I Review Learning Goal: Part A- Vertical impact To calculate displacement and stresses due to vertical and horizontal impact loads. A 10-kg block is dropped from 1.5 m onto the center of a simply supported beam with a length 3 m. The beam has a square section with side length 6.5 cm. The material has E = 200 GPa . What is the maximum deflection? When an object strikes a structure that responds by deforming in linear elastic fashion, the object comes to rest when the structure has undergone maximum deflection. At that moment, the structure's strain energy must equal the sum of the energies before the impact, including both the object's kinetic energy and its gravitational potential energy. Express your answer with appropriate units to three significant figures. > View Available Hint(s) When an object falls from rest onto a structure, the object's gravitational potential energy is converted into strain energy in the structure. The total strain energy in the structure at the point of maximum deflection is the sum of the potential energy of the object measured from the point of impact and the work that would be done by slowly applying the weight of the object at that same point. Amax = 23.8 mm Submit Previous Answers Consider an object dropped from a height h onto a structure. The maximum deflection Amax can be related to the static deflection A due to the same weight by the impact factor v Correct n: Amax = nA - The impact factor is n = 1+/1+2(4) The maximum stress due to the impact omaz is also related to the stress due to the static load ơ by this same factor: omax = no Part B- Maximum stress If instead the impact involves an object traveling horizontally at speed v, then the structure does not support any of the weight. In this case, the strain energy at maximum deflection equals the original kinetic energy of the object. The maximum deflection is What is the maximum normal stress in the beam due to the impact in Part A? Express your answer with appropriate units to three significant figures. Amax = where g= 9.81 m/s² is the vertical acceleration due to gravity and > View Available Hint(s) At is the deflection that would be produced by applying a load equal to the weight of the object horizontally on the structure. HẢ ? It is assumed in all cases that the mass of the structure can be ignored. Omax. = 824 MPа Submit Previous Answers Request Answer X Incorrect; Try Again; 27 attempts remaining