For the spring assemblages shown in Figure, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for all problems.
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- 140 lb 12 lb/in. 8 in. Problem 5-54 what are the values of the reaction forces O r1=150KNM r2=177KN O r1=177KN, r2=150KN O r1=177.9167N, r2=157.0833KN O r1=171.9KN, r2=150KNProblem Statement Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip0 = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. C F a www B b F=35N a=0.8 m b=1.7 m 7 wwwAfter recording the applied twisting moment and resulted angle, fill the following table MT (N.m) T. MPa (degree) (rad.) Now, the twisting moment-twisting angle and shear stress-shear strain curves can be plotted, then determine maximum shear stress, shear stress at proportional limit and modulus of rigidity. 4-6 Problem The following torsion test data were obtained for AA6061-T6 aluminum alloy has a round cross section with 30mm outer diameter, 0 inner diameter and 100 length. 0 32 130 Twisted angle (): 0 1 Torque (N.m): 286 347 487 5.5 591 786 910 1105 1163 1235 1222 3.5 6.5 7.5 9. 10.5 13.5 16.5 21.5 25.5 > Plot the torque-twisted angle curve and determine the proportional limit on it. Plot the shear stress-strain curve the determine the shearing strength and modulus of rigidity. Prof. Adnan N. Abood Asst. Lec. Zainah Waheed 25
- Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. F=30N b=1.7m a=0.8 m Unique Values for Each Student: C F a www B k b wwwThe free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil wire diameter and number of turns with the following data : Modulus of rigidity 80 GPa ; Modulus of elasticity = 200 GPa; Allowable stress = 500 MPa.Problem Statement Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip0 = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. C F a www B b F=15N a=1.0 m b=1.8m
- For the spring assemblages shown in Figures 2, determine the node Displacements, the forces in each element, and the reactions. Use the direct stiffness Method for all problems. Su0 KN/ m 2EN 3. 3 3 Suo KNIM Suo EN/m 3. ZEN Fig 2also find ax and ay The rod is supported by smooth journal bearings at A.B. and C and is subjected to the two forces Fi= 400 N and F 520 N (Egure 1) Figure 0.6m 0.6m 0.6m 0.4m 1 of 1 Part A Determine the 2 and y components of reaction at Cusing scalar notation Express your answers in newtons to three significant figures separated by a comma View Available Hint(s) [95] ΑΣΦ. 11 | vec C.C. Submit Part B ? B. B N Determine the az and a components of reaction at B using scalar notation Express your answers in newtons to three significant figures separated by a comma View Available Hint(s) ΑΣΦ | 19 | voc) NFind all the non-zero components of internal reaction forces in section a-a. If you select wrong answers, you will have negative score in this question. 200 mm 200mm D 400 N 800 N
- For the spring assemblages shown in Figures P2–8 through P2–16, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for all problems.Determine the nodal displacements the forces in each element and the reactions.Use the direct stiffness method for these problems I Figure P3-4 E. A E, A 3. 20,000 lb E, = 30 x 10 psi E, = 15 x 10° psi A 5 in 30 in. 30 in.A helical spring with a load range of from 450 N to 800 N from valve-closed to valve-open conditions is used to close the valve of a spring-set relief valve having a lift of 10 mm. Assuming the spring wire to be of chrome vanadium steel, the spring is rendering average service, determine the diameter of the wire if the spring index is 7 and Sg - 420 MPa. Use G=83GPA. Select one: O a. 2.4-mm wire O b. 5-mm wire O c. 6-mm wire O d. 7-mm wire