VIBRATION ENGINEERING ASSIGNMENT#31. What is the equivalent stiffness of the springs in the system?2. What is the equivalent torsional stiffness of the shafts?-50 cm-Ahminum-20Steel-15 mm3. Determine the equivalent stiffness of a linear spring when a SDOF mass-spring model is used for thesystems shown.1 m1 mE- 200 x 10° N/m²1- 1.15 x 104 m*20 kgT.4. Determine the equivalent stiffness of a linear spring when a SDOF mass-spring model is used for thesystems shown.- Massless beamE, IT.

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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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1. Design a compression helical spring to cary a load of 500 N with a deflection of 25 mm. The spring index may be taken as 8. Assume the following values for the spring material: Permissible shear stress 350 MPa Modulus of rigidity = 84 kN/mm2 4C – 1 + 4C – 4 0.615 Wahl's factor -, where C= spring index. [Ans. d= 5.893 mm; D=47.144 mm; n 6]
1. Design a compression helical spring to carry a load of 500 N with a deflection of 25 mm. The spring index may be taken as 8. Assume the following values for the spring material: Permissible shear stress = 350 MPa Modulus of rigidity = 84 kN/mm2 4С - 1 0.615 Wahl's factor where C-spring index. 4С - 4
1. Design a helical spring for a spring loaded safety valve for the following conditions: Operating pressure Maximum pressure when the valve blows off freely = 1 N/mm? = 1.075 N/mm2 Maximum lift of the valve when the pressure is 1.075 N/mm2 = 6 mm Diameter of valve seat =100 mm Maximum shear stress 400 MPa %3D Modulus of rigidity = 86 kN/mm? Spring index = 5.5 [Ans. d= 17.2 mm; D=94.6 mm; n=12| A vertical epring loaded ualue ia noonin
3. Design a helical spring for a spring loaded safety valve for the following conditions : Operating pressure Maximum pressure when thc valve blows off freely = 1 N/mm? = 1,075 N/mm? Maximum lift of the valve wvhen the pressure is 1.075 N/mm2 6 mm %3D Diameter of valve seat = 100 mm Maximum shear stress 400 MPa Modulus of rigidity = 86 kN/mm² Spring index [Ans. d= 17.2 mm; D=94.6 mm ; n = 12] 5.5 %3D
Stiffness of a helical spring decreases with increase in deflection Select one: O True O False
k, k3 A В k2 What is the equivalent spring stiffness between the points A and B. If ki = 1 N/m, k2 =1 N/m. k3 = 2 N/m and k4 = 2 N/m A N/m
A simplified SDOF model of a vehicle suspension system is shown in below Figure. The mass of the vehicle is 500 kg. The suspension spring has a stiffness of 100,000 N/m. The wheel is modeled as a spring placed in series with the suspension spring. When the vehicle is empty, its static deflection is measured as 5 cm. (a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the spring combination. (c) Determine the natural frequency fn of the system ks kw m ww Suspension spring Wheel I stiffness
Consider four springs with spring constants kl 20N/m, K2=50 N/m, K3=100 N/m, K4=200 N/m, What is the equivalent spring constant if K123 are in parallel and with K4 in series. O270 N/m O 360 N/m 91.89 N/m
Q1. For a compressive helical spring which was made of alloy steel with (200MPA) yield stress, (90MPA) torsional shear stress, (80GPA) Modulus of Rigidity, (10) number of active coils, (220.6 N) maximum applied load to the spring. Determine the energy stored in the spring. Q2. For a specific spring where the load applied is 100 N, coil diameter is 4 mm, spring diameter is 20 mm. Calculate the point where the total shear stress induced in the spring is equal to zero. Q3. For a closed end cylinder where the inner radius is 20 mm and outer radius is 40 mm, and the internal pressure is 5 MPa. Determine the minimum and maximum stresses induced in the cylinder.
Consider the two-degrees-of-freedom mass-spring system below. Assume m₁ = 30 kg, m2 = 35 kg. If the second natural frequency of the system is 100 rad/s, the value of stiffness k is www. k₁=k k₂ = k k3= k 174.41 kN/m 107.38 kN/m 140.93 kN/m 39.24 kN/m 73.62 kN/m Next 000 00 Previous 4 x₁ (t) x₂ (t) m₁ m₂. mm
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Ans. RA = 9.75KN up, RB = 12.75KN up 3 m 3 m 213: Statics of Rigid Bodies Page 76 of 103 NORTHWEST SAMAR STATE UNIVERSITY STATICS OF RIGID BODIES Resiience integrity Service. Escellence 12. A rope and pulley system is used to support a body W as shown. Each pulley is free to rotate. One rope is continuous over pulleys A and B; the other is continuous over pulley C. Determine the tension T in the rope over pulleys A and B required to hold body W in equilibrium if the mass of body W is 175 kg. Ans. T= 429N arted 1 3. IN A- .

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