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A truss is loaded as shown in Fig. P12.22. Using the following set of equations, solve for the 10 unknowns: AB, BC, AD, BD, CD, DE, CE,
FIGURE P12.22
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Chapter 12 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- + Space Trusses Learning Goal: To analyze the forces within space truss members and the reaction forces that act on space trusses. A space truss is a stable three-dimensional structure that consists of members joined at their ends. If the external loading is applied at the joints, and the joints are ball-and-socket connections, the members of a enaro trice may ha traatad ac tun-force membere Figure 0.50 m- 1.50 m 1.50 m 0.50 m B D < 2 of 2 2.00 m Farrow_forwardThe Simple Pendulum A H M Sketch a graph to show the predicted relationship. 2² H Task 8 In your group, discuss how to derive an equation to relate the initial pendulum height H to the bob's v 2 at its lowest point. Show the derivation of the equation. Then, again, use your theoretical equation to calculate the expected (theoretical) slope. Use g = 9.79 ± 0.05 m/s2 expected change in the bob's kinetic energy and the expected change in the bob's potential energy during this motion? released from rest and moving from a high position to its lowest positionarrow_forward11:EYI | %OV K/s ".ill 6,l chegg.com/homework-h Question: 4.] DeterMINe The Values Of The Angles A And So That The Forces Shown I... 4.] Determine the values of the angles a and e so that the forces shown in the given figure will be in equilibrium. 20 lb 40 lb 30 lb Show transcribed image text Evnert Answer @ 6 100%. This problem has been solved! See the answerarrow_forward
- Question 16 ABC Question 16 Jennifer watched as movers used a ramp to load a heavy dresser into a moving truck. The dresser, that had to be lifted 1.5 m from the street to the back of the moving truck, was pushed along a 6.6 m ramp. What is the mechanical advantage of the ramp? A 2.98 B 3.06 4.0 D 4.4 ©20 Illuminate EducationTM, Inc. O Time Remaining: 40 minutes 四 O9 0 1:08 hp SC DI @ # 2$ 2 3 4 5 7 8. 9.arrow_forwardMaterial steel on steel aluminum on steel copper on steel rubber on concrete wood on wood glass on glass waxed wood on wet snow waxed wood on dry snow metal on metal (lubricated) ice on ice teflon on teflon synovial joints in humans Static Kinetic 0.74 0.57 0.61 0.47 0.36 0.53 1.0 0.8 0.2 0.4 0.1 0.25-0.5 0.94 0.14 0.04 0.15 0.06 0.1 0.03 0.04 0.003 0.04 0.01 14. Synovial joints, like knees and hips, are sometimes replaced with artificial joints (like in knee replacement surgery). What frictional idea must the designers of these joints keep in mind when creating artificial joints? (Your answer should obviously connect to the provided table.)arrow_forward25.81 kN/m 25 m B Determine the distance of the lowest of the cable from the support "A". Distance = Blank 1 meters Blank 1 Add your answer Determine the minimum tension in the cable. T= Blank 1 kN Blank 1 Add your answer Determine the tension at the right support of the cable T= Blank 1 kN Blank 1 Add your answer Using exact formula, determine the total length of the cable. L = Blank 1 meters Blank 1 Add your answer 10 marrow_forward
- 14:40 Two forces are applied to a hook. Variable F₁ F₂ a b C с d B d Value 70 lb 30 lb 2.5 ft 5 ft ZA 10 ft 2.5 ft wamap.org 13 resultant force FR i. α ii. B iii. y C 12 Values for the figure are given in the following table. Note the figure may not be to scale. a b F₂ F₁ A y a. Write each force (F₁,F₂) as cartesian vectors. → b. Find the resultant force FR, express as a cartesian vector c. Find the magnitude of the resultant force FR d. Determine the coordinate direction angles of thearrow_forwardDraw and discuss the FBD for the following system. • Label all forces and directions. How many unknowns are there? (Remember, an unknown does not have to be a force. It can also be a dimension, angle, etc.) • How many equilibrium equations can you create? • Is there enough information to solve for the unknowns? Explain. ● Draw pulley A as your particle. B 20° A 100 N Farrow_forwardA truss system is illustrated below. An externally applied force F has a magnitude of 1855 N, and is oriented at an angle θ of 30.0° from the vertical axis, as shown in the illustration. The lengths of each truss are shown. a. Solve for the magnitude and direction (type) of all unknown internal truss forces, as well as any external reaction forces. b. Construct a neat, clear data table to summarize the results of your force magnitude and force direction calculations.arrow_forward
- Q1. As shown in the image below, the force acting on the box is F = (C · s²) Determine the work done by force F to the box when the box has displaced s = 1.7 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit. N, where constant C = 6 and s is displacement in m. S F -arrow_forward8. Consider a cantilever viewing platform extending over the rim of a cliff as shown below. In an unsafe situation, the platform would pivot about the cliff's edge. Without fixing bolts, what is the maximum mass capacity m of the platform? R= x -x mg The following quantities are assumed known: L (m), M (kg), m (kg), and x (m). The gravity force Mg acts in the middle of the platform. The platform thickness can be neglected. The ground force N is vertical but has unknown magnitude. In the limiting case where the platform starts to pivot about the cliff's edge, d = 0. (a) Find the magnitude of N in the safe situation using the fact that the net force exerting on the platform is zero (equilibrium of forces). (b) Write the moments of force about the cliff's edge for all the forces shown in the figure in the safe situation where d > 0. (c) Find the maximum mass capacity m for which the platform becomes unsafe using the fact that the net moment exerting on the platform is zero (equilibrium of…arrow_forwardMath, 11.11.2020 07:15, kateclaire The force-deflection relation of a steel helical spring used in an engine is found experimentally as f(x) = 200x+50x2 +10x3 where the force (f) and deflection (x) are measured in pounds and inches, respectively. If the spring undergoes a steady deflection of 0.5 in. during the operation of the engine, determine the equivalent linear spring constant of the spring at its steady deflection.arrow_forward
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning