1. Objective:
The objective of this experiment is to demonstrate the bending of a bean when loaded at the center of its length and examine its deflection when positioned in two different ways, when the flat side of the beam is support and when the thin side is supported. In addition, try to find linear relationship between the load applied and the deflection of the beam and comparing the experimental deflection with the theoretical deflection.
If the load is applied at the mid- length a=b=L/2 then mid span deflection is: δ = PL3/(48EI).
Where P is the applied force, L is the length of beam, E is the modulus of elasticity of aluminum, and I is the moment of Inertia.
For a beam of rectangular cross section, say of width w and
…show more content…
The beam was loaded the mid-length in 2.745 lbs. increments up to 6.745 lbs. The change in clearance of every load step was measured and data was recorded.
Case II: The beam was turned around in such way that the shortest side of the cross section is on the support. The steps described in Case I was repeated and data was recorded.
4. Results:
Following tables and graphs show the result of the experiment. The tables will demonstrate the experimental and theoretical deflection for each case. The graphs will show the relationship between the load applied and deflection, in addition to compare the experimental deflection and theoretical deflection.
Case I: Dimensions of the beam
Length (L)= 29.35 in., Width (w)= 1.008 in., Thickness (t)= 0.125 in.
Inertia (I)= wt3/12 = 0.000164063 in4.
TABLE I P (lbs.) | Initial Clearance (in) | New Clearance (in) | Experimental Deflection (in) | Theoretical Deflection (in) | 2.745 | 0.75 | 0.98 | 0.23 | 0.31092 | 3.745 | 0.75 | 1.13 | 0.38 | 0.47587 | 4.745 | 0.75 | 1.2 | 0.45 | 0.63011 | 5.745 | 0.75 | 1.31 | 0.56 | 0.79903 | 6.745 | 0.75 | 1.44 | 0.69 | 0.99236 |
Case II: Dimensions of the beam
Length (L)= 35.5 in., Width (w)= 1.008 in., Thickness (t)= 0.125 in.
Inertia (I)= w3t/12 = 0.010668672 in4.
TABLE II P (lbs.) | Initial Clearance (in) | New Clearance (in) | Experimental Deflection (in) | Theoretical Deflection | 2.745 | 1.973 | 2.051 | 0.086
The goal of the beam project is to design and construct a beam that can hold a given amount of weight without breaking. The beam is required to hold a concentrated load of 375 lbf on the X-axis and 150 lbf on the Y-axis. The maximum allowable weight of the beam is 250 grams. The maximum allowable deflection for the beam is 0.230 in. and 0.200 in. for the X and Y-axis respectively. The beam is required to be 24 in. in length, and it will be tested on a simply supported configuration spanning 21 in. All calculations are to be done under the assumption that the density of basswood is 28 lbm/ft3 and the modulus of elasticity for basswood is 1.46x106 lbm/in2. Given the constraints of a spending cost of $10.50, a maximum beam weight of 250 grams,
Deflections of a beam are important to be able predict the amount of deflection for a given loading situation. This experiment addresses determining the yield point for a material to fail, so the stress in the material does not have to reach to that point. This is where understanding beam deflection becomes a useful tool. This experiment is using beam deflection theory to evaluate and compare observed deflection per load values to theoretical values. Beam deflection experiment done by four parts. Part 1 -Simple Supported Bean, part
This report aims to describe the experiment performed to investigate the stiffness of a channel section, and in particular calculate the flexural rigidity (EI) of the beam by two different sets of calculations based on the results gained in the experiment. The EI of an object is used
During the construction, two half-spans being assembled 50 meters above ground level had a misalignment of 4.5 inches or 114mm in camber. It was suggested by John Holland & Constructions to use a kentledge to weigh down the higher section of bridge. It so happened that they had ten, eight tonne concrete blocks on site. These were placed halfway along the higher span to
Note: the new design is to prevent the bottom face of the beam from bending and further weakening the
The beam-placing operates in two ways depending on where beams are delivered. On one condition, that beams are delivered on the ground level, lifting trolley will pick them up directly by both ends. On the other condition, that beams are delivered at abutment, by two trucks or other carriers at each side, the front trolley will pick up the front end of beams, then the front end of beams will be released from carrier; the front trolley moves forward, simultaneously with another carrier and beams, until the rear end of beams are at the same horizontal position of the rear trolley. The rear trolley will pick up the rear end of beams then, and once again the beams will be released from carrier. After the trolley getting the beams at deck level, the latter will be placed onto the bearings. To be specific on position control, trolleys move along the main girder/ main truss, and at other direction main girder/ main truss and move perpendicularly to span, and vertical position can be handle by trolley themselve by adjusting length of wires.
This marks the path of the undiverted beam. Next, extend a line from point a (on the wall) through point f (on the table). To do this, stretch a string from point a so that it passes over point f. Mark the point where the string crosses the line between d and e. This is point c. Measure the distance between points a and b, and record it in your lab notebook.
where r_1 is the radius from left side of the beam and r_2 is the radius from the right side.
One thing that has been brought up as a concern for the hospital is using unistrut versus structural steel to hold booms from the ceiling. Unistrut tends to move too much and causes too much movement in the booms when doctors are in surgery. The engineer on the project has started to investigate this problem and has agreed to use structural steel instead of unistrut. In my Structural Systems I class, we learned how structural steel deflects with certain
The results of these experiments will depend on many mechanical properties of the material and it is often very common, in order to simplify the mathematical relationships between stresses and strains and improve the interpretation of the responses, to make several assumptions about the material characteristics:
Hooke’s Law states that the stress applied to an object is directly proportional to the strain produced, when within the elasticity limit. The helical spring works based on this
The typical stages in the load-deformation behavior of a reinforced concrete simply supported beam are illustrated in Figure 1.
(c) Explain the difference between point loads and uniformly distributed loads. Include annotated pictorial diagrams
The modules on the bottom layer are installed with the longer sides at right angles to the support beams. The module supports can be nominal 100 to 150 mm beams at 600 mm or 900 mm centres. This is possible due to the strength of
In this experiment a force table is used experimentally to determine the magnitude and direction of a fourth force that is necessary to effect static equilibrium when three known forces act on a light ring. The reliability of the data is investigated, and the experimental values are compared to theoretical values.