QUESTION 1 Figure Q1 shows one 'L' beam ACD which is built-in at one end and...

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QUESTION 1 Figure Q1 shows one 'L' beam ACD which is built-in at one end and is loaded with F 3kN at its free end and P 2kN at point C. The beam has a round cross-section with a diameter of 50 mm. The beam is made of steel with a 250 MPa, E-208 GPa and y = 0.3. a) Draw and calculate the stress element at point B in the x-y direction. (3 marks) b) Find the principal stresses at point B and draw the element. (1.5 marks) c) Find the maximum shear stress at point B (in that plane) and draw the element. (1.5 marks) d) What would be the principal strains (in that plane)? Draw the principal strain element too. (1.5 marks) e) If a strain gauge is mounted at an angle of 30 from x-direction at point B (as in the figure), what would be the reading? (1.5 marks) f) If the load P is put in reversed direction, the strain reading in (e) would be higher or lower? (0.5 marks) g) If the steel beam is replaced with aluminum, the strain reading in (e) would be higher or lower? (0.5 marks) B 200 mm P = 2 kN F=3kN 500 mm -x x B 30 Figure Q1 Strain gauge at surface B, at 30 from x-direction QUESTION 1 Figure Q1 shows one 'L' beam ACD which is built-in at one end and is loaded with F 3kN at its free end and P 2kN at point C. The beam has a round cross-section with a diameter of 50 mm. The beam is made of steel with a 250 MPa, E-208 GPa and y = 0.3. a) Draw and calculate the stress element at point B in the x-y direction. (3 marks) b) Find the principal stresses at point B and draw the element. (1.5 marks) c) Find the maximum shear stress at point B (in that plane) and draw the element. (1.5 marks) d) What would be the principal strains (in that plane)? Draw the principal strain element too. (1.5 marks) e) If a strain gauge is mounted at an angle of 30 from x-direction at point B (as in the figure), what would be the reading? (1.5 marks) f) If the load P is put in reversed direction, the strain reading in (e) would be higher or lower? (0.5 marks) g) If the steel beam is replaced with aluminum, the strain reading in (e) would be higher or lower? (0.5 marks) B 200 mm P = 2 kN F=3kN 500 mm -x x B 30 Figure Q1 Strain gauge at surface B, at 30 from x-direction