Unit 2- Stresses in Beams
Topics Covered
Lecture -1 Review of shear force and bending
moment diagram
Lecture -2 Bending stresses in beams
Lecture -3 Shear stresses in beams
Lecture -4- Deflection in beams
Lecture -5 Torsion in solid and hollow shafts

Topic 5: Determinacy and Special Conditions
In the previous lecture the general rules for equilibrium were considered. Here these rules are
applied to specific cases.
(Recall Fx = 0, Fy = 0, M = 0)
Case 1: Two forces on a body
Where there are two forces o

Permanent actions and
imposed actions
Required reading
AS1170.0
AS1170.1
AS4100 Supp Section 3
If you log in university computers, you can
access e-copies of these AS/NZS standards
at
http:/www.saiglobal.com/online/autologin.asp
Lecture outline
Permane

MECHANICS OF SOLIDS - BEAMS
TUTORIAL 3
THE DEFLECTION OF BEAMS
This tutorial covers elements of the following syllabi.
o Essential for Edexcel HNC Mechanical Principles outcome 2.
o Parts of the Engineering Council exam subject D209 Mechanics of
Solids.
o

Moments of Inertia
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Moment of Inertia of Areas
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!
!
!
!
!
Second Moment, or Moment of Inertia, of an
Area
Parallel-Axis Theorem
Radius of Gyration of an Area
Determination of the Moment of Inertia of an
Area by Integration
Moments of Inertia of Composit

Unit 2- Stresses in Beams
Topics Covered
Lecture -1 Review of shear force and bending
moment diagram
Lecture -2 Bending stresses in beams
Lecture -3 Shear stresses in beams
Lecture -4- Deflection in beams
Lecture -5 Torsion in solid and hollow shafts

13. Centroids and Moment of Inertia
Besides forces and moments, it is necessary to know the geometrical and crosssectional properties of the structural elements that are used in construction. The
properties that we will be discussing are:
1. Centroids
2.

Topic 1: Introduction
Engineering is the application of science to derive design solutions to problems. In general,
the engineering problem can be phrased as:
Capacity must exceed demand
The analysis process is aimed at establishing the demand, and the de

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Topic 9: Distributed Loads
Loads may generally be considered as either point loads or distributed loads. The intensity
(load per unit length) of distributed loads may be any shape, but are typically uniformly
distributed such as self-weight, or linearly v