MEM23061A Test Mechanical Engineering Materials
Lab. BEAM BENDING
The bending of beams is one of the most important types of stress in engineering. Bending is more likely to be a critical stress than other types of stress - like tension, compression etc. In this laboratory, we will be determining the Modulus of Elasticity E (also called Young's Modulus) of the various materials and using Solid Edge to determine the Second Moment of Area for the different cross-sections.

[pic]

Equations
Use units: Force (N), Length (mm), Stress (MPa)
E = Young's Modulus or Mod of Elasticity (MPa)
I = 2nd Moment of Area or Area Moment (mm4). Can calculate using SolidEdge sketch. BENDING
[pic]
In our case, we must first convert the mass to Newtons (N). W = kg * 9.81 L is the span length in (mm).
I is the Second Moment of Area in (mm4). We can calculate this for a rectangle using a simple formula; [pic]
For other shapes it is not so simple. We need to calculate these using a program such as Solid Edge (see below).

Determining the value of E in MPa. From the above equation,

Deflection z = W * L3 / (48 * E * I)

so E = W * L3 / (48 * z * I)

Determining Stress in MPa. From the above equation,

Bending Moment (Nmm) M = W*L / 4
and
Maximum Stress (MPa) f = M * y / I
where y = distance from centroid to the bottom (or top) of the beam. This is simply half the depth for all the symmetrical beams except the channel. To find the centroid for the channel you need to use Solid Edge again (same as the Ixx window) [pic]

Laboratory
1. Load another beam onto the rig.
2. Adjust dial gauge to ensure it is touching the beam. Zero the dial face by rotating the lense and locking in place. 3. Apply each load and record the deflection measurement.
4. Check you have all recordings: Beam material, beam cross-sectional dimensions, span length, deflection readings, masses. 5. Make estimates of the errors associated with each measurement. E.g....

...1
eng1201 tutorial 10 problem set (Set No. 6)
1. Calculate the area A, the location of the neutral axis, and the secondmoment of area (cross section stiffness) IXX for each of the following shapes, and rank them in order of increasing stiffness. Scale the dimensions from the drawings, and work in mm. For a circle,
π r4 I= . 4
X X X (b) (a) X (d)
X X X
X
(c)
X X X X X
X
(e)
(f)
(g)
X
X X
X X...

...EXPERIMENT : CONTINUOUS BEAM
1.0 Learning outcome:
1.1 Determine the magnitude of the fixing moment in a continuous beam by experiment and
to compare this with the value predicted by theory.
2.0 Apparatus/Equipment:
2.1 Aluminium
2.2 Brounze
2.3 Weight
2.4 Dial gauge
Weight Dial gauge Aluminium Brounze
3.0 Safety and health:...

...1.0 OBJECTIVE
1.1 To examine how bendingmoment varies with an increasing point load.
1.2 To examine how bendingmoment varies at the cut position of the beam for various loading condition.
2.0 LEARNING OUTCOMES
2.1 To application the engineering knowledge in practical application
2.2 To enhance technical competency in structural engineering through laboratory application.
2.3 To communicate...

...for reactions, shear force and moment for:
a. Simply supported beam
b. Simply supported beam with one end overhanging
c. Simply supported beam with both ends overhanging.
2. To calculate shear force and moment using influence line
3. To determine maximum shear force and moment
4. Calculate Absolute Maximum Moment (MMM)
4.1 INTRODUCTIONS:
Influence line is to:
Analysis a structure due to moving load along the beam.
Show the changes in...

...Introduction
A bendingmoment 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 bendingmoment 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...

...Theory of simple bending (assumptions)
Material of beam is homogenous and isotropic => constant E in all direction Young’s modulus is constant in compression and tension => to simplify analysis Transverse section which are plane before bending before bending remain plain after bending. => Eliminate effects of strains in other direction (next slide) Beam is initially straight and all longitudinal filaments bend in circular arcs =>...

...Applied mechanics laboratory report
“Measurement of bendingmoment and
shear forces for structural analysis”
Azamat Omarov
ID201102658
1.Theory and background
1.1 Summary
That performed laboratory session on bendingmoments and shear forces requires good understanding and sufficient knowledge of axial forces. Bending is defined as a behavior of any structural element that undergoes the external load, which is...

...DEPARTMENT OF CIVIL ENGINEERING
COLLEGE OF ENGINEERING
CEMB 121 MECHANICS OF MATERIALS LABORATORY
LABORATORY EXPERIMENT NO. 3
BENDING OF BEAMS - (a) BendingMoment I
(b) BendingMoment II
SECTION 1
GROUP NUMBER 3
GROUP MEMBERS
1. YEOW SU LEE ( CE085335 )
2. JOUDI J. MOOSOM ( CE085338 )
3. NINI EZLIN ROSLI ( CE086340 )
4. MOHD AFIQ AFIFE BIN ABAS ( CE085310 )
5....

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