3 m. A solid steel core is tightly inserted in aluminium tube and it is welded at B. Concentrated torque of magnitude 7.

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3 M A Solid Steel Core Is Tightly Inserted In Aluminium Tube And It Is Welded At B Concentrated Torque Of Magnitude 7 1 (37.76 KiB) Viewed 54 times

3 M A Solid Steel Core Is Tightly Inserted In Aluminium Tube And It Is Welded At B Concentrated Torque Of Magnitude 7 2 (38.3 KiB) Viewed 54 times

3 M A Solid Steel Core Is Tightly Inserted In Aluminium Tube And It Is Welded At B Concentrated Torque Of Magnitude 7 3 (38.43 KiB) Viewed 54 times

3 m. A solid steel core is tightly inserted in aluminium tube and it is welded at B. Concentrated torque of magnitude 7.5 kNm is applied at the free end 4 of the steel core shaft. Knowing that the modulus of rigidity, G is 77.2 GPa for the steel and 27 GPa for the aluminium. The outer diameter of the core and tube are 30 mm and 50 mm, respectively Determine: a) Free body diagram of shaft for sections AB and BC b) The torque developed in the steel core, Tand aluminium tube, Tfor section BC c) The maximum shearing stress, for the aluminium tube d) The angle of twist, o in degree at A and B with relative to C Figure Q1 shows a shaft AB (modulus of rigidity G-30 GPa) with a total length of 1270 mm that is fixed at both ends. Section 4C is solid with a diameter of d. = 70 mm, while CB is a bollow section with an internal diameter of d-55 mm. An external torque To-5 kN.m is applied at point D (a) Determine the magnitude of the reaction torques at both supports if the distance x-755 mm (b) What is the maximum angle of twist, and where does it occur? -635 mm Figure Q2(a) shows a simply supported T-beam ABC. It is subjected to a vertical point load, P-8 kN at point and a uniformly distributed load, w-2 kN/m along ABC. The beam cross-section is shown in Figure Q2(b). a) Determine the maximum tensile and compressive bending stresses in the beam b) Consider at section a-a, calculate the transverse shear stress at point E. t. e) Explain why transverse shear stress at point F is zero FUN
Two orientations of a I m length cantilever beam are to be considered as shown in Figure Q2(a) The beam is loaded with a uniformly distributed load w. The dimensions of the cross-section are shown in Figure Q2(b). (a) Choose the orientation that will support the highest amount of w if the allowable bending stress (in tension and compression) is 250 MPa. (b) Based on the chosen orientation and the value of w from Question 2(a), determine the maximum transverse shear stress Figure Q3 shows a propped cantilever beam ABCD with a roller support at A, carrying a point load at B and subjected to a uniformly distributed loading from point B to C. Given El- 2250 kNm: by using Macaulay's method and point 4 as the origin: a) Develop the slope and deflection equations (4 marks) b) Determine the value of slope at end 4 (2 marks) c) Determine the value of deflection at point C(2 marks) d) Reaction forces at point A and D (2 marks) SAN 2 As shown in Figure Q3, a beam ABC is fixed at 4 and roller supported at C. The beam is used to support a uniform load, w=5 kN/m along span 48 and a couple. M-2 kN.m at B (a) Determine whether the state of the beam is statically indeterminate or statically determinate (b) Without doing any calculation, sketch the beam's elastic curve and identify the boundary conditions at the supports. By using Macaulay's method and point A as reference, (e) Derive the slope and deflection equations for the beam (d) Determine the slope and deflection at Bin terms of EI. Raja psy 15m M-2AN
A bracket ABCD shown in Figure Q4 (a) with its dimension illustrated in Figure Q4 (b). Figure Q4 (c) shows the location of points M from section a-a and N from section b-b in the cross-section. Determine the state of stress at points M and N, and subsequently draw the stress elements at these points. If the A-36 solid steel rod has a diameter of 50 mm and has been loaded with loadings as shown in Figure Q4, determine the state of stress at point A and B and subsequently sketch their stress elements. 150 200 Nm 500 N 100 Figure Q4(a) Rajah 4) 200 Figure Q4by Rajah 54(b) Figure Q4(y Rajah 54(c) (Planview) i