Page 1 of 6 HW1 Due by: 11:59 PM on Monday, May 2, 2022 200 POINTS INSTRUCTIONS: • There are a total of 18 questions. • Everyone needs to work individually and upload the solution to canvas as a PDF....

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Page 1 of 6 HW1 Due by: 11:59 PM on Monday, May 2, 2022 200 POINTS INSTRUCTIONS: • There are a total of 18 questions. • Everyone needs to work individually and upload the solution to canvas as a PDF. • Answer each question in an organized and orderly format. • Write neatly and clearly. • Making a suitable assumption while solving a problem is fine. However, please make sure to clearly mention it in the solution. 1. Convert 1,700 lb.ft to appropriate SI units (10 Points). 2. Evaluate each of the following and express with SI units having an appropriate prefix (10 Points): a. (16,000 mN)(17 GN) b. (1,800 mm)(0.57 MN)2 3. The screw eye in the below figure is subjected to two forces F1 and F2. Determine the magnitude and direction of the resultant force (10 Points). 100 N Adr Marr Page 2 of 6 4. Determine the x and y components of F1 and F2 acting on the boom shown in the figure below. Express each force as Cartesian vector (10 Points). 5. Determine the magnitude and the coordinate direction angles of the resultant force acting on the ring as shown in the figure below (10 Points). 6. For each of the figure below, determine the moment of the force about point O (15 Points). 7. Determine the moment produced by the force F in the Figure below about point O. Express the result as a Cartesian vector (10 Points). 150 N {-25j-50k} lb 20 kN 20 kN 20 ft 20 m Page 3 of 6 8. The sphere in Fig. has a mass of 18 kg and is supported as shown. Draw a free- body diagram of the sphere, the cord CE, and the knot at C (10 Points). 9. Determine the tension in cables BA and BC necessary to support the 190-kg cylinder in the figure below (10 Points). 10. Determine the force in each member of the truss shown below and indicate whether the members are in tension or compression (10 Points)? 11. Determine the forces acting in all the members of the truss shown in the Figure and indicate whether the members are in tension or compression (10 Points). 50 degrees 70 degrees 1,500 N 2.7 m 3.2 m 40 degrees 15 kN 5 m Page 4 of 6 12. Determine the force in each member of the truss shown in the Figure and indicate whether the members are in tension or compression (15 Points). 13. Determine all the zero-force members of the roof truss shown in the Figure (10 Points). 14. Determine the resultant internal loadings acting on the cross section at C of the cantilevered bean shown in the Figure (20 Points). 15 kN 16 kN 1,200 N/m 18 32 m 500 N 5 m Page 5 of 6 15. A uniform A-36 steel bar is shown in Figure below has a diameter of 80 mm and is subjected to the loading shown. Determine the displacement at D, and the displacement of point B relative to C (10 Points). 16. A solid shaft and tube shown in Figure are made of a material having an allowable shear stress of 95 MPa. Determine the maximum torque that can be applied to each cross section, and show the stress acting on a small element of material at point A of the shaft, and points B and C of the tube (10 Points). 17. The assembly shown in Figure consists of an aluminum tube AB having a cross sectional area of 400 mm2. A steel rod having a diameter of 10 mm is attached to a rigid collar and passes through the tube. If a tensile load of 200 kN is applied to the rod, determine the displacement of the end C of the rod. Take Est = 200 GPa, Eal = 70 GPa (10 Points). 95 MPa 200 kN Page 6 of 6 18. The 1.5-in.-diameter shaft shown in Figure below is supported by two bearings and is subjected to three torques. Determine the shear stress developed at points A and B, located at section a-a of the shaft (10 Points). 40 kip.in. Final Exam Due by: 11:59 PM on Monday, May 2, 2022