CIVE 210 Exam, Spring 2007

=Ey N UNIVERSITY OF BEIRUT a EO EEA AMERICA , . : CIVE 210 STATICS . : 4 EXAMI: 8:00-9:30 AM |. - : eo Mar 29, 2008 4 Spring 2007-2008 : . . Professor: FOUAD KASTI 4 Student Name: 7 . Student ID: Problem1(30%): A single weightless piecewise cable ABCDE is hinge supported at A and E as shown. The cable is loaded with vertical concentrated forces Fy-(down) at B, 100N (up) at C and Fy (down) at D as shown. Assuming geometry as shown, draw Free Body Diagram(s), and compute the tension forces in cable segments AB, BC, CD and DE as well as the applied forces F, and Fy required for equilibrium. Problem I (35%): A rigid, homogeneous, weightless and uniform bar ABC is roller supported at A against a vertical wall, roller supported at C against a horizontal surface, connected to a rigid weightless cable OB and to a spring CD of spring stiffness K=100N/cem. Assume a 100N force F is applied at point A oriented at an angle a to the horizontal direction. Assume roller support at A is barely touching the vertical wall, cable OB is hinged at O, frictionless and dimensionless roller supports, « 60° and 8 = 30°. Assume AB = BZ = OB = [Dem, draw Free Body Diagram(s). Compute reactions.at Aldhd dhe force in cable OB! Snd the forcdfSlongatio in spring CD. Probiem I 8 Keg) SFO Ty S18 0.87 eee T 8 Eze seoetObay [neg THO Tee fost RGhiEntesses For the three dimensional system shown, draw Free Body Diagram(s) and compute the tension forces in cables * AB and AC as well as the compression force in bar AO. Assume F is a vertical force of magnitude 150N. Assume weightless system. Use Cartesian Formulation. ; “; (3.0.9) B (o,-».78,1) C (6, 1, 1.5) ye, et3 Teor. Asa” 3.05 Bree we . — srg e% YS =e 1 — &