Investigating Hooke 's Law And The Euler Bernoulli Bending Beam Theory

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,

The purpose of the Boomilever Project is to build a cantilevered truss that is light-weight while still able to support 15 kilograms. With this project it serves to reinforce the cumulative concepts that have been taught throughout this semester of Engineering Statics. It has been necessary to research designs, types of wood, and types of adhesive that will create a final result that is consistent with the

Compression is the force pressing a material and compacting it and acts on the towers of a suspension bridge, this force is created from the weight of the towers and the load on the bridge. Compression forces will also act on the surface of the bridge deck as when a load is applied it will have some flexibility and bend, it will then travel up the cables, ropes or chains to transfer the compression forces to the towers. The towers then dissipate the compression directly into the earth. (Bagga 2014).

We needed to fully utilise our knowledge by applying all the basic concepts in physics such as dynamic equilibrium and knowing the stiffness of the materials to build strong miniature bridge using given items to withstand the weight applied.

While calculating the results from the collected data, the thin plate shows non-linear behaviour such that stress does not vary linearly with strain. In theory when pressure is concentrated at the centre of a circular plate, stress value decreases with respect to increasing radial distance from the centre. However in this case, we see that there are two principal stresses and they behave differently than one another. This experiment will introduce us to a new strain gauge called strain gauge rosette used for multi-channel strain measurement and other equations to calculate principal stresses and strains in a two-dimensional state.

Each separate truss (of the dimensions 920x5x50mm) consisted of a Pratt truss with nine diagonal members on each side of the centre. The model was tested in sufficiently isolated condition by tutors. It successfully passed the initial weight test, and satisfactorily resisted horizontal forces. Once fitted onto the testing rig, loads were applied and increased incrementally. Slight deformation was observed before failing at 12.5 kg, at which force a collection of members failed in succession, concluding the test.

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

During the first video, “Making Stuff Stronger”, the host, David Pogue, explored the world of strength in material. There are many different types of strength: tensile strength,

Tensile testing is important in order to determine the strength of the beams from the world trade centers. The strength needs to be high in

Our structure, consisting primarily of a paper tower, enabled a smooth functioning of our part in the Rube Goldberg project. Although it seems simple, the structure took several hours to create and properly organize. The stabilization of our structure depends on two crucial factors: the solid meter sticks within the edges and a heavy mass at its base. The solid meter sticks are supposed to ensure that the overall structure is stern and upright; the heavy mass at the base ensures that it does not move out of place and is stationary at any given spot that we desire it to be in. Newton’s first law of motion is depicted in almost every step of making our paper tower structure. One such example is that of the solid meter sticks within the edges of the tower. The sticks secured that the structure will not be acted upon by an unbalanced force at any particular edge and collapse to the table.

From brainstorming, we have considered numerous bridge designs that will suit the spaghetti bridge experiment that can withstand the load. We have decided to focus on a truss bridge type with suggestions of either Howe, Pratt or Warren truss bridges. Upon research of each type of trusses we have decided to build a Pratt truss bridge based on the simplistic design and the ability of the group members to construct the bridge with spaghetti. The Pratt truss bridge is an ideal bridge for its structural mechanics. The design of the Pratt truss bridges combines the elements of internal web members of diagonal and vertical beams. Thus, it is strong yet fairly light for its structure. The diagonals members are subjected to tension forces, whilst the

The forces that are involve with the experiments are basically focused on the concurrent forces. The experiment also allows us to develop the condition of balancing or arranging the angles both sides on a force table. This laboratory experiment allows us to take the mathematical abstraction of a vector to make it tangible as possible. This experiment will look into two ways of

This is a laboratory to learn how to make measurements using a strain gauge by using different configurations, also to determine experimentally the axial and transverse stress at the surface of the beam and compare them to theoretical calculations

The first approach requires a thorough understanding of the buckling phenomenon. The top cover of a wing box beam is a long and wide plate. For all practical purposes it will buckle as a wide column where the critical buckling stress is given by the Euler’s buckling formula

In this internal assessment, I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side, when I cut the string, it will bounce up and down until all the internal energy is depleted.