1. Determine the equivalent spring constant. ki k2 ks 1000
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- Solve the preceding problem for W = 1.0 lb. h = 12 in.,and k =0.511,/in.A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?Determine the possible range for R is the equivalent spring stiffness constant varies from 50 N/m to 500 N/m
- For the system of springs shown below derive the formula for the overallstiffness cΣ and calculate the overall displacement s if F=200 N, c1=2300 N/m, andc2=2100 N/m.Three linear elastic springs with constants kA, kB, and kC are connected to a rigid bar of length 2a and negligible mass. When the system is unloaded, the bar is horizontal. A vertical load P is applied at a horizontal distance lambda · a from B such that −1 ≤ lambda ≤ 1. Calculate the forces and displacements experienced by each spring.Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces.If E = 210×103 N/mm2for steel, determine the change in its length.
- A spring sustains 200 ft-lb of energy with a deflection of 3’’. Assume that the mean coil diameter is 7 times the wire diameter and that the allowable stress is 100ksi. Determine the wire diameter.Determine the equivalent spring stiffness constant of the following.a helical compression spring with squared and ground ends is ti be made of a steel wire 79 gpa and presetting is to be used. the operation load of the spring can be considered static. If the maximum working force is 292 N and a force of 35 N is required when the spring is 30 mm longer, determine the spring constant k
- Consider the following three bar system shown on the right. Assume for elements 1 and 2, A = 1.2 in^2 and E = 25*10^6 psi, and for element 3, A = 3 in^2 and E = 10*10^6 psi. There is a Force applied to the system at node 2, in +x axis direction. Force at node 2 is = 5000 lb. Determine: a) All local stiffness matrixes b) Global stiffness matrix c) The displacement of nodes of 2 and 3Physics for Engineering A uniform bar 3.00 m long is held by ropes at the ends making angle 60.0 and 30.0, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0 rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.)Three springs A, B, and C has spring constants 641 N/mm, 495 N/mm, 541 N/mm respectively. Determine the equivalent spring constant if the springs are in PARALLEL.