A rectangular specimen is subjected to a three-point bending test. The specimen is 10 centimeters long, 10 millimeters wide (b) and 10 millimeters tall (h). The specimen is placed on two supports that are 5 cm apart (L), and the actuator is applying a force in the exact middle of the two supports (L/2). Immediately before failure, the Instron records a force (F) of 50N, and a deformation ( ) of 2mm. We need to determine the maximum flexural strength (σ), and Young’s Modulus (E) of the specimen. To accomplish this task, we are going to use the two following equations: (Eq. 1.1 and 1.2)

Where M is the moment (or torque) applied at the middle of the specimen, y is the distance from the center of the specimen to the convex surface, and I is the “polar moment of inertia,” a term used to define how the geometry of the specimen influences its reaction to loads. First, we must calculate the reaction forces at the supports. We have two unknown values, and therefore must use two equations to solve the system. Based on static mechanics, we can use the following two equations: ∑ and ∑ (Eq. 1.4) (Eq. 1.3)

In our case, these equations are as follows: ∑ ∑ Or (Eq. 1.5) Using the (Eq. 1.4), we find: ∑ ( ( ) Solving for (

) (

( ) we find:
)

)

Substituting the value of 25N for

back into (Eq. 1.5), we find:

Therefore

Now that we have solved for the reaction forces at the supports, we can calculate the moment acting at the midpoint of the specimen by looking at half of the specimen and using the following equation: ∑ …in our case…

(Eq. 1.6)

Next we calculate y, the distance from the center of the specimen to the convex surface: (Eq. 1.7) …in our case…

Finally, we must calculate I , the polar moment of inertia, for our rectangular cross-section. The equation for a solid rectangular cross section is: (Eq. 1.8) If we plug in our values, we get:

Now that we have calculated specimen, by using (Eq....

...HITEC UNIVERSITY
ThreePointBendingTest
By
Group#04
Members Name
Usman Rasheed (ME-131)
Sarnad Ali Shah (ME-108)
Farrukh Muhummad Aoun (ME-30)
Shahzaib bakht (ME-84)
Hafiz Abdul Hadi ()ME-32
A PROJECT SUBMITTED
IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE COURSE OF
MECHANICS OF MATERIALS
IN MECHACNICAL ENGINEERING
B.Sc. Mechanical Engineering
HITEC UNIVERSITY
January, 2011
Projector Supervisor’s: Mr....

...headers of the packet. The MPLS header “Shim” contains one or more labels, these are known as label stack, each of these labels are four bytes in size and contain four fields.
Figure 1 – MPLS label structure
Figure 1, above provides a graphical example on how an MPLS label is structure. The “Label” field contains the label value and is 20 bits in size. The Exp field stands for “Experimental Use” is 3 bits in size and it is used to assign the Class of Service (CoS),...

...Chapter Test
Science for Grade 1
Name: ___________________________ Date: _____________
Grade Year/Level : _________________ Teacher : _______________
I. Identification (A) Rearrange the jumbled letters on the right to identify the
parts of the head. Read the given clues. Write the answer inside
the squares.
1. It is on the top of the body.
D E...

...equations are all the mathematics required for this approach, not the partial differential equations or tensor analysis that are typical tools in elasticity.
Types of beam loads
* Uniform
* Varied by length
* Single Single pointpoint
* Combination
5.0 Procedures
1. The apparatus as per diagram.Let L=800mm and initially x=100mm was set up.
2. The apparatus zero the dial gauge by turning the bezel was...

...Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) The role of the lawyer is to
A) tell their clients what they must do.
B) provide legal advice relevant to the client's situation, which the client has no choice but to
follow.
C) delay the client's decision- making process.
D) tell their clients what they must not do.
E) provide legal advice relevant to the client's situation, which...

...graph with daily walking record Displays yearly data with monthly walking record Displays the total walking record and “Top 5” one-day total steps walked
You can change the date range if you click the date or month on the bottom of the graph. For example: Click the month on the bottom of the yearly graph → Monthly graph appears Click the date on the bottom of the monthly graph → Weekly graph appears Click the date on the bottom of the weekly graph → Daily graph appears...

...MEMORIAL UNIVERSITY OF NEWFOUNDLAND
FACULTY OF ENGINEERING AND APPLIED SCIENCE
Engineering: 4312
Mechanics of Solids I
Lab Test #4 – Torsion Test
OBJECTIVES:
To carry out a torsion test to destruction in order to determine for a 1020 carbon steel rod specimen: 1. The modulus of rigidity, 2. The shear stress at the limit of proportionality, 3. The general characteristics of the torque, angle of twist relationship.
REFERENCES:
1....

...Introduction
A bending moment is simply defined as “the algebraic sum of the moments of all the forces which induces bending of an element” (1). The aim of this assignment is to work out the bending moment in a simply supported beam when different concentrated loads are applied to it. A simply supported beam is a structure, usually with a straight profile supported at the ends, often pinned on one side and simply supported or on a roller on the...

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