Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.15 x 105 N/m, the helper spring constant is 3.80 x 105 N/m, and y₁ = 0.500 m. m Need Help? Truck body Main leaf spring (a) What is the compression of the leaf spring for a load of 4.90 × 10³ N? X Read It -"Helper" spring Axle (b) How much work is done in compressing the springs?

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.15 x 105 N/m, the helper spring constant is 3.80 x 105 N/m, and y₁ = 0.500 m. m Need Help? Truck body Main leaf spring (a) What is the compression of the leaf spring for a load of 4.90 × 10³ N? X Read It -"Helper" spring Axle (b) How much work is done in compressing the springs?

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 2.5.29P: A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed...

See similar textbooks

Similar questions

A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?
A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see figure). The maximum possible displacement d or the end of the striking plate is 450 mm. What is the maximum velocity vmaxthat a railway car of weight W = 545 kN can have without damaging the bumping post when it strikes it?
The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the ladder itself. Each ladder rail (t5= 4 mm) is supported by a shoe (ts= 5 mm) that is attached to the ladder rail by a bolt of diameter d = 8 mm
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
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 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.
Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
2. Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant (one side only. i.e., three springs) of the suspension if each of the three helical springs is made of steel with a shear modulus G = 80×10° N/m? and has five effective turns, mean coil diameter D = 20 cm, and wire diameter d = 2 cm. BUCKEYE KOR Figure 1. Parallel arrangement of spring in a freight truck.
Load F In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L and stiffness k as the existing one, and must deflect through a maximum safe displacement omax without failure. The width b and thickness t are free variables. Use the index you derive to rank the following candidate material for this application using data from Appendix A: High carbon steel, low alloy steel, titanium alloys and CFRP (carbon fiber reinforced epoxy). L HINT: Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection Smax and the other on stiffness k. Use the two constraints to fix the values of…
Under some circumstances, when two parallel springswith constants k1 and k2 support a single mass, theeffective spring constant of the system is given byk 4k1k2/(k1 + k2). A mass weighing 20 pounds stretchesone spring 6 inches and another spring 2 inches. Thesprings are first attached to a common rigid supportand then to a metal plate. As the figure illustrates(see image), the mass is attached to the center of the plate in the distributiondouble spring. Determine the constant of theeffective spring for this system. find the equationof motion if the mass is initially released fromequilibrium position with downward speed of2 ft/sec.
In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm
Find the equivalent torsional spring constant (up to two decimal points) of the system shown in the figure. Given : R = 0.2 m k1=1 kN.m/rad, k2 = 2 kN.m/rad , k3 = 3 kN.m/rad , k4 = 4 kN.m/rad , k5 = 5kN/m and k6 = 3.0 kN/m