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Learning Goal: Consider the truss subjected to a single point load P = 13 kN downward at point C (Figure 1). The members of the truss all have E = 200 GPa and cross-sectional area 22 cm? 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 Part A- Strain energy in AC What is the strain energy in truss member AC due to the applied load? A, the load does work U, = PA on the structure. By conservation of energy, this work Express your answer with appropriate units to three significant figures. is stored in the elastic deformation energy of the structure, Uj. > View Available Hint(s) For a truss, the internal strain energy is the sum of the axial strain energies in all the elements. This gives the equation N²L HA ? PA =E 2AE where Nis the internal axial force in each member. Value Units Submit 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. Figure < 1 of 1 > > View Available Hint(s) HA ? Value Units Submit 2.4 m B Part C- Deflection at C A F1.8 m- 3.2 m

Learning Goal: Consider the truss subjected to a single point load P = 13 kN downward at point C (Figure 1). The members of the truss all have E = 200 GPa and cross-sectional area 22 cm? 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 Part A- Strain energy in AC What is the strain energy in truss member AC due to the applied load? A, the load does work U, = PA on the structure. By conservation of energy, this work Express your answer with appropriate units to three significant figures. is stored in the elastic deformation energy of the structure, Uj. > View Available Hint(s) For a truss, the internal strain energy is the sum of the axial strain energies in all the elements. This gives the equation N²L HA ? PA =E 2AE where Nis the internal axial force in each member. Value Units Submit 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. Figure < 1 of 1 > > View Available Hint(s) HA ? Value Units Submit 2.4 m B Part C- Deflection at C A F1.8 m- 3.2 m

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Learning Goal: Consider the truss subjected to a single point load P = 13 kN downward at point C (Figure 1). The members of the truss all have E = 200 GPa and cross-sectional area 22 cm? 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 Part A- Strain energy in AC What is the strain energy in truss member AC due to the applied load? A, the load does work U, = PA on the structure. By conservation of energy, this work Express your answer with appropriate units to three significant figures. is stored in the elastic deformation energy of the structure, Uj. > View Available Hint(s) For a truss, the internal strain energy is the sum of the axial strain energies in all the elements. This gives the equation N²L HA ? PA =E 2AE where Nis the internal axial force in each member. Value Units Submit 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. Figure < 1 of 1 > > View Available Hint(s) HA ? Value Units Submit 2.4 m B Part C- Deflection at C A F1.8 m- 3.2 m
Transcribed Image Text:Learning Goal: Consider the truss subjected to a single point load P = 13 kN downward at point C (Figure 1). The members of the truss all have E = 200 GPa and cross-sectional area 22 cm? 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 Part A- Strain energy in AC What is the strain energy in truss member AC due to the applied load? A, the load does work U, = PA on the structure. By conservation of energy, this work Express your answer with appropriate units to three significant figures. is stored in the elastic deformation energy of the structure, Uj. > View Available Hint(s) For a truss, the internal strain energy is the sum of the axial strain energies in all the elements. This gives the equation N²L HA ? PA =E 2AE where Nis the internal axial force in each member. Value Units Submit 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. Figure < 1 of 1 > > View Available Hint(s) HA ? Value Units Submit 2.4 m B Part C- Deflection at C A F1.8 m- 3.2 m
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