(Solved): Conservation of Energy Learning Goal: To use conservation of energy to calculate the displacement ...

Conservation of Energy Learning Goal: To use conservation of energy to calculate the displacement of a point in a truss. When a structure is subjected to a single point load and deforms in a linear-elastic fashion, if the deflection of interest is at the location and in the direction of the applied load, then the conservation of energy can be used to calculate the deflection. As the load is slowly increased from zero to some value P, and the final deflection in the direction of the load is A, the load does 1 work U? ==PA on the structure. By conservation of energy, 2 this work is stored in the elastic deformation energy of the structure, U?. For a truss, the internal strain energy is the sum of the axial strain energies in all the elements. This gives the equation PA=C² N²L 2AE Figure < 1 of 1 P B 2.4 m A 1.8 m- 3.2 m 1 of 6 Review Consider the truss subjected to a single point load P = 14 kN downward at point C (Figure 1). The members of the truss all have E = 200 GPa and cross- sectional area 17 cm². Part A - Strain energy in AC What is the strain energy in truss member AC due to the applied load? Express your answer with appropriate units to three significant figures. ? View Available Hint(s) U?,AC = 0.553 J Submit Previous Answers ? Correct Part B - Strain energy in BC What is the strain energy in truss member BC due to the applied load? Express your answer with appropriate units to three significant figures. ? View Available Hint(s) U?,BC = 0.415 J Submit Previous Answers ? Correct Part C - Deflection at C Use the conservation of energy to determine the vertical deflection downward at point C. Express your answer with appropriate units to three significant figures. ? View Available Hint(s) HÅ ? ?? = 0.130 mm Submit Previous Answers X Incorrect; Try Again