Shear Force and Bending Moment

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,

A simple beam bridge that is flat across and supported at the two ends. A longer beam bridge can be held up along the middle by piers standing in the river. The weight of the bridge itself, plus the load that it carries, plus gravity are the downward forces are spread evenly across the length of the bridge. The upwards forces that hold the bridge up come from the piers. The Confederation Bridge in Canada is a famous beam bridge.

b) Determine the distance, x, from the left end of the beam to the point where the rope is attached. Note: take the torque about the left end of the beam.

b. Describe the direction of the force and the meaning of the negative sign in the acceleration value.

5. What’s really meant is that the forces are the same but going in different directions as a mirror image of one another. So when one force is going for example 2 newtons in a positive direction, the same amount is going in the opposite direction.

Briefly describe the nature of the relationship between these two variables (Hint: mention strength and direction). [2 marks]

When the bridge was tested, at 26 pounds of pressure, it began to buckle. The top support near the middle of the bridge on one side caved in, and as the weight increased, more of the top supports collapsed. At 47.3 pounds of pressure, the bridge snapped in half. By the end of the testing, the bridge had lost all of it’s top supports, two sections of diagonal supports on either side, and a small portion of the roadway.

In contrast, there are a range of sociological theories that attempt to explain the cause of crime. One example of this is the ‘Structural Strain Theory’ developed by functionalist Robert Merton. This functionalist view states that societies are branded by both culture and social structure. Culture creates goals for people in society whilst social structure supplies (or fails to supply) the means for people to achieve those goals. In a well-integrated society people attempt to achieve these goals in an acceptable and appropriate way according to the explicit and implicit rules of that society. Therefore the goals and means in this society are balanced, however when an imbalance occurs, this is what causes deviant behaviour transpire. One paradigm that explains this theory is people who aspire to be economically successful (goal) will get a job to earn money (appropriate means of reaching that goal) and this type of person is called a conformist. However someone from a lower class who may not have the opportunity to receive a good education in order to get a job therefore they will surpass the acceptable means of reaching this goal. Therefore they are more likely to conduct deviant behaviour to reach this goal e.g. theft and this type of person is called an innovator according to Merton due to their acceptance of the cultural

Even though the experiments we did generally supported our hypothesis, as we understood from the graph, there were points which aren’t even close to best fit line. Random errors in this experiment may cause this aberration such as our point of view. Also, we didn’t include the weight of the strings, which might also affect the accuracy of the calculations.

Overall, my team used this structure because it is used for strength and weight distribution, so my team decided to use triangular shapes as the beams in order to take the force acting at one point of the bridge and wide it. This will

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

The magnitude of the forces exerted in the horizontal and vertical directions can be calculated using trigonometry. The total magnitude of the force multiplied by the cosine of its angle with the horizon will calculate the horizontal force. Conversely, the total magnitude of the force multiplied by the sine of its angle with the horizon will calculate the vertical force.

The team decided to do numerous stress analyses and at least five experiments. The experiments served as a great learning experience because they taught the group the possibilities of what to use in the roadway and basic lessons on how to handle tension and compression. For example, Terence created a “sandwich” under-support to view how it would fair as a system of under-support in the final build. This sandwich involved gluing five members together and then diagonally layering it with seven sticks. Lastly, he glued five more sticks on top of the diagonally layered members. This was an excellent experiment because this “sandwich” would not break, even after Terence put his full weight and his sister’s old college books on it; however, it weighed thirty grams, making it essential to use only on the most crucial parts of the bridge.Next, there was the water experiment, during which Terence submerged three Popsicle sticks in water for four days. This experiment proved that the sticks would not bend as much as one would expect them to; in fact, they would only bend in a clockwise or counter-clockwise position. Finally, there was the experiments of the trusses. In these experiments, Terence created a double-layered Triangle Truss that held three hundred pounds and an X Truss that could hold only thirty pounds. In the end, this experiment taught the group that a simple X Truss would not satisfy the final build and that triangles were

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.

That performed laboratory session on bending moments 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 applied perpendicularly to longitudinal axis. That experiment helps us to find the maximum load that can be applied to the beam with rectangular cross section. Moments are calculated by using statics theory, or multiplying perpendicularly directed load by the respective distance to the pivot point.