UNIVERSITI TUNKU ABDUL RAHMAN
Engineering & Science
ME PERSONALLY, MM, MH, BI, CI, CL
Y1S1, Y1S2, Y1S3
Ms. Lam Foong Sin
Experiment 1: Young's Modulus
The Young's Modulus Apparatus is actually a bench-top unit designed for pupils to understand and determine Young's Modulus of given material samples.
This consists of an epoxy lined steel response frame including a meter extended linear range. Two adjustable supports give you the variable span needed to perform the try things out. Stainless steel weight load and hangers are provided to get applying reloading to the beams. One set of dial gauges to 0. 01 mm image resolution, complete with installation brackets are utilized for the measurement from the beam deviation.
A theory and experiment Work Piece is provided for students to follow the appropriate process of operation and computation.
1 . To look at the relationship between load, period width, elevation (depth) and deflection of your simply supported beam.
2 . To ascertain the Coefficient of Elasticity (Young's Modulus) for steel, instruments and aluminium. Accessories: Set of Stainless steel hanger and weights
Set of dial gauges (0. 01 mm resolution)
Several leveling toes with built/in spirit level
Dimensions: 1050 x 400 x 300 mm
Pounds: Approximately 50kg
The flexible modulus is among the most important real estate involved in several aspects of material engineering intended for design functions. Every material undergoes elastic deformation under actions. Supple deformation is mostly defined as non permanent deformation of its condition and will be capable to return to their original express upon associated with actions. Pertaining to elastic deformation, the stress point out of the materials had not exceeded its flexible limit. Any kind of deformation due to further increases in insert or tension beyond the yield stage of a certain material will cause plastic deformation (permanent or non-recoverable).
The Young's modulus (elastic modulus) is a way of measuring of the rigidity of a offered material. It is defined as the limit intended for small traces of the level of alter of anxiety with pressure. Besides using the stress and strain graphs, the Young's modulus of any materials can also be determined by using the deflection of the materials (beam) when subjected to load.
The deviation of a light depends on the length, the cross-sectional form, the material, in which the deflecting push is utilized, and how the beam can be supported.
Moment of Masse, I
Minute of Masse, I, is the property of the object linked to its resistance from rotation. This will depend on the mass of an thing and the division of mass with respect to the axis of rotation. For a prismatic beam, the Moment of Inertia at a section is worked out based on the cross-sectional form and the fullness (depth). For a rectangular section beam, I = bh3/12.
Moment of Inertia for rectangular section
I = bh3/12 вЂ¦вЂ¦вЂ¦ b sama dengan width of beam
l = level of light beam
Moment of Inertia to get circular section
I = КЊd /64 вЂ¦вЂ¦вЂ¦ deb = diameter of the spherical section
l = radius of the round section
Deflection equation based on a beam support types
1 . One set end and one simple support end
Farrenheit = load (action) used
L sama dengan beam duration
a= intermediate length of light beam
ДЇ = deflection
E = Young's Modulus
We = Second of inertia
The deflection at size a from the fixed support is:
ДЇ = Fa3(L - a)2(4L - a) / 12EIL3
For a load in the centre in the beam, substituting a = L/2 inside the above formula, the deflection is: ДЇ = a few. 5FL3 / 384EI
installment payments on your Two straightforward supports end
The deviation at length a from the left-hand support is:
ДЇ = Fa2(L - a)2/3EIL
For a weight in the centre with the beam, substituting a sama dengan L/2 inside the above equation, the deflection is: ДЇ = FL3/48EI
BENDING OF BEAM AND COEFFICIENT OF ELASTICITY
Part one particular: To...