Cantilevered beam is loaded at the center of the free end as follows: Fx= 1000 N,...

  

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Cantilevered beam is loaded at the center of the free end as follows: Fx= 1000 N, Fy= 1000 N, Fz= 1000 N. Note that Fz is in negative z direction, while Fx and Fy are in positive x and y direction, respectively. Cross-sectional dimensions are given in the figure. Total length of the beam is 2 m. Points A and B are 1 meter from the wall, and 1 meter from the loaded point. a) Calculate normal stress at points A and B (10 points)? Normal stress at point A is in MPa, at point B is in MPa. b) Calculate shear stress at points A and B (10 points)? Shear stress at point A is in MPa, at point B is in MPa. c) Sketch the direction of normal and shear stress at points A and B (5 points) d) For point B, calculate (using equations) principal normal stress (max, min) and principal shear stress. Calculate angles where these stresses appear (5 points). The maximum principle normal stress (Sigma1) is (Theta_p1) of The minimum principle normal stress (Sigma2) is (Theta_p2) of The principle shear stress is in degrees. in degrees. in degrees. in MPa, with a principle angle in MPa, with a principle angle in MPa, with an angle (Theta_s) of e) Draw the direction of principal normal and shear stresses at point B with respect to the beam's coordinate system (5 points) f) Draw Mohr's circle for the state of stress at point B to confirm the principal stresses (normal, shear) and their angles, basically confirming the values you just calculated in part d. (10 points) wall 0.025 m 0.025 m 1 m A B 1m Z y Fy F 0.1 m 0.05 m Cantilevered beam is loaded at the center of the free end as follows: Fx= 1000 N, Fy= 1000 N, Fz= 1000 N. Note that Fz is in negative z direction, while Fx and Fy are in positive x and y direction, respectively. Cross-sectional dimensions are given in the figure. Total length of the beam is 2 m. Points A and B are 1 meter from the wall, and 1 meter from the loaded point. a) Calculate normal stress at points A and B (10 points)? Normal stress at point A is in MPa, at point B is in MPa. b) Calculate shear stress at points A and B (10 points)? Shear stress at point A is in MPa, at point B is in MPa. c) Sketch the direction of normal and shear stress at points A and B (5 points) d) For point B, calculate (using equations) principal normal stress (max, min) and principal shear stress. Calculate angles where these stresses appear (5 points). The maximum principle normal stress (Sigma1) is (Theta_p1) of The minimum principle normal stress (Sigma2) is (Theta_p2) of The principle shear stress is in degrees. in degrees. in degrees. in MPa, with a principle angle in MPa, with a principle angle in MPa, with an angle (Theta_s) of e) Draw the direction of principal normal and shear stresses at point B with respect to the beam's coordinate system (5 points) f) Draw Mohr's circle for the state of stress at point B to confirm the principal stresses (normal, shear) and their angles, basically confirming the values you just calculated in part d. (10 points) wall 0.025 m 0.025 m 1 m A B 1m Z y Fy F 0.1 m 0.05 m