A/ A cylindrical specimen of a titanium alloy having an elastic modulus of 104 GPa and an original diameter of 3.5 mm will experience only elastic deformation when a tensile load of 2500 N is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.44 mm.

A/ A cylindrical specimen of a titanium alloy having an elastic modulus of 104 GPa and an original diameter of 3.5 mm will experience only elastic deformation when a tensile load of 2500 N is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.44 mm.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

See similar textbooks

Similar questions

You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The material has a Young’s modulus of 72 GPa. If a compressive load of 3 kN is applied parallel to the 2.3m dimension, what is the resulting engineering normal strain?
A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 200 mm. What is the load magnitude required to produce 2.8 x 10^-2 change in diameter if the deformation is entirely elastic?
A tool steel cylindrical specimen, 6 in. long and 0.25 in. in diameter, is kept rotating like a cantilever beam and must be designed in such a way that rupture never occurs. Assuming that the maximum tensile and compressive stresses are equal, determine the maximum load that can be applied at the end of the life (see figure)
You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The material has a Young’s modulus of 72 GPa. If a tensile load of 3 kN is applied to the ends of the rod (parallel to the 2.3m dimension), what is the applied engineering normal stress?
A) Suppose you need to design a tension test machine capable of testing specimens that have nominal ultimate stresses as high as σu = 100 ksi . How much force must the machine be capable of generating? Assume the testing specimen has the ASTM shape shown. B) If the maximum nominal strain is ϵf = 0.7 just before the test specimen fractures and the test machine operates by moving only one grip, how far must that grip be designed to travel? The total length of the deforming part of the specimen is 3 in .
In a sheet metal of 2 mm thickness a hole of 10 mm diameter needs to be punched. The yield strength in tension of the sheet material is 100 Mpa and its ultimate shear strength is 80 MPa. Determine the force required to punch the hole.
Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut material in shear is 103MPa, what is the most nearly the maximum allowable shear force on the nut thread using a safety factor of 5?
Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
Due to an applied static loading, the principal stresses at a point of a machine component are σ1 = -150 MPa and σ2 = 60 MPa. If the design of the component is to be done using a LESS conservative failure theory, then yielding will just begin if the designer chooses a ductile material with the yield strength, Sy=___. If the factor of safety needs to be at least 4 by using a MORE conservative theory, what is the minimum yield strength needed for the material?
The notched steel bar shown below is loaded in tension by a uniformly distributed force of ?=15kN. What is the minimum thickness of the bar necessary to avoid yielding (assume yield strength of 200MPa)?
A steel rod (initial diameter: 3.2 mm, initial length: 42 mm) is extended by auniaxial tensile load of 4800 N in 120 seconds. At this load, the length of therod is measured as 49,2 mm. Calculate the followings:(a) Stress and strain occurred on the rod at this load.(b) Initial strain rate.(c) Diameter of the rod at this load.(Yield strength : 380 MPa, Ultimate Tensile Strength: 670 MPa,Modulus of Elasticity: 210000 MPa were given for this material)
A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with a force of 40, 000 N. If the deformation is totally elastic and the original length is 120 mm, what is the shear modulus, G, of the specimen in GPa?