Question 1: SEMM 2123 Solid2 Sem2 2020/21 1a). Draw the Mohr Circle for critical point of, i) A rod under pure compressive load ii) A rod under pure moment (Imark) 1b). Figure Q1 shows one 'L' shaped beam ACD which is built-in at one end. It is loaded with load F=3 kN and with load P= 2.8kN at its free end D. The beam has solid round cross-section with diameter of 100 mm. The beam is made of steel with E= 210 GPa and y= 0.3. By disregarding the shear stress due to shear load and using point A as the critical point to be analyzed. i) ii) iii) Calculate the respective stresses values and draw the stress element at point A in the x-y direction. Calculate and draw the principal stress element. Calculate and draw the maximum shear stress element. Z --B 400 mm A D F = 3 kN P = 2.8 kN y 500 mm Figure Q1 Z (5 marks) 1c) If a strain gauge is fixed at point A at -30 degrees from the x-direction, calculate (2 marks) its value. 1d) If you were to compare point A and point B, which one is more critical? How (2 marks) would you decide ? CS Scanned with CamScanner Question 2: SEMM 2123 Solid 2 Sem 2 2020/21 b) If an element is subjected to e, ny and ry, what are the corresponding Ex. Ey and (1 mark) A cantilever beam, shown in Fig 2a, is subjected to vertical force P. A strain rosette is bonded at point A in the orientation shown in Fig. 2b. The material properties are E-200 GPa, G = 80 GPa and v = 0.3. If the recorded strain rosette readings are = +320, &v +8 and = +8, find the following: iv. The state of strain at point A in x-y direction and sketch the strain element. (2marks) The principal strain at point A and sketch the corresponding strain element. (2marks) The maximum in-plane shear strain at point A and sketch the corresponding strain element. (2marks) Does the absolute maximum shear strain at point A occurs in-plane or out-of- plane? The magnitude of force P. (1mark) (2marks) 200 1500 -- Eb 800mm Ea 120 120 150mm &c 150mm P T Fig. 2a Fig. 2b CS Scanned with CamScanner