Lab 7 Exercise: Beam Bending Under 3-Point Loading

do your best ,do the lab report and bonus quotations . if you have any quotations just ask me please i need full mark


Don't use plagiarized sources. Get Your Custom Essay on
Lab 7 Exercise: Beam Bending Under 3-Point Loading
Just from $13/Page
Order Essay

Unformatted Attachment Preview

Lab 7 Exercise: Beam Bending Under 3-Point Loading
Bend testing (also flexural testing) is commonly performed to measure the flexural strength and
modulus of all types of materials and products. Here we apply the load perpendicular to the longitudinal
axis of the specimen to compare beams of different x-sectional geometries. This is important because
for a given application one must choose a material and a beam geometry such that it does not bend
significantly when supporting the loads required for the application. This experiment uses a universal
testing machine and a three point bend fixture to bend the beam and acquire load vs. deflection data
needed to calculate the properties of the beam.
Load (N)
Position (mm)
Test Procedure:
1. Produce beams of different x-sectional geometry for comparison. Measure the sample
geometry carefully, including span length (L) between supports and calculate moment of
inertia about z.
2. Adjust the support span length determined by your sample size (here L will be 28cm).
3. Place the test beam on the 3 point bend fixture and begin the test, collecting load vs.
deflection data.
4. End the test after bending to 5% strain or until the sample breaks.
5. Answer the Questions below.
Questions to Answer:
1) Under 3-point bending, what is the maximum shear force (V) and bending moment (M) for a
point load applied in the middle of the beam? Show free body diagrams and equilibrium
equations (solve for all reactions). Draw shear force and bending moment diagrams for V and
M (be sure to label max/min values as a function of P and L)! (20 pts)
2) Calculate the moment of inertia (Iz) and section modulus (S) for the two simple beam
configurations below (measure the width and thickness of each board for composite beam).
Then calculate Iz and S for YOUR beam –be sure to show all steps using the parallel axis
theorem (see lecture notes and Ch 10)! (20 pts)
Your Beam
3) From the class data collected, fill out Chart below (Pmax, dmax, and m for ALL Beams;
remaining columns fill out just for the 1 horizontal, 2 vertical, and YOUR beam. (20 pts)
Pmax (N)
Beam 3
Beam 4
Beam 5
Beam 6
4) From the tabulated data above, determine which has the best properties in terms of flexural
strength (Pmax) and flexural stiffness proportional to slope m. Did the result surprise you? How
did the results correlate with S? (10 pts)
5) According to the flexure formula in Chapter 5, the normal stress is given by:
where M is bending moment, y is distance along specimen height, and I is
moment of inertia. When/where is this a maximum (on the beam’s length and x-section)?
Compare the stress withstood by each beam. (10 pts)
?x ? ?
where V is the shear force, Q is the first moment and b is
the width of the beam at the centroid. When/where is this a maximum (on the beam’s length
and x-section)? Calculate tmax for your beam and the horizontal and vertical beams. (10 pts)
6) Max shear is given by: ? ?
7) Calculate the maximum flexural strain for each (prior to failure) using the formula:
where d is deflection at the beam center (prior to failure) and L is the span
length of the beam supports and h is the height of the beam. Which beam deformed the most?
Rank them from highest to lowest. (10 pts)
?f ?
L3 m
*Bonus: Calculate Young’s modulus E using the formula: E ?
. Does this vary widely for
each of the beams? Does this match literature values for this type of wood? Why might there
be variation or discrepancy? (Is you’re beam purely wood or other material?)

Purchase answer to see full

Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

Order your essay today and save 15% with the discount code DISCOUNT15