Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 3.4, Problem 47P
Each spring has on unstretched length of 2 m and a stiffness of k = 300 N/m.
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what is the compression in 2 springs after
the block A with 50 N is falling off on it from
the rest
note :-Initially both springs are unstretched.
A
10m
5m
20N/m
= 30 N/m
A helical compression spring having 14 active coils is close coiled. It has a spring stiffness of 400lb/in. It is cut into two springs having 6 and 8 turns. Determine the spring stiffnesses of resulting springs.
Chapter 3 Solutions
Engineering Mechanics: Statics
Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...Ch. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 4P
Ch. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Determine the maximum weight of the flowerpot that...Ch. 3.3 - Prob. 10PCh. 3.3 - Prob. 11PCh. 3.3 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.3 - Prob. 27PCh. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Prob. 38PCh. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Prob. 40PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Prob. 43PCh. 3.4 - If cable AB is subjected to a tension of 700 N,...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.4 - Prob. 53PCh. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Prob. 56PCh. 3.4 - Prob. 57PCh. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Prob. 63PCh. 3.4 - Prob. 64PCh. 3.4 - Prob. 65PCh. 3.4 - Prob. 66PCh. 3.4 - Prob. 67PCh. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 70RPCh. 3.4 - Prob. 71RPCh. 3.4 - Prob. 72RPCh. 3.4 - Prob. 73RPCh. 3.4 - Also, what is the force in cord AB? Hint: use the...Ch. 3.4 - Prob. 75RPCh. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Prob. 77RP
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- 2. Determine the possible range for R is the equivalent spring stiffness constant varies from 50 N/m to 500 N/m 15 KN/m ww Anwer: 20 points 750 N/marrow_forwardThe helical compression spring is made of 12mm wire diameter with 132 mm mean diameter. Determine stiffness of the spring when modulus of rigidity G=80 kN/mm2,number of turn is 13 and axial load is 190N. Select one: O a. 12N/mm O b. 4.5N/mm O c. 9.5N/mm O d. 17N/mmarrow_forwardA helical spring is provided with a rigid plate at each end. A bolt passes through the spring and the end plates. By turning the nut, the spring is compressed until the coils touch. The height of the unloaded spring is 600 mm, its mean coil diameter is 100 mm and the diameter of the spring wire is 28 mm. The spring has 18 coils. The diameter of the bolt is 25 mm and the plates are each 25 mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire (take E = 200 GPa and G = 80 GPa).arrow_forward
- 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 - 4arrow_forward- Required information A helical compression spring is made of hard-drawn spring steel wire of diameter 0.0773in. and has an outside diameter of 0.85 in. The ends are plain and ground, and there are 8 coils. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the pitch of this spring? What force is needed to compress the spring to its solid length? Estimate the spring rate. The pitch of the spring is in. The force needed to compress the spring to its solid length is lbf. The spring rate is lbf/in.arrow_forwardspring is to be inserted with an initial compression to produce a force equal to 125 N between the right-hand end of the lever and the stop. When the maximum force at A reaches to a value of 200 N, the end of the lever moves downward by 25 mm. assuming a spring index 8 determine the following parameters: 1. Spring rate 2. Size of the wire 3. Outside diameter of the spring 4. Number of active coils, and 5. Free length, assuming squared and ground ends Note: the allowable shear stress may be taken as 420 MPa, and G = 80 GPa. Hint: Ans. 0.33 N/mm: 3.4 mm; 27.2 mm; 77 mm - 200 mm - 200 mm Lever Stop -Springarrow_forward
- Determine the minimum force required to deflect the spring with spring constant of 251 N/mm to a displacement of 5 mm.arrow_forwardDetermine the equivalent spring stiffness constant of the following.arrow_forwardA helical compression spring is used to absorb heavy vibrations. Apply mechanical engineering design theory and by using the values given in the table below, (i) Calculate the force applied on the spring. (ii) Determine the number of turns. (iii) Determine the spring stiffness. (iv) Calculate the free length. 5 maiks (v) Would you recommend to increase the number of turns and free length of the spring for this application ? Why? (answer in one/two sentences only). Spring data Туре Helical squared and ground ends Initial Compression of spring 30 mm 80 mm Further Compression of spring after applying heavy load Shear Stress Modulus of rigidity 750 N/mm2 82000 MPa Wire diameter 8 mm Spring Indexarrow_forward
- If the wire diameter of a compressive helical spring is increased by 2%, the change in spring stiffnes: (in %) is (correct to two decimal places).arrow_forwardA 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 wirearrow_forwardA Helical Compression Spring is made of A232 Chrome-vanadium with squared and ground ends has wire diameter 5 mm, outer diameter 81.5 mm, free length 246.3 mm and total 10 turns. Do the analysis if the spring is safe and if not, what is the largest free length to which it can be wound using ns=1.2? Attach File Browse My Computerarrow_forward
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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license