(MAULANA AZAD NATIONAL INSTITUTE OF TECHNOLOGY, Bhopal.) DEPARTMENT OF MECHANICAL ENGG B. Tech Semester- IV Year- 2 S.No 1. Course- Machine Design-1 Course Code-ME 221 Assignment Number- 1 “Machine Design Fundamentals” Question The drawing represents a bicycle with an 800-N rider applying full weight to one pedal. Treat this as a two-dimensional problem, with all components in the plane of the paper. Draw as free bodies in equilibrium (a) The pedal, crank, and pedal sprocket assembly. (b) The rear wheel and sprocket assembly. (c) The front wheel. (d) The entire bicycle and rider assembly 2. The cantilevered bracket shown is acted on by a 200 N force at location E and a 300 N force at location C. Calculate the internal loads acting in segment AB, BD, BE, and CD (Axial, Torsion, Bending, Transverse shear). 3. The cantilevered bracket shown is acted on by loads at locations B, C, and D. [i] The internal loads acting in segment AB are (select all that apply): (a) Axial (b) Torsion (c) Bending (d) Transverse shear [ii] The internal loads acting in segment BC are (select all that apply): (a) Axial (b) Torsion (c) Bending (d) Transverse shear [iii] The internal loads acting in segment BD are (select all that apply): (a) Axial (b) Torsion (c) Bending (d) Transverse shear 4. Figure shows the gear reduction unit and propeller of an outboard motor boat. It is attached to the boat structure at the mounting flange at the top. The motor is mounted above this unit, and turns the vertical shaft with a torque of 20 Nm. By means of bevel gearing, this shaft turns the propeller at half the vertical shaft speed. The propeller provides a thrust of 400 N to drive the boat forward. Neglecting gravity and friction, show all external loads acting on the assembly shown. (Make a sketch, and show moments applied to the mounting flange using the notation suggested in the drawing.) 5. A cantilevered tube is made of an aluminum alloy with Syt=276 MPa. The applied loads are F =1.75 kN, P=9.0 kN, and T =72 Nm. The outer diameter of the tube is 50 mm and the inner diameter is 45 mm. The cross-sectional area is 3.73 cm2, I=10.55 cm4, and J =21.1 cm4. Determine: (a) The critical element(s) of the tube. (b) Show the state of stress on a stress element for each critical element.
