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Chapter 5.4, Problem 1PP

Draw the free body diagram of each object.

Chapter 5.4, Problem 1PP, Draw the free body diagram of each object. Prob. P5-1

Prob. P5-1

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Q6/ A helical square section spring is set inside another, the outer spring having a free length of 35 mm greater than the inner spring. The dimensions of each spring are as follows: Mean diameter (mm) Side of square section (mm) Active turns Outer Inner Spring Spring 120 70 8 7 20 15 Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring rate of the two springs after sufficient load has been applied to deflect the outer spring 60 mm. Use G = 83 GN/m².
Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire. The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean diameter of spring to the longer side of wire is nearly equal to 6. Three such springs are required to bring to rest a carriage weighing 25 kN moving with a velocity of 75 m/min with a maximum deflection of 200 mm. Determine the sides of the rectangular section of the wire and the mean diameter of coils when the shorter side is parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa and G = 84 kN/mm². Q6/ A belical
11. A load of 2 kN is dropped axially on a close coiled helical spring, from a height of 250 mm. The spring has 20 effective turns, and it is made of 25 mm diameter wire. The spring index is 8. Find the maximum shear stress induced in the spring and the amount of compression produced. The modulus of rigidity for the material of the spring wire is 84 kN/mm². [Ans. 287 MPa; 290 mm]

Chapter 5 Solutions

Engineering Mechanics: Statics & Dynamics, Student Value Edition Plus Modified Mastering Engineering Revision with Pearson eText -- Access Card Package

Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - The truss is supported by a pin at A and a roller...Ch. 5.4 - Prob. 4FPCh. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Prob. 6FPCh. 5.4 - Prob. 10PCh. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Prob. 15PCh. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - Prob. 17PCh. 5.4 - Determine the components of reaction at the...Ch. 5.4 - The man has a weight W and stands at the center of...Ch. 5.4 - A uniform glass rod having a length L is placed in...Ch. 5.4 - Prob. 21PCh. 5.4 - If the intensity of the distributed load acting on...Ch. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - The mobile crane is symmetrically supported by two...Ch. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Determine the force P needed to pull the 50-kg...Ch. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Determine the magnitude of force at the pin A and...Ch. 5.4 - The dimensions of a jib crane, which is...Ch. 5.4 - Prob. 34PCh. 5.4 - The smooth pipe rests against the opening at the...Ch. 5.4 - Prob. 36PCh. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - Prob. 38PCh. 5.4 - Prob. 39PCh. 5.4 - Determine the stiffness k of each spring so that...Ch. 5.4 - The bulk head AD Is subjected to both water and...Ch. 5.4 - The boom supports the two vertical loads. Neglect...Ch. 5.4 - Prob. 43PCh. 5.4 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5.4 - Prob. 45PCh. 5.4 - Prob. 46PCh. 5.4 - Prob. 47PCh. 5.4 - Prob. 48PCh. 5.4 - The rigid metal strip of negligible weight is used...Ch. 5.4 - Prob. 50PCh. 5.4 - Prob. 51PCh. 5.4 - Prob. 52PCh. 5.4 - Prob. 53PCh. 5.4 - Prob. 54PCh. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.4 - Prob. 56PCh. 5.4 - Prob. 57PCh. 5.4 - Prob. 58PCh. 5.4 - The rod supports a weight of 200 lb and is pinned...Ch. 5.4 - Prob. 60PCh. 5.4 - Prob. 61PCh. 5.4 - The man attempts to pull the tour wheeler up the...Ch. 5.4 - Where is the best place to arrange most of the...Ch. 5.7 - Draw the free-body diagram of each object.Ch. 5.7 - In each case, write the moment equations about the...Ch. 5.7 - Prob. 7FPCh. 5.7 - Prob. 8FPCh. 5.7 - Prob. 9FPCh. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Prob. 11FPCh. 5.7 - Determine the components of reaction that the...Ch. 5.7 - The uniform loads has a mass of 600 kg and is...Ch. 5.7 - Due to equal distribution of fuel in the wing...Ch. 5.7 - Prob. 5-63 5-64. Determine the components of...Ch. 5.7 - Prob. 65PCh. 5.7 - The smooth uniform rod AB is supported by a...Ch. 5.7 - The uniform concrete slab has a mass of 2400 kg....Ch. 5.7 - The 100-lb door has its center of gravity at G....Ch. 5.7 - Determine me tension in each cable and the...Ch. 5.7 - The stiff-leg derrick used on ships is supported...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - Prob. 75PCh. 5.7 - Prob. 76PCh. 5.7 - The member is supported by a square rod which fits...Ch. 5.7 - Prob. 78PCh. 5.7 - Prob. 79PCh. 5.7 - The bar AB is supported by two smooth collars. At...Ch. 5.7 - Prob. 81PCh. 5.7 - Prob. 82PCh. 5.7 - Prob. 83PCh. 5.7 - Both pulleys are fixed to the shaft and as the...Ch. 5.7 - Member AB is supported by a cable BC and at A by a...Ch. 5.7 - If the roller at 8 can sustain a maximum load of 3...Ch. 5.7 - Determine the reactions at the supports A and B...Ch. 5.7 - Prob. 3RPCh. 5.7 - Prob. 4RPCh. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Prob. 6RPCh. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the x and z components of reaction at...
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