Bending of Beam Apparatus, Koenig’s Method

Product Code : EL-AM-10322

Specifications

A telescope and scale for reading the mirrors are not listed with this apparatus.

How Koenig's method is used

In Koenig's method the bending of the beam is measured not as a depression but as the small rotation of the beam near its supports. A load W at the centre of a beam supported over a span L tilts each end through an angle theta = W L^2 / (16 Y I), where I = d^4/12 for a square bar of side d. In the usual arrangement the two mirrors are fixed near the ends of the beam and turn with it, and viewing a scale by reflection in both mirrors magnifies the combined tilt into a readable shift, in the manner of an optical lever.

1. Fix the two table clamps to the bench and rest the beam on their knife edges, with the hanger at the centre of the span.
2. Set the tilting mirrors so that a scale is seen through a telescope after reflection in both mirrors.
3. Note the scale reading with no load, then add masses to the hanger in equal steps and note each new reading.
4. Repeat while unloading, and use the mean shift per unit load with the mirror and scale distances, the span and the bar side to calculate Y.

Key features

• Brass beam of 9 mm square section, one metre long
• Rests on the knife edges of two heavy table clamps
• Sharp knife edge with hanger applies the load on the beam
• Two tilting-type mirrors for the optical measurement of beam tilt
• Available with or without weights

Documentation and supply

Installation instructions and a manual are supplied with the apparatus. Most Lab Exports products carry a one-year manufacturer warranty.

Lab Exports manufactures the Koenig's method apparatus at its works in Laxmi Nagar, Delhi, and supplies it to colleges, universities and schools in India and 60+ countries, handling the export documents for each shipment. More about the company is on the About Lab Exports page.

Related Applied Mechanics products

• Bending of Beam Apparatus (EL-AM-10321)
• Cantilever Apparatus (EL-AM-10323)
• Torsion (Barton's) Apparatus Vertical Pattern (EL-AM-10320)
• Kater's Reversible Pendulum (EL-AM-10324)
• Torsion Apparatus Searle's Type (EL-AM-10319)
• Bifilar Pendulum (EL-AM-10325)

The full range is in the Applied Mechanics section of the Physics Lab range.

Frequently asked questions

What is Koenig's method for bending of beam?

It finds Young's modulus from the tilt of the beam near its supports, read optically with two mirrors, instead of measuring the central depression directly.

What is the beam of the Koenig's method apparatus made of?

Brass, 9 mm square in section and one metre long.

How many mirrors are supplied?

Two tilting-type mirrors are provided with the apparatus.

What is the price of the Koenig's method apparatus?

Prices are not published on the website. Add the Koenig's method apparatus to the Enquiry Cart with the Add To Cart button on this page, or email [email protected] with the house code EL-AM-10322 and the quantity, to receive a quotation.

Does Lab Exports manufacture the Koenig's method apparatus?

Yes. Lab Exports manufactures the Koenig's method apparatus at its works at 11/315, Lalita Park, Laxmi Nagar, Delhi 110092, under house code EL-AM-10322.

Request a quote

Email [email protected] with the house code EL-AM-10322 and the quantity, or add the Koenig's method apparatus to the Enquiry Cart with the Add To Cart button on this page. Tender buyers can also see the Tenders and OEM page.