A sample of giant reed is shaped into a beam witha square cross section of 15.5 mm by 15.5 mm.Two supports placed 22.1 mm apart support thesample and a load is applied halfway between thesupport points in order to test the force required tofracture the sample. If ultimate tensile strength is912 MPa, what would be the force F (newtons)required to cause failure?

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Answered: A sample of giant reed is shaped into a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A rectangular plate 125 mm long, 10 mm wide, and 3 mm thick is formed from fused silica (aka fused quartz). It is tested in 3-point bending until it fails with a modulus of rupture of 110 MPa at a load of 66 N. Assume the central load point is on the top of the beam. a. How far apart must have been the lower supports? b. What was the maximum stress (magnitude and sign) on the top side of the beam halfway between the centralload point andtheleft-handlowerload point? c. What was the stress (magnitude and sign) directly beneath the central load point exactly 1.5 mm from the top surface? d. If the same plate was tested in pure tension, would the stress at failure probably be higher or lower than measured by 3-point bending? Why?
A cylindrical specimen of a nickel alloy having an elastic modulus of 207 GPa and an original diameter of 10.2 mm experiences only elastic deformation when a tensile load of 8900 N is applied. Compute the maximum length of the specimen in mm before deformation if the maximum allowable elongation is 0.45 mm.
You are in charge of designing a new fixture for a “universal testing machine” that will attach a tensile specimen to the machine using a clevis—a U-shaped piece with holes drilled through the two arms—and a cylindrical pin that passes through the clevis and the specimen. If the maximum load exerted by the machine is 30 kN and the pin is to be made of some sort of steel, what is the minimum pin diameter needed to ensure that the shear stress in the pin does not exceed 600 MPa? Assume that the steel has similar elastic properties to pure Fe.
If the axial rigidity of steel bar of 1m length is 200 x 107 N, what will be the axial flexibility of the bar?
(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. Answer for this is 19.6 kip) (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. Answer for this is 2.10 in) Do not know if this info is needed but this was the other 2 parts
A square specimen of is loaded using a three-point bend test. The load during the test is 419.6 N while the separation between the load points is 53.1mm. The flexural strength of MgO is equal to 103.4MPa . Compute the minimum possible thickness the specimen should have to avoid fractures during the bend test. Round your answer to three significant figures.
A bar is applied a tensile load of 50 kN having diameter 10 mm, Calculate the tensile stress induced in the bar.
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)?
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Diameter 14 mm, length 100 mm aluminum wire sample, axial When a load of 80 kg is applied in the tensile direction, the change in length and Calculate the change in diameter.(Ealuminum=70 Gpa)
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 .
A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. Compute the modulus of elasticity and the approximate ductility, in percent elongation?

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