A beam with square cross-section is loaded as shown in the figure. The height and width...
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A beam with square cross-section is loaded as shown in the figure. The height and width of the beam are both 0.1m. Young's modulus of the beam is 200GPa. Assuming the beam is bending on a frictionless horizontal plane and no need to consider gravity. 1) Determine the reaction force and reaction moment from the wall to the beam. (20 points) 2) Draw the shear force and bending moment diagrams. (20 points) 3) Determine the maximum tensile bending stress and its location. Indicate where on the x axis and on which side of the beam. (10 points) 4) Determine the deflection of the beam at x=2m, where the concentrated force is applied. (10 points) 5) Draw a stress element at point A (x=2.5m and at the neutral axis of the beam). Write down the values of the stress components. (15 points) 6) Draw a stress element at point B (x=3m, y=0.05m). Write down the values of the stress components. (15 points) 7) Plot the deflection of the beam as a function of x. (10 points) y x = 0 20kN m x= 1m 10kN + A x = 2m B 10kN/m x = 3m x = 4m X A beam with square cross-section is loaded as shown in the figure. The height and width of the beam are both 0.1m. Young's modulus of the beam is 200GPa. Assuming the beam is bending on a frictionless horizontal plane and no need to consider gravity. 1) Determine the reaction force and reaction moment from the wall to the beam. (20 points) 2) Draw the shear force and bending moment diagrams. (20 points) 3) Determine the maximum tensile bending stress and its location. Indicate where on the x axis and on which side of the beam. (10 points) 4) Determine the deflection of the beam at x=2m, where the concentrated force is applied. (10 points) 5) Draw a stress element at point A (x=2.5m and at the neutral axis of the beam). Write down the values of the stress components. (15 points) 6) Draw a stress element at point B (x=3m, y=0.05m). Write down the values of the stress components. (15 points) 7) Plot the deflection of the beam as a function of x. (10 points) y x = 0 20kN m x= 1m 10kN + A x = 2m B 10kN/m x = 3m x = 4m X
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