Distributed loads are similar to pressure, but only consider the length of the beam and not the width of the beam. The formulas in this calculator only focus on either the downward or upward directions for the point load and distributed loads. Loads can be in the form of a single point load, linear pressure, or moment load. Downward loads tend to deflect the beam downwards. Loads, on the other hand, affect the beam's deflection in two ways: the direction of the deflection and the magnitude of the deflection. The longer the beam gets, the more that it can bend, and the greater the deflection can be. However, by inspecting our formulas, we can also say that the beam's length also directly affects the deflection of the beam. The formulas show that the stiffer the beam is, the smaller its deflection will be. Now that we know the concepts of modulus of elasticity and moment of inertia, we can now understand why these variables are the denominators in our beam deflection formulas. Understanding the beam deflection formulas This difference in the moment of inertia values is the reason why we see beams in this configuration, wherein its height is greater than its width. The values we obtained tells us that the beam is harder to bend with a vertical load and easier to bend if subjected to a horizontal load. Since we are considering the deflection of the beam when it bends vertically, we always have to use Iₓ for our computations. That's because we can consider the beam bending vertically (along the x-axis, that is Iₓ) or horizontally (along the y-axis, that is Iᵧ). Notice how there are two values for the moment of inertia. Using the formulas that you can also see in our moment of inertia calculator, we can calculate the values for the moment of inertia of this cross-section as follows: To further understand this concept, let us consider the cross-section of a rectangular beam with a width of 20 cm and a height of 30 cm. The moment of inertia also varies depending on which axis the material is rotating along. The moment of inertia depends on the dimensions of the material's cross-section. The moment of inertia represents the amount of resistance a material has to rotational motion. On the other hand, to determine the moment of inertia for a particular cross-section of a beam, you can visit our moment of inertia calculator. You can learn more about the modulus of elasticity by checking out our stress calculator. This difference in the values of modulus of elasticity shows that concrete can only withstand a small amount of deflection and will experience cracking sooner than steel. Concrete's modulus of elasticity is between 15-50 GPa (gigapascals), while steel's tends to be around 200 GPa and above. The higher a material's modulus of elasticity, the more a deflection can sustain enormous loads before it reaches its breaking point. The modulus of elasticity depends on the beam's material. We can define the stiffness of the beam by multiplying the beam's modulus of elasticity, E, by its moment of inertia, I. Provides value added services including data-center, digital marketing and domain registry services.Calculating beam deflection requires knowing the stiffness of the beam and the amount of force or load that would influence the bending of the beam.
#Beam calculator software software#
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