2.5-14 A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter d, = 25 mm, and the sleeve has inside and outside diameters d¡ = 26 mm and d2 = 36 mm, respectively. Calculate the temperature rise A T that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, as = 21 × 10¬º/°C and Es = 100 GPa; for the bolt, a z %3D %3D %3D 10 x 10-6/°C and E = 200 GPa.) %3D %3D B dz di de Sleeve (S) Bolt (B) PROBLEM 2.5-14

2.5-14 A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter d, = 25 mm, and the sleeve has inside and outside diameters d¡ = 26 mm and d2 = 36 mm, respectively. Calculate the temperature rise A T that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, as = 21 × 10¬º/°C and Es = 100 GPa; for the bolt, a z %3D %3D %3D 10 x 10-6/°C and E = 200 GPa.) %3D %3D B dz di de Sleeve (S) Bolt (B) PROBLEM 2.5-14

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 2.5.14P: A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is lightened until it is...

See similar textbooks

Similar questions

A circle of a diameter d = 200 mm is etched on a brass plate (see figure). The plate has dimensions of 400 x 400 x 20 mm. Forces are applied to the plate, producing uniformly distributed normal stressescr^ =59 MPaander^ = —17 MPa. Calculate the following quantities: (a) the change in length Aac of diameter at: (b) the change in length Abd of diameter bd; (c) the change At in the thickness of the plate; (d) the change AV in the volume of the plate; (e) the strain energy U stored in the plate; (f) the maximum permissible thickness of the plate when strain energy £/must be at least 784 J; and (g) the maximum permissible value of normal stress axwhen the change in volume of the plate cannot exceed 0.015% of the original volume. (Assume E = 100 GPa and v = 0.34
A plastic cylinder is held snugly between a rigid plate and. a foundation by two steel bolts (see figure). Determine the compressive stress erFin the plastic when the nuts on the steel bolts are tightened by one complete turn. Data For the assembly are as follows: length L = 200 mm, pilch of the bolt threads p= 1.0 mm, modulus of elasticity for steel Ez= 200 GPa, modulus of elasticity for the plastic Ep = 7.5 GPa, cross-sectional area of one boll As= 36.0mm2, and cross-sectional area of the plastic cylinder Af=960 mm2.
Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure). The lengths of the segments of the bar are L1= 0.3 m and L2= 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress ??maxin the bar?
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
A horizontal rigid bar of weight If' = 72001b is supported by three slender circular rods that are equally spaced (see Figure)'. The two outer rods are made of aluminum (£-, = 10 X 10 psi) with diameter f/j = 0.4 in. and length Ly= 40 in. The inner rod is magnesium {F-, = 6.5 X 10* psi) with diameter rf, and length L-,. The allowable stresses in the aluminum and magnesium are 24,000 psi and 13,000 psi, respectively. IF it is desired to have all three rods loaded to their maximum allowable values, what should be the diameter d2and length LzoF the middle rod?
A post AB supporting equipment in a laboratory is tapered uniformly throughout its height H (see figure). The cross sections of the post are square, with dimensions b × b at the top and 1.5b × 1.5b at the base. Derive a formula For the shortening 8 of the post due to the compressive load P acting at the top. (Assume that the angle of taper is small and disregard the weight of the post itself.)
Solve the preceding problem if the axial stress in the middle region is 24,000 psi, the length is 30 in., and the modulus of elasticity is 30 × 106 psi. In part (c), assume that dmax = 0.02 in
A tension member constructed of an L inch angle section (see Table F-4(a) in Appendix F) is subjected to a tensile load P = 12.5 kips that acts through the point where the mid-lines of the legs intersect (see figure part a). Determine the maximum tensile stresser, in the angle section. Recompute the maximum tensile stress if two angles are used and P is applied as shown in the figure part b.
Repeat the preceding problem but now find the stress state on Element A at the base. Let W%= 240 N, WL= 250 N, / = 5 mm, d = 360 mm. See the figure for the locations of clement A and all loads
A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The hole may have any diameter that will fit within the bar. What is the maximum permissible tensile load Pmaxif the allowable tensile stress in the material is st?
A circular brass bar with a diameter J is member AC in truss ABC thai has load P = 5000 lb applied at joint C. Bar AC is composed of two segments brazed together on a plane pq. making an angle a 36 with the axis of the bar (see figure). The allowable stresses in the brass are 13.500 psi in tension and 6500 psi in shear. On the brazed joint, the allow. able stresses arc 6000 psi in tension and 3000 psi in shear. What is the tensile force NAC in bar AC? What is the minimum required diameter d of bar AC?
Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.