Chapter 2 Concepts of Stress and Strain
Analysis of stress and strain is to understand how a body supports applied loads and the
associated changes in geometry (deformation).
2.1 Definition of Stress
Stress (normal stress, , or shear stress, ) is a measur

Chapter 5 Symmetric Bending of Beams (I) Stresses
5.1 Definition of Beams
Beam is a slender component which supports transverse loads and its cross sectional dimensions
are small compared to the length.
Types of loads on beams are described below.
(1) Con

PASS MOCK EXAM FOR PRACTICE ONLY
Course:
MAAE 2202-Solids I
Facilitator: Ethan Stevens
Dates and locations of mock exam take-up: Feb 9th, 2:00 PM to 5:00 PM @ MC-5050
IMPORTANT:
It is most beneficial to you to write this mock midterm UNDER EXAM CONDITIONS

MAAE 2202 Mechanics of Materials I
General Laboratory Log Book Record Requirements and Recommendations
1.
All pages should be numbered.
2.
The title page should contain the following information:
Date when experiment was performed
Name and student number

Department of Mechanical and Aerospace Engineering
CARLETON UNIVERSITY
MAAE 2300 Fluid Mechanics I
SAMPLE MIDTERM EXAMINATIONS - ANSWERS
Note that depending on the calendar and the date that the Midterm Examination is written, the material
covered can var

CARLETON UNIVERSITY
Department of Mechanical and Aerospace Engineering
MAAE 2300
Fluid Mechanics I
COURSE MANUAL
S.A. Sjolander
September 2012
CARLETON UNIVERSITY
Department of Mechanical and Aerospace Engineering
MAAE 2300
Fluid Mechanics I
COURSE MANUAL

Exercises
(Solutions are available in the Problem Analysis session from TAs.)
Chapter 1
Question 1.1 (Reference Book 1.6)
A maintenance cradle in a factory is supported by the pulley system in Figure 1.1. A fitter
weighing 82 kg can be raised by (1) by pu

Example 1.3: Slipping Ladder
A 6.5m long ladder weighing 200N rests with its upper
end on a smooth vertical wall and lower end on a rough
surface 2.5 m from the wall.
A
How high can a 600N man climb before the ladder slips?
L=
B
6.
5
m
wL
2.5 m
wm
h
s = 0

Example 2.5: Built-in Bar with Temperature
A solid uniform brass bar (L = 100mm, d = 15mm)
just fits between two rigid smooth surfaces at room
temperature. If temperature rises by 30oC, find the
induced stress and change in diameter.

Example 6.7: Deflection of a Built-in Point Loaded Beam
Find the reaction forces and moments at the supports for the
following beam (flexural rigidity = EI) using Macaulay's step
functions

Example 6.10: Deflection of Stacked Timber Beams
Two timber beams are stacked on top of eachother, seperated by rigid blocks at A, B, and C as shown below.
Find the central deflection of the stacked beams due to the distributed load. Both beams are made o

Example 1.4: Friction between coaxial discs
Given two coaxial discs pressed togeter by an axial force F:
Find the maximum torque T which can be transmitted frome one plate to the
other by friction contact
T
F
F
T

Example 5.7: Combined Bending and Tension
The screw clamp below generates a combined
bending-tension stress field at section x-x. Plot the
resultant normal stress distribution at section x-x in
terms of clamping force F

Example 2.1
Take 5 minutes and try to solve the following question
AB = 2000 mm2
AR = 1000 mm2
100kN
100kN
Pin diam. 25 mm
For the coupling shown, find:
- Average normal stress in the rod
- Average normal stress in the rod
- Average shear stress in the pi

Example 1.1: Simple Jointed Truss
y
x
1.5m
A
B
1 kN
2m
For the given truss and loading, determine
the internal reaction forces of each of the
truss members:
= 53.13
C

MAAE 2202: Solid Mechanics I
Example Manual
Solution
Example 5.4: Freight Car Axle
Freight-car axle AB has a diameter d = 80 mm. Load P = 8.9kN is transmitted into the axle as shown
below. The axle is supported by two wheels with a spacing L = 1.45 m. The

Question 1
A cantilever beam having a hollow circular cross section is subjected to the loads shown in the
figure below.
(1) Draw shear force and bending moment diagrams for the beam.
(2) Find the maximum bending stress of the beam.
R80 mm
R40 mm
z
y
Beam

Question 1
A cantilever beams end rests on the middle of a simply supported beam, as shown in the
figure below. Both beams have length L and bending rigidity EI. Determine the
deflection of point A in terms of w, L, E and I.
w
A
Solution:
For a cantilever

MECHANICS OF SOLIDS I
CIVE 2200 - Lecture Notes
Lecture 4: Axially Loaded Members
Chapter 4 (4.1-4.3, 4.6-4.7)
Carleton University
Department of Civil and Environmental Engineering
Elastic Deformation of Axially Loaded Members
Total change in length:
L
(

PASS MOCK EXAM
FOR PRACTICE ONLY
Course: MAAE 2202
Facilitator: Brandon Kerr
Date and location of mock exam take-up: Thursday, April 9, 2015 from 2:00 pm to 5:00 pm in ME 3380
It is most beneficial to you to write this mock final UNDER EXAM CONDITIONS.

MAAE 2202 Mechanics of Solids I
Nathanial Grant, Dec. 9, 16
Student # 101011748
Experiment B: Torsion of a hollow circular shaft
Objectives:
- To verify the simple torsional formula for the shear stress in hollow circular
shafts.
- To calculate the torsio

Chapter 1 Review of Statics and Friction Problems
1.1 Concepts of Solid Mechanics
Structural and solid-body mechanics are concerned with analyzing the effects of applied loads.
These are external to the material of the structure or body and result in inte