MEC2025F Mechanics of Solids
Test 1 13 March 2015 22 marks 45 minutes
1. Multiple Choice Questions. Circle the letter corresponding to the correct answer. (2 marks)
1.1 Suppose you have a stress in the y—direction what is the correct form of Poisson’s R
Corrected
MEC2025F: Mechanics of Solids I
Test 5
16 March 2016
10 marks
0
1
2
3
4
5
6
7
8
9
20 minutes
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MEC2025F Mechanics of Solids
Tutorial 7: Bending Deflection
Solutions
See the recommended reading list in course outline for the sources of the problems.
1
Bending Deflection
M0 x 2
2EI
M0 L 2
(b) Deflection at free end vB =
2EI
M0 L
dv
= B =
(c)
dx B
MEC2025F Mechanics of Solids
Tutorial 3
3 March 2016
See the recommended reading list in course outline for the sources of the problems.
1
Mechanical Properties
1. The hollow tube is subjected to an axial
force of 40 kN. If the tube elongates 3 mm
and its
MEC2025F Mechanics of Solids
Tutorial 8: Bending Deflection
20 April 2016
See the recommended reading list in course outline for the sources of the problems.
1
Bending Deflection
1. A simply supported 10 m beam has the loading
and dimensions shown. Determ
MEC2025F Mechanics of Solids
Tutorial 1 2015
Review of Statics
See the recommended reading list in the Course Outline for the sources of the problems.
1
Review of Statics
1. Determine the resultant internal normal force
acting on the cross section through
MEC2025F Mechanics of Solids
Tutorial 6: Bending Stress Solutions
6 April 2016
1
Bending Stress
1. Use calculus to maximise the either use
pythagoras or use trigonometric angles to
solve for one variable.
3d
6d
b=
,h=
6
3
d
L
= 0 at x =
dx
4
max
x=
=2
B
6
MEC2025F Mechanics of Solids
Tutorial 3-Solutions
3 March 2016
See the recommended reading list in course outline for the sources of the problems.
1
Mechanical Properties
1. = 226.35 MPa
= 0.01 rad
longitudinal =3333
G = 5 GPa
E = 67.9 GPa
3. x = 1.53 m
MEC2025F Mechanics of Solids
Tutorial 6: Bending Stresses
6 April 2016
See the recommended reading list in the course outline for the sources of the problems.
1
Bending Stress
1. A sawmill cuts rectangular timber beams from
circular logs. If two beams of
MEC2025F Mechanics of Solids
Tutorial 2 2015
Solutions and Errata
See the recommended reading list in course outline for the sources of the problems. All errors and
additions are given in red
1
Introduction and Definitions
1. Define the following:
shown;
MEC2025F Mechanics of Solids
Tutorial 4
09 March 2016
See the recommended reading list in course outline for the sources of the problems.
1
Shearing Force and Bending Moments
For all structures that follow determine the support reactions and draw the comp
MEC2025F Mechanics of Solids
Tutorial 5: Bending
16 March 2016
See the recommended reading list in the course outline for the sources of the problems.
1
Shear Force and Bending Moments
1. The shear-force diagram for a simply supported beam is shown in the
Test 2
Surname: F k B V
1. Multiple Choice Questions. Circle the letter corresponding to the correct answer.
MECBOZIBF Mechanics of Solids
17 April 2015 20 marks 45 minutes
it"; Sq - a a d a r @TiEEi-KISI A o
(2 marks)
1.1 The slope and deflection at
Guest Comment: Only the student knows
“STUDENTS!
“We have a problem that only you can help us with. We have been
writing this textbook, off and on, for twenty-five years. Over that time we
have become accustomed to relativity and can no longer see what is
MEC2025F Mechanics of Solids
Test 3 8 May 2015 20 marks 45 minutes
5 a ~ a a d a t EH
1. Multiple Choice Questions, Circle the letter corresponding to the correct answer. (2 marks)
1.1 For torque applied to a sleeve rigidly connected to the outside o
MEC2025F Mechanics of Solids
Tutorial 5: Bending
16 March 2016
1
Shear Force and Bending Moments
1.
2.
2
Bending Stress
3. max =
Eh
2r + h
(a) Left of B max = 11.9 MPa
(b) Right of B Mb = 6 106 N.mm,
max = 35.8 MPa
4. 525 mm
5. Centroid or na is 43.8 mm f
MEC2025F Mechanics of Solids
Tutorial 1 Solutions 2015
Review of Statics
See the recommended reading list in course outline for the sources of the problems.
1
Review of Statics
1. Determine the resultant internal normal force
acting on the cross section t
MEC2025F Mechanics of Solids
Tutorial 2 2015
Introduction, Stress and Strain
See the recommended reading list in course outline for the sources of the problems.
1
Introduction and Definitions
1. Define the following:
wooden chopsticks, metal spoon, cold r
MEC2025F Mechanics of Solids
Tutorial 7: Bending Deflection
13 April 2016
See the recommended reading list in course outline for the sources of the problems.
1
Bending Deflection
1. For the loading shown determine (a) the equation
of the elastic curve for
Population Estimation for Local Municipalities in South Africa
Diego Iturralde, Louis van Tonder, and Chantal Munthree
Demography Division, Statistics SA
Introduction
Internationally, the Mid-year population estimates are designed to provide population an
