A safety valve is loaded by a tension type close coiled helical spring having the following data: Q1: Valve diameter = 60 mm Minimum pressure on valve = 0.7 Mpa Maximum pressure at blow off = 0.78 Mpa Valve lift = 3 mm Spring index = 6 Modulus of rigidity = 81370 N/ mm? Permissible shear stress = 600 N/ mm? Design the spring. %3D

A safety valve is loaded by a tension type close coiled helical spring having the following data: Q1: Valve diameter = 60 mm Minimum pressure on valve = 0.7 Mpa Maximum pressure at blow off = 0.78 Mpa Valve lift = 3 mm Spring index = 6 Modulus of rigidity = 81370 N/ mm? Permissible shear stress = 600 N/ mm? Design the spring. %3D

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.11P: A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a...

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A bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic shock cord having axial rigidity EA = 2.3 kN (see figure). If the jumpoff point is 60 m above the water, and if it is desired to maintain a clearance of 10 m between the jumper and the water, what length L of cord should be used?
A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?
A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10 in.) and a vertical arm BC (length c = 7 in.) pivoted al point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer al C is controlled by a spring, Jt = 5 lb/in., that is attached to a threaded rod. The pitch of the threads is p = 1/16 in. Under application of load W, 12 revolutions of the nut are required to bring the pointer back to the mark. Calculate the weight W.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
PROBLEM: 5 A helical valve spring is to be designed for an operating load range of 90N to 195N. The maximum deflection of the spring for this load range is 7.5 mm. Assuming a spring index of 9, a permissible shear stress of 550 N/mm2 for the material and the modulus of rigidity of 0.85x105 N/mm2. Determine the dimensions of the spring. (i.e. Diameter of the spring wire ,Mean coil diameter, Outer diameter of the spring, number of active turn and free length of the spring). Assume the spring coil is squared and ground.
Design helical compression spring for a service load ranging from 300 N to 375 N. if the permissible shear stress 500 MPa and maximum deflection of the spring for the load range is 8 mm and modulus of rigidity G-80 KN/mm². Draw a fully dimensioned of the spring.
PROBLEM:2 A spring made from a wire of 2.5 mm diameter and 750 N/sq. mm. as its working stress Mean diameter of 12.5 mm and 15 active coils. Find (a) Stiffness of the spring (b) solid length. Assume that the ends are squared and ground. Take modulus of rigidity as 0.85x105 N/mm2.
A typical compound helical spring consists of two coaxial closed coil spring having the following particulars: Outer spring 1: mean coil diameter = 100 mm Wire diameter = 12.5 mm No. of turns = 15 Inner spring 2: mean coil diameter = 75 mm No. of turns = 20Both the springs are of equal initial length when unloaded. Ifthe working stress for each spring is to be same. The modulus of rigidity for the wire material is 80 GPa. Calculate the following:a. Diameter of steel wire for inner spring. b. Stiffness of inner springc. Stiffness of the compound spring. I need answer ASAP. Thank you!
A helical compression spring is 1o exert a force of 8.0 Ib when compressed 1o a length of 1.75 in. At a length of 1.25 in, the force must be 12.0 Ib. The spring will be installed in a machine that cycles slowly. and approximately 200 000 cycles total are expected. The tem- perature will not exceed 200°F. The spring will be installed in a hole having a diameter of 0.75 in. For this application. specify a suitable material, wire diameter. mean diameter. OD. ID. free length, solid length. number of coils, and type of end condition. Check the stress at the maximum operating load and at the solid length condition. The first of two solution procedures will be shown. The numbered steps can be used as a guide for future problems and as a Kind of algorithm for the spreadsheet approach that follows the manual solution.
PROBLEM: 7 Calculate the dimensions of helical spring for a spring loaded safety valve from the following data : Valve Diameter = 45 mm; operating pressure = 0.6 N/mm2 Maximum pressure when the valve blows off freely = 0.99 N/mm2 ;valve lift when pressure rises from 0.6 to 0.99 N/mm2 = 5.5 mm ;Maximum permissible stress = 555 N/mm2 ; spring index ,C = 9; Modulus of rigidity =0.85x 105 N/mm2. Assume the spring coil is squared and ground.
A square end compression helical spring has an operation load range of 3.5KN to 4.2KN.The deflection for the load range is 8mm and the spring index is 6.if the permissible shear stress and module of rigidity for the material of the spring are 380MPa and 90pa respectively, including the effect of the wire curvature. Design the spring by, determine (A)wire diameter (B) mean coil diameter (C) number of active turns (D)total number of turns