Determine the force in members EF, FC, BC, and CE of the truss and state whether these members are in tension or compre
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Determine the force in members EF, FC, BC, and CE of the truss and state whether these members are in tension or compression.
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- In your response, please display the full computation and all FBDs that were used. Only round off at the final answer with 4 decimal places. P=2kN, F=3kN, and moment M=0.5kN-m are acting on the structure in the illustration. A pin at Z and a cable RQ connected by a connecting pin R support it. Im ● F ● P S TO M Im R lu W OZ a' 0.8m 3m If the pin support Z's factor of safety against shear stress is 3, determine whether a single or double shear should be provided for an economical and safe design. 4 m The mas allowable shear stress in the pin is 50MPa. Consider the following specifications. Single shear design: 25mm pin diameter Double shear design: 17mm pin diameter2:56 90 0t O 22 classroom.google.com/u/ 8 ميكانيك هندسي sOi Jbls ara A prybar in used to remove a nail an shown. De termine the moment of the 240-N foree about the point O of contact between the prybar and the small support block P30N 16m 240 N 350 mm PROBLEM 3/s a A man esertaa farce Fon the handle of the stationary wheelbarruw at A. The weight of the wheelburrow along with ita load of dirt is t85 Ib with center of gravity at G. For the eonfiguration shown, what fore F muat the man apply at A to make the net moment about the tire contact pint equal to er 30 mm PROBLEM 2/33 Representative Problems 34 An everhead view of a door ia shwwn. If the com presnive foree F acting in the ceupler arm of the hy draulic door closer ia 17 Ih with the orientation ahown, determine the mement of this force about the hinge axis O PROBLEM 2/36 aT A 150-N pul Tin applied te a cord, which is wound ecurely around the inner hub of the drum Determine the moment ef T about the drum eenter C. At what angle e…Q1-B- Draw just the Free Body Diagram of the following figures. 30 kN/m C - 3 m - 3 m --- 4 kN/m - 3 m 8 kN/m 4 m 10 kN/m 2 kN/m سال آینده ¡N/m 80 kN/m
- F1 F2 a F3 A d b C F4 E Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° , 0 = 45° ß = 60° 4] What is the resultant moment of the five forces acting on the rod ut point D? 51 What is the moment of the force F2 about point E? 6] What is the resultant moment of the five forces acting on the rod about point E?F1 F2 a F3 A d. F4 E Consider the following values: - a = 11 m; b = 6 m; c = 8 m; d = 3 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 KN; F4 = 20 kN; F5 = 2 kN; F5 a = 30° , 0 = 60° ,B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) -1.2 kN.m b) 12.7 kN.m c) - 4.6 kN.m d) 22.9 kN.m e) - 14.1 kN.m f) 21.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 28.8 kN.m b) 42.7 kN.m c) - 1.6 kN.m d) 10.9 kN.m e) - 1.1 kN.m f) 24.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 63.6 kN.m b) -11.1 kN.m c) 77.4 kN.m d) - 9.1 kN.m e) 24.1 kN.m f) - 85.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 33.6 kN.m b) 83.4 kN.m c) - 1.6 kN.m d) 52.1 kN.m e) 21.1 kN.m f) - 40.1 kN.m 5] What is the moment of the force F2 about point E? a) 80.6 kN.m b) - 8.1 kN.m c) 54.6 kN.m d) 33.1 kN.m e) - 22.1 kN.m f) 28.3 kN.mCompare the magnitudes of the equilibrant vectors measured from the experiment with those obtained from the graphical and component methods. Example: A: 200 g 60° above +x axis B: 300 g 45° above -x axis C: 400 g 30°below -x-axis A, A cos a = 1.96 N x cos 60° = 0.98 N B₂B cos b = 2.94 N x cos 135º = -2.08 N C, C cos g = 3.92 N x cos 210°= -3.39 N R₂-A, + B + C₂ = -4.49 N A, A sin a = 1.96 N x sin 60° = 1.70 N By B sin b = 2.94 N x sin 135º = 2.08 N C, C sin g = 3.92 N x sin 210° = -1.96 N Ry= Ay+ By + Cy = 1.82 N Questions: I: (a) A: 200 g along +x axis B: 100 g 45° above -x axis A₂ = A cos a = B₂ =B cos b = R₂-A₂+ B₁₂= A₂ = A sin a = B, = B sin b = R₂ = A + B₂ = R=(R₂. R₂):_ Quadrant R = √ (R₂²+R₂²) = Direction:q=tan [R, /R.] (c) A: 100 g along -y axis B: 200 g along -x axis A = A cos a = B = B cos b = R₂-A₂+ B₂ = A = A sin a = B, B sin b = R=A, +B₂ = R=(R₁, R₂): Quadrant R = √ (R₂²+R₂²) = Direction:q tan¹ [R, /R]
- F1 F2 F3 A B d b F4 D F5 Consider the following values: - a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 - 6 kN; F2 - 7 kN; F3 = 8 kN; F4 - 9 kN; F5 - 10 kN; a = 30°, 0 = 45° , B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 154.8 kN.m b) 111.9 KN.m c) - 174.6 kN.m d) 162.9 kN.m e) 214.1 kN.m 0-47.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? | a) - 209.3 kN.m b) 215.7 kN.m c) 311.6 kN.m d) - 98.9 kN.m e) 125.4 kN.m f) - 124.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 204 kN.m b) 121 kN.m c) 146 kN.m d) - 279 kN.m e) 241 kN.m D- 353 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) – 212.7 kN.m b) 182.7 kN.m e) - 21.9 kN.m d) 36.9 kN.m e) - 27.1 kN.m ) 30.1 kN.m 5] What is the moment of the force F2 about point E? a) 100.3 kN.m b) 118.1 kN.m c) 224.6 kN.m d) 193.1 kN.m e) 151.1 kN.m ) 221.3 kN.m E.A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.F1 F2 a F3 A B d b F4 Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30°, 0 = 45° , B = 60° 4] What is the resultant moment of the five forces acting on the rod about point D? c) 71.6 kN.m f) None of them a) 37.6 kN.m b) 73.8 kN.m d) 52.1 kN.m e) 21.1 kN.m 5] What is the moment of the force F2 about point E? a) 90.7 kN.m b) - 88.1 kN.m c) 54.6 kN.m d) 103.1 kN.m e) 100.7 kN.m f) None of them 6] What is the resultant moment of the five forces acting on the rod about point E? a) 28.8 kN.m b) – 85.4 kN.m c) 111.6 kN.m d) 90,9 kN.m e) 85.4 kN.m f) None of them
- 3 degree indeterminate Replace both 10KN with 101 KNF1 F2 a F3 A B d b F4 Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° , 0 = 45° , B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 111.6 kN.m b) 112.6 kN.m c) - 184.6 kN.m d) - 109.6 kN.m e) - 104.1 kN.m f) None of them 2] What is the resultant moment of the five forces acting on the rod about point B? a) -95.8 kN.m b) 42.7 kN.m c) 80.9 kN.m d) 10.9 kN.m e) 51.8 kN.m f) None of them 3] What is the resultant moment of the five forces acting on the rod about point C? a) 32.6 kN.m d) - 16.5 kN.m f) None of them b) - 21.1 kN.m c) 17.4 kN.m e) 15.6 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 37.6 kN.m b) 73.8 kN.m c) 71.6 kN.m d) 52.1 kN.m e) 21.1 kN.m f) None of them 5] What is the moment of the force F2 about point E? a) 90.7 kN.m b) - 88.1 kN.m c) 54.6 kN.m d) 103.1 kN.m f) None of them e) 100.7 kN.m 6]…Dimensions and dimensions in the system given in the figure: L1 = 850 mm; L2 = 1700 mm; L3 = 2400 mm; U4 = 3100 mm m1 = 2 kg; m2 = 3 kg; m3 = 4 kg R1 = 1135 mm; R2 = 820 mm; R3 = 1040 mm θ1 = 113o; 2 = 50o; θ1 = 250o Find in mA, RA, θA and mB, RB, θB required to achieve dynamic balance?