STR5
For study of stress distribution across the section of a beam

Bending Stress in a Beam

Screenshot of the optionalnt Structures Software

Shown with the Digital Force Display and fitted to a Structures Test Frame (both supplied separately)

• High-quality structures teaching module for students of mechanical, civil and structural engineering • Allows safe and practical experiments into bending stress in a beam • Realistic and verifiable experiment results • Optional TecQuipment’s Structures Software package for extra ‘virtual’ experiments that simulate and confirm the results from your hardware and allow extended experiments • Optional STR2000 unit including TecQuipment’s Structures Software package for automatic data acquisition and virtual experiments • One of many interchangeable experiment modules from TecQuipment’s modern, flexible and costeffective Structures teaching system • Ideal for classroom demonstrations, or students working in pairs or small groups

• • •

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STRUCTURES
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STR5
Description
The experiment hardware is a T-beam that fits onto a Structures Test Frame (STR1, available separately). Students adjust a load cell that bends the beam and, when connected to the optional Digital Force Display (STR1a, available separately), it measures the bending force (load). Strain gauges and a digital strain bridge measure the strains in the beam. Dummy strain gauges compensate for temperature variation and balance the strain bridges. The equipment includes a lead for connection to the Digital Force Display (STR1a, available separately). The lecturer guide provides details of the equipment including sample experiment results. The student guide describes how to use the equipment and gives experiment...

...Report
Experiment # 3
Bending of Beams
Section # ThTh12
Group # 1
Ömer Ege Çalışkan
Serhat Karakuz
Noyan Uğur Renda
Turgut Soydan
20.03.2013
Abstract
In this experiment, a simply supported beam is used and the variations of deflection of a simply supported beam with load, beam thickness and material are investigated. It is found that the deflection of thebeam changes linearly with the load and as the beam thickness increases, the beam deflection decreases. In addition, since different materials have different modulus of elasticity, deflection of different materials under a specific load is different. Depending on the results of the experiment, it is observed that the measured deflection values under different loads and for different materials overlap the Euler-Bernoulli Beam Theory.
Introduction
Beams can be described as a structural element that withstands load. Although beams are considered mainly as building structural elements, automobile or machine frames also contain beams to support the structure. Some applications require beams to support loads that can bend the beams, therefore it is important to observe the behavior of the beams under bending forces and which parameters...

...Experiment 1 - Static Equilibrium - BEAM
Objective
1. To study the vertical equilibrium of (a) a simply supported beam
2. To determine the reactions of the beams by (a) the experimental set-up and (b) by using the principles of statics and method of consistent deformation
Apparatus
TecQuipment SM 104 Beam Apparatus Mk III
Figure 1
Experimental Procedures
1. Set up the beam AC with a span of 675mm (as shown in Figure 1).
2. Place two hangers equidistant (100mm) from the mid-point of the beam.
3. Unlock the knife-edges of the load cells.
4. Place a dial gauge over the left-hand support A. Adjust the dial gauge to read zero. Move the same dial gauge to the top of support C, and then adjust the height of the knife-edge so that the dial gauge reads zero.
5. Remove the dial gauge.
6. Adjust the load cell indicators at the supports to read zero.
7. Apply loads as shown in Table 1 to the hangers.
8. Record the readings of the load cells in Table 1.
9. Use the calibration charts to obtain the support reactions at A & C, and enter the reactions in Table 1.
Summary of Data
The results of the test are shown below in Table 1. This table shows the reactions at the supports based on the applied load. Noted that both experimental and theoretical results are recorded/calculated. The differences and the percent error of...

...objective of this experiment is to demonstrate the bending of a bean when loaded at the center of its length and examine its deflection when positioned in two different ways, when the flat side of the beam is support and when the thin side is supported. In addition, try to find linear relationship between the load applied and the deflection of the beam and comparing the experimental deflection with the theoretical deflection.
If the load is applied at the mid- length a=b=L/2 then mid span deflection is:
δ = PL3/(48EI).
Where P is the applied force, L is the length of beam, E is the modulus of elasticity of aluminum, and I is the moment of Inertia.
For a beam of rectangular cross section, say of width w and thickness t, the same mid spam deflection of the centrally loaded beam when the flat side is supported, then be compared to that when the thin side is supported. The moment of inertia for the respective situations are given by:
I1 = wt3/12 and I2 = w3t/12
It could be readily verified that the later situation offers less deflection under the same load.
2. Introduction:
In this experiment we tested the deflection of a beam when it is placed with its widest and shortest side of its cross section on the supports. In order to examine the deflection of the beam, we applied the load at the center of its length....

...Abstract:
Finding the most adequate and efficient material to perform a certain function in engineering is such a fundamental concern that prompted scientists to investigate and examine the physical and mechanical properties of materials. This report discussed the property of elastic deformation of beams since it’s commonly used in several engineering fields. To begin with, a brief introduction on elasticity is presented, including some related definition and formulae. Then, a guide line to the experiment was explained and followed by the results obtained from the experiment. The results also included graphs to illustrate the general trend line of the recorded measurements. Next, the results are interpreted and measured up to existing data. Finally, a summary of what has been done and what was concluded is provided along with list of references.
Background:
The study of mechanical properties of materials is an absolute necessity in almost all aspects of engineering especially construction, structural and transportation. The urge to understand the way materials behave when an external force is applied to them has lead to the discovery of some important properties such as elasticity, stiffness, strength and ductility.
Elastic deformation:
The concept of elastic deformation refers to the ability of a material to return to its original shape after the force applied to it is removed. However, at a certain point the...

...Intro: This assignment consists of predictions to theories on measuring and comparing results on deflection on a beam.
Intro: This assignment consists of predictions to theories on measuring and comparing results on deflection on a beam.
Beam Defection Experiment
1) This graph and its table below showed the resultant forces which were achieved when the test on the relationship between deflection (Y) and the spacing achieved (L3) using a load of my choice which was 2.5kg (constant). The scientific instruments used in the lab for this experiment were a digital gauge to measure the final beam deflection and also a hanger to freelance the weight. Beam depth (d) of 0.0063 m. A prediction was made that this beam would indeed prove to be one with a high deflection point due to its depth. Gradient is identical to deflection.
This graph and its table below showed the resultant forces which were achieved when the test on the relationship between deflection (Y) and the spacing achieved (L3) using a load of my choice which was 2.5kg (constant). The scientific instruments used in the lab for this experiment were a digital gauge to measure the final beam deflection and also a hanger to freelance the weight. Beam depth (d) of 0.0063 m. A prediction was made that this beam would indeed prove to be one with a...

...
CIVE 3202 A6E – Mechanics of Solids II (Winter 2013)
Experiment 2: Bending of an aluminum I-beam
Introduction
“Beams are long straight members that are subjected to loads perpendicular to their longitudinal axis and are classified according to the way they are supported”[1]. When a beam is subjected to an external load there are unseen internal forces within thebeam that one must be aware of when implementing it into any design or structure. These internal forces create stress and strain that could result in failure or deformation. This lab looked at how an aluminum cantilevered beam performed under symmetric and unsymmetrical bending as well as the stresses and strains developed as a result.
Objective
“To study the stress and strain induced in an I-beam under symmetric and unsymmetrical bending” [2].
Theory:
σ – Normal stress (Mpa)
ε – Strain (mm/mm)
M – Moment (kN∙m)
I – Moment of inertia (mm^6)
E – Modulus of elasticity (Mpa)
G – Modulus of elasticity (Mpa)
v – Poisson’s ratio.
L – Length (m)
*Subscripts x, y, z indicate plane of reference.
The strain rosettes are orientated so that θb = 0, θc = -45, and θa = 45.
The strain gauge equations then simplify to
εx = εb, εy= εc+ εa- εb, and γxy = εc- εa
Using Hooke’s Law:
σx= εxE, σy= -v σx,...

...
Bending of a Beam
Senior Freshman Engineering Laboratories
Lab: 2E4A
Coordinator: Asst. Prof. Bidisha Ghosh
Demonstrator:
Concept
A transverse load is applied to a beam. The beam changes its shape and experiences bending moment. Internal stresses (bending stress) develop in the beam.
In the bent or curved shape, the material on the inside of the curve experiences compression and material on the outside of the curve experiences tension. In pure bending, the transverse planes in the material remain plane and parallel during bending.
Objectives
1. To measure deflections and strains in a simply supported steel beam.
2. To compare the analytical and experimental values of strains in the beam.
3. To use measured deflections and theory to evaluate the Young’s modulus of the material.
4. To note the source of errors in a typical simply supported beamexperiment.
Theory
Please refer to the beambending lecture notes as provided by Dr A. O’Connor in 2E4 class.
A steel I-beam is subjected to a point load in the middle. The beam is loaded within the elastic limit.
Figure 1: Bending of a BeamBeam deflection :
The deflection, can be computed for general loading...

...Investigation
of
a
beam
in
bending
Gemma
Rutter1
1CEGE
department,
UCL,
London
1.
INTRODUCTION
Beams
are
one
of
the
most
essential
components
of
man
made
structures
and
conducting
experiments
to
observe
how
a
beam
behaves
under
loading
is
crucial
to
understanding
its
key
aspects.
For
example,
aspects
that
could
be
explored
are
the
threshold
stress
and
strain
above
which
a
beam
begins
to
behave
in
an
unsafe
and
unpredictable
manner.
If
extensive
tests
are
carried
out
on
a
beam
of
a
particular
specimen
then
its
behavioral
patterns
can
be
determined
to
a
greater
degree
of
accuracy
i.e.
its
thresholds
can
be
calculated
to
a
greater
degree
of
accuracy.
Using
these
patterns,
buildings
can
be
made
safer
as
the
values
for
the
maximum
stress
and
strain
of
the
beam
are
more
reliable.
Knowledge
of
the
properties
of
the
beam
can
also
be
used
to
minimize
redundancy,
thus
making
buildings...