The beam is supported by a pin at B and a roller at C and is subjected to the loading shown with w=135 and a.) If M-4,620 ft-lb, determine the support reactions at B and C. Report your answers in both Cartesian components. b.) Determine the largest magnitude of the applied couple M for which the beam is still properly supported in equilibrium with the pin and roller as shown. 2013 Michael Sabom 030 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 2.6 ft 6.4 ft 4 ft a b W a.) The reaction at Bis B- The reaction at Cis C- b.) The largest couple that can be applied is M 3 lb. lb. ft-lb.

The beam is supported by a pin at B and a roller at C and is subjected to the loading shown with w=135 and a.) If M-4,620 ft-lb, determine the support reactions at B and C. Report your answers in both Cartesian components. b.) Determine the largest magnitude of the applied couple M for which the beam is still properly supported in equilibrium with the pin and roller as shown. 2013 Michael Sabom 030 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 2.6 ft 6.4 ft 4 ft a b W a.) The reaction at Bis B- The reaction at Cis C- b.) The largest couple that can be applied is M 3 lb. lb. ft-lb.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The bent rod in Fig. a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at B by means of cable BC. Using only one equilibrium equation, obtain a direct solution for the tension in cable BC. The bearing at A is capable of exerting force components only in the z and y directions since it is properly aligned on the shaft. In other words, no couple moments are required at this support. 1m B. 0.5 m Free-Body Diagram. As shown in Fig. b, there are six unknowns 05 m Equations of Equilibrium. The cable tension Tg may be obtained directly by summing moments about an axis that passes through points D and A. Why? 00 kg (a) Since the moment arms from the axis to T, and W are easy to obtain, we can determine this result using a scalar analysis. As shown,Fig. b EMDA = 0; Tạ(1 m sin 45°) – 981 N(0.5 m sin 45°) = 0 T = 490.5 N 0.5 m W 981 N 05 m D, (b)
The vertical reaction at A is closest to: A. 200 kN B. 300 kN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces) The vertical reaction at B is closest to: A. 200 kN B. 300 kN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces)
The compound beam is supported by a roller at point C, fixed at point A, and the two sections are pinned at point B. It is subjected to a free couple moment M, a distributed load with maximum load intensity w, and a concentrated force F. If the distributed load w = 0.6 kN/m, the concentrated force F = 0.6 kN, and the free couple moment M = 0.8, determine the magnitude of the support reaction (in kN) at pin B. Answer must include 2 places after the decimal point.
2. The spherical steel weighs 15 kN with a diameter of 6 m. The lengthof distance AB is 8 m.Determine the following:a.) The Tension at Point A.b.) The Reaction at Point B.
A 10-m uniform beam of weight 100 N is supported by two ropes at its ends. If a 400-N person sits at the center of the beam, what is the tension in the right rope?
Q.3) A cylinder weighing 600 N is supported by a pin-connected two-bar frame. Determine the forces exerted on the cylinder by the contacting surfaces. Also, find the reactions at support A and C. 0.2 m 4 0.3 m B 3 0.2 m C 0.4 m 0.4 m
For the following question, choose the correct answers Section Determine the components of the support reactions at the fixed support A on the cantilevered beam. 6 kN 30° 30° 1.5 m A 1.5 m 1.5 m- 4 kN =The x component of the reaction at A is Ax 8.46 kN 3.46 kN -9 kN -3.46 kN O
The bent rod in Fig. a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at B by means of cable BC. Using only one equilibrium equation, obtain a direct solution for the tension in cable BC. The bearing at A is capable of exerting force components only in the z and y directions since it is properly aligned on the shaft. In other words, no couple moments are required at this support. 1m B 0.5 m .Free-Body Diagram. As shown in Fig. b, there are six unknowns 0.5 m Equations of Equilibrium. The cable tension Tg may be obtained directly by summing moments about an axis that passes through points D and A. Why? 100 kg (a) Since the moment arms from the axis toTg and W are easy to obtain, we can determine this result using a scalar analysis. As shown, Fig. b EMDA = 0; TR(1 m sin 45°) – 981 N(0.5 m sin 45°) = 0 ATB T = 490.5 N B IB 45°- 0.5 m W = 981 N TE Dy 0.5 m Ip. (b)
3.1 A uniform horizontal beam has a length of 8 m and mass of 500 kg. The beam rests on two supports overhanging one by a distance x while the other is at the extreme right-hand end. The loading is 5 tonnes at the left-hand end, 6 tonnes at the mid-point of the beam and 7 tonnes 1 metre from the right-hand end. Determine the value of x if the reaction at the left-hand support is to be twice that at the right-hand support.- Show free-body-diagram and all your workings.
The bent rod in Fig. a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at B by means of cable BC. Using only one equilibrium equation, obtain a direct solution for the tension in cable BC. The bearing at A is capable of exerting force components only in the z and y directions since it is properly aligned on the shaft. In other words, no couple moments are required at this support. 1m B 0.5 m E .Free-Body Diagram. As shown in Fig. b, there are six unknowns 0.5 m Equations of Equilibrium. The cable tension Tg may be obtained directly by summing moments about an axis that passes through points D and A. Why? 100 kg
In the given beam, determine the following: 60 Ib/ft 120 lb 60 20 lb/ft 3 ft 6 ft 6 ft The horizontal reaction at Ais closest to: A. 60 kN (left) B. 103.923 kN (left) C. 103.923 (right) D. 60 kN (right) Answer: (write the answer in capital letter, no period or spaces) The vertical reaction at A is closest to A. 200 kN B. 300 kN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces) The vertical reaction at B is closest to: A. 200 kN B. 300 kN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces)