Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrowideas from gpt, but please do not believe its answer.Very very grateful!Just solve for question (b)!!!Thanks! (a) A cylindrical sample as shown in Figure Q6 is under tensile force F. The tensile stressproduces a shear stress T on a plane inclined at an angle to the horizontal. Prove thatthe shear stress on the inclined plane is at a maximum when is 45°.AFCircular cross-sectionarea A, radius rInclined plane withshear stress TFigure Q6(b) Sketch a typical stress-strain curve for mild steel, aluminium alloy and polyethylene, anddiscuss the most likely failure mechanism for each material when it is under tensile load. (a)shear force:inclined plane Area:shear stress:T=介F = F sin 0.dTde-AsFs FAs AFor maximum value of T,F0,⇒ x 2 x cos 20 = 02A=ACos-sin cos 0:cos 2000 = 45°F2.4 sin 28.2AFCOSOAF4 FSingFVACose

Answered: Image /qna-images/answer/6a3fc6f5-bc9a-472a-921f-cbb365be0dc0.jpg

Answered: Figure Q6 (b) Sketch a typical…

Figure Q6 (b) Sketch a typical stress-strain curve for mild steel, aluminium alloy and polyethylene, and discuss the most likely failure mechanism for each material when it is under tensile load.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.5P: The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen...

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful! Just solve for question (b)!!!Thanks!

(a) A cylindrical sample as shown in Figure Q6 is under tensile force F. The tensile stress
produces a shear stress T on a plane inclined at an angle to the horizontal. Prove that
the shear stress on the inclined plane is at a maximum when is 45°.
AF
Circular cross-section
area A, radius r
Inclined plane with
shear stress T
Figure Q6
(b) Sketch a typical stress-strain curve for mild steel, aluminium alloy and polyethylene, and
discuss the most likely failure mechanism for each material when it is under tensile load.

(a)
shear force:
inclined plane Area:
shear stress:
T=
介
F = F sin 0.
dT
de
-
As
Fs F
As A
For maximum value of T,
F
0,⇒ x 2 x cos 20 = 0
2A
=
A
Cos
-sin cos 0:
cos 2000 = 45°
F
2.4 sin 28.
2A
FCOSO
AF
4 FSing
F
VA
Cose

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