EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 12, Problem 16P
Civil/Environmental Engineering
Calculate the forces and reactions for the truss in Fig. 12.4 if a downward force of 2500 kg and a horizontal force to the right of 2000 kg are applied at node 1.
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A. Problem Solving
Instruction: Read each problem carefully and calculate all required. Show
your complete, clean and correct solution and figures.
Draw deformed shape for the truss members given below under the effect of
compression/tension. Which one is superior to the other and why? Explain.
Compression
Tension
Warren truss and a series of moving loads are shown in Figure 2. Assuming the loads can travel in either direction along the center of the truss.
i) Draw the influence line for the force in member FC.
ii) Calculate the maximum force (tension or compression) that can develop in member FC due to series of moving loads which acts along the bottom chords of the truss.
Chapter 12 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 12 - Chemical/Bio Engineering
12.1 Perform the same...Ch. 12 - Chemical/Bio Engineering If the input to reactor 3...Ch. 12 - Chemical/Bio Engineering Because the system shown...Ch. 12 - Chemical/Bio Engineering
12.4 Recompute the...Ch. 12 - Chemical/Bio Engineering Solve the same system as...Ch. 12 - Chemical/Bio Engineering
12.6 Figure P12.6 shows...Ch. 12 - Chemical/Bio Engineering
12.7 Employing the same...Ch. 12 - Chemical/Bio Engineering The Lower Colorado River...Ch. 12 - Chemical/Bio Engineering A stage extraction...Ch. 12 - Chemical/Bio Engineering
12.10 An irreversible,...
Ch. 12 - Chemical/Bio Engineering
12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering
12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering
12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering
12.22 A truss is...Ch. 12 - Electrical Engineering
12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering
12.25 Solve the circuit in...Ch. 12 - Electrical Engineering
12.26 An electrical...Ch. 12 - Electrical Engineering
12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering
12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering
12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering
12.40 A rod on a...
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- A truss is designed to carry loads using five members as shown in figure Q.22. Estimate the values of: a) forces Ay and Cy from the supports and b) forces in members AB and AC. Take F1- 75 N and F2- 85 N. F1 F2 -3 m- B D 4 m A -6 m C,arrow_forwardExample 8.6 A Weighted Forearm Goal Apply the equilibrium conditions to the human body. -Humerus Problem A W = 47.3 N (11 lb) weight is held in a person's hand with the forearm horizontal, as in Figure 8.11. The biceps muscle is attached d = 0.0302 m from the joint, and the weight is / = 0.351 m from the joint. Find the upward force F exerted by the biceps on the forearm (the ulna) and the downward force R exerted by the humerus on the forearm, acting at the joint. Neglect the weight of the forearm. W Biceps Ulna W (a) (b) Figure 8.11 (a) A weight held with the forearm horizontal. (b) The mechanical model for the system. Strategy The forces acting on the forearm are equivalent to those acting on a bar of length 0.351 m, as shown in Figure 8.1lb. Choose the usual x- and y-coordinates as shown and the axis O on the left end. (This completes Steps 1 and 2.) Use the conditions of equilibrium to generate equations for the unknowns, and solve. Solution ET; = TR + TF + TBB = 0 R(0) + F(0.0302…arrow_forwardThe drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 0 = 41° by a brace that is attached to a pin. The beam has a weight of 344 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle 0 with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component Hand a vertical component V. Find the magnitudes of these three forces. Вeam Hinge Pin Bracearrow_forward
- The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 0 = 36° by a brace that is attached toa pin. The beam has a weight of 334 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle 0 with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find the magnitudes of these three forces. Hinge Beam Pin Brace (a) V =i (b) P = i (c) H =arrow_forwardFind the forces in each members of the truss shown in Fig 5.3 below using method of joints methodarrow_forward1. Calculate the support reactions, calculate internal forces on the designated section C, and plot the internal force diagrams of the frames shown below. 6m RA 4.I M 湖4.3回 Pa 2ANm y武汉理 出版 5 m 4.4图 4.5 4.6图 6 kN D. 3 m 3 m 題4.7图 題4.8图 2 KN/arrow_forward
- A girder weighing 20,000 lbs is suspended by a cable 1OO ft long. What horizontal pull is necessary to hold it 5 ft from the vertical position?arrow_forwardUsing the method of sections, analyse the truss shown in Figure 8 below regarding forces in members ED, DF and FC. 1.5 m 10 kN- 1 m Ec 1 m D. 1 m 7777 Figure 8 /4 1/4arrow_forwardIt's mechanical engineering subject. Calculate reaction forces at supports.arrow_forward
- -30 ft 30 ft 30 ft 30 ft→* 30 ft → 30 ft → Problem 16.51 P16.52 Determine the maximum and minimum axial forces in mem- ber CH of the truss in Problem 16.45 given the following loading scenario: uniform dead load of 1 klf, a movingarrow_forwardCalculate the forces in all members of the truss shown in the following figure and mark the force values in every member. (All horizontal and vertical members are 1m long). 10 kN | 10 kNarrow_forward(b) An electric light fixture weighing 50N hangs from point C by two strings AC and BC as shown in fig task 1b. The string AC is inclined at 60° to the horizontal and string BC is 45° to the vertical. Determine the forces in the strings AC and BC with clear free body diagram. (15 Marks) 60° 45° 30 45° 50 N Figure: Task 1b (C) A roller of weight 10 kN rests on a smooth horizontal floor and is connected to the floor by the bar AC as shown in Fig Task 1c. Determine the force in the bar AC and reaction from floor, if the roller is subjected to a horizontal force of 5 kN and an inclined force of 7 kN as shown in the figure. Also draw the free body diagram. (15 Marks) 7 kN +5 KN A 30° Figure: Task 1carrow_forward
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