A uniform beam ABCD weighing 510 kg and pin-supported at A carries a uniformly distributed load of intensity 20 kN/m over the entire length as shown in Figure Q1. In addition, a 40 kN load is suspended at point C and a couple of 50 kNm is applied at end D. A cable, continuous over a frictionless pulley at E, is attached to the beam at points B and D to keep the beam in the position shown. If acceleration due to gravity g = 9.81 m/s², a) Draw the free-body diagram of the beam and calculate the tension in the cable. b) Determine the possible reactions at support A. c) Draw the free-body diagram of the pulley and determine the reactions at pin E. A B 0.9 m 12 3 20 kN/m 40 kN * 1.5 m 0.6 m Figure Q1 50 kNm QUESTION 2 The loaded truss system shown in Figure Q2 is pin-supported at joint A and supported on a roller at joint M. a) Determine the support reactions A and M. b) Identify the zero force members in the truss. c) Determine the forces in members GF, GI, FI, JL and LM. Indicate in each case whether the member force is tensile or compressive. 2 m 10 kN H F 10 kN > I 2 m 25 kN 50 kN 50 kN B LC ᎫᎠ E 10 kN 2 m A 2 m N M P 2 m 2 m 2 m 2 m Figure Q2 25 kN Ук QUESTION 3 The rigid beam ABC is loaded as shown in Figure Q3. The beam is pin-supported at C and suspended in the horizontal position at B by the bar BD which is pinned at end D. If the beam is in equilibrium, 100 N A 2 m 30 N/m 55° Figure Q3 3 m a) Draw the free body diagram of the beam ABC. b) Determine the force in bar BD and indicate its sense. c) Calculate the support reactions at support C. UNIVERSITY OF BOTSWANA FACULTY OF ENGINEERING AND TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING Assignment #1 CCB 232 - Engineering Mechanics 1: Statics Issue Date: Friday, 4 Oct. 2024 Due Date: Tuesday, 8 Oct. 2024 Instructions: Answer ALL questions. QUESTION 1 A uniform beam ABCD weighing 510 kg and pin-supported at A carries a uniformly distributed load of intensity 20 kN/m over the entire length as shown in Figure Q1. In addition, a 40 kN load is suspended at point C and a couple of 50 kNm is applied at end D. A cable, continuous over a frictionless pulley at E, is attached to the beam at points B and D to keep the beam in the position shown. If acceleration due to gravity g = 9.81 m/s², a) Draw the free-body diagram of the beam and calculate the tension in the cable. b) Determine the possible reactions at support A. c) Draw the free-body diagram of the pulley and determine the reactions at pin E. 0.9 m B E 12 3 20 kN/m 40 kN 1.5 m 0.6 m Figure Q1 50 kNm QUESTION 2 The loaded truss system shown in Figure Q2 is pin-supported at joint A and supported on a roller at joint M. a) Determine the support reactions A and M. b) Identify the zero force members in the truss. c) Determine the forces in members GF, GI, FI, JL and LM. Indicate in each case whether the member force is tensile or compressive. * 2 m 10 kN- F 10 kN > 2 m 25 kN 50 kN 50 kN VB ᎫᎠ E 10 kN 2 m A H I P N M 2 m 2 m 2 m 2 m 2 m Figure Q2 25 kN УК QUESTION 3 The rigid beam ABC is loaded as shown in Figure Q3. The beam is pin-supported at C and suspended in the horizontal position at B by the bar BD which is pinned at end D. If the beam is in equilibrium,