday
Wednesday
Thursday
2:

Question 4
The suspended mass m1=50 kg. The pulleys A, B, and C each
have a mass of 2 kg. What mass m2 is necessary for the system
to be in equilibrium?
Solution
We will need multiple FBDs to solve this
problem. When considering problems of this
nature, i

Question 5
A force and a couple are applied to a beam.
(a) Replace this system with a single force F applied at point G, and determine the distance d.
(b) Solve part a assuming that the direction of the two 600 N forces are reversed.
Solution
F
(a) Fy :
+

Question 12
The shear leg derrick ABC is used to haul the
250kg net of fish onto the dock. Assume the force
in each leg acts along its axis. Note that cable DB
and the vertical cable are fixed at B. They are not
continuous, and there is no pulley at B. De

TERM ASSIGNMENTS
CIV100- MECHANICS
DEPT. OF CIVIL ENGINEERING, UNIVERSITY OF TORONTO
Rules: Draw a FBD for each problem; Use 3 Significant digits (two decimal points for angles); Always Express vectors in i, j, k terms.
1. For the 160 KN force shown on th

ASSIGNMENT # 6
Solution
CIV100- MECHANICS
DEPT. OF CIVIL ENGINEERING, UNIVERSITY OF TORONTO
Question 15
First, we cut the truss through members CB, and EF. The F.B.D. is
as shown, we have:
-1
+
M
E
0:
-60 2 FCB 1 0
+
M
D
= 0:
120 2 + FEB sin 26.5 2 - FE

TUTORIAL # 1
SOLUTIONS
PROBLEM #1
1. In Figure 1, at what angle q should the force F be directed so that the magnitude of its
component in the direction of CA is 60% of the magnitude of its component in the
direction BC. Use both graphical and trigonometr

CIV100F (Section 6) - Mechanics
Tutorial #3 - SOLUTIONS
1. The 20-kg mass is suspended at A by three
Cables AB, AC, and AD that are attached to
three vertical 2-m posts, as shown. Determine
the tensions in cables AB, AC, and AD for
equilibrium.
TAC
TAD
T

TUTORIAL # 4
SOLUTIONS
PROBLEM #1
Determine the direction (0 180 ) of the force F = 200N, so that it produces
a. the maximum moment about point A and
b. the minimum moment about point
Compute the moment in each case.
The maximum occurs when the force is p

CIV100F (Section 6) Mechanics
Tutorial #6
Date:
1.
Monday, October 24, 2011
The bent beam is supported by a pin at A and roller at B. For the given loading,
a) Draw a free body diagram of the beam showing all forces
b) Calculate the support reactions at A

This part is unnecesary. It is clear from the FBD that
no force is applied to create MAZ. Therefore, without
goint through this step, one can conclude MAZ=0

Page 2 of 10
Question #1 (10 gointsl
[2 point]
1 - List all zero force members.
Zeroforcemembersare: AB / BC) 1H lg, / ab / b
2 - Determine the force in members IC, 6], and CG of the truss and state if these members are in tension or compression.
[4

CIV100 - SECTION 3-GB - MECHANICS QUIZ #1 1 HOUR SEPTEMBER 29, 2016
READ CAREFULLY THE RULES:
No aids are permitted.
Only one of the three specified non-programmable calculators are permitted:
- CasioFX991
- SharpEL520
Answers must include the appropriate

CIV100F/APS160F Mechanics: Final Exam 2015
Question 1
The rigid frame ABCEFGH is supported by ball-and-socket supports at A and E. The support at A has been
modified to allow free movement along the z-axis. A cable is also attached between C and D. P