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1
PLEASE PASS YOUR HOMEWORK TO THE CENTER ISLE
TAKE EVERYTHING OFF YOUR DESKS EXCEPT A PENCIL OR PEN AND CALCULATOR: QUIZ TIME
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QUIZ
You’ll have 10 minutes to complete
Make sure your mark your answers clearly.
Put your names on the front page!
DON’T PANIC!!!
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QUIZ ANSWERS
LESSON 3
STRENGTH OF MATERIALS
SECTIONS 1.7
TODAY’S LESSON WILL COVER:
Shear stress and strain
Bearing stress
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FIRST, A COUPLE OF ASSUMPTIONS FOR THIS COURSE
Unless stated otherwise:
1. All materials are assumed to be linearly elastic, homogeneous, and isotropic (same properties in all directions).
2. Disregard frictional forces and their effects
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SHEAR STRESS, SHEAR STRAIN AND BEARING STRESS
To the board…
True
False
17%
83%
SHEAR STRESS (TAU) ACTS PARALLEL TO THE CUT SURFACEA. True
B. False
10 100
12.7 18 25
.5
90%
2% 2%2%2%
IF THE BEARING FORCE IS 10 KIP, THE BOLT DIAMETER IS 0.5 INCHES, AND THE PLATE THICKNESS IS 2 INCHES, WHAT IS THE BEARING STRESS ON THE BOLT IN KSI?
Rank Responses
1 10
2 100
3 12.7
4 18
5 25.5
6 Other
Values: 10
Value Matches: 37
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KEY TERMS, SYMBOLS, CONSTANTS, ETC.
Average Shear Stress = τ (Greek lowercase tau): total shear force divided by the area of the cross section over which it acts; parallel to surface; psi, ksi, Pa, Mpa
Shear Strain = γ (Greek lowercase gamma): distortion or change in shape of material due to shear stress; this is an angle, not a length!
Bearing Stress (or pressure) = σb = total bearing force divided by bearing area; psi, ksi, Pa, MPa
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KEY TERMS, SYMBOLS, CONSTANTS, ETC.
G = Shear Modulus of Elasticity: shear stress over shear strain; another property of a material
Hooke’s Law in Shear = τ= Gγ
Shear Modulus, Poisson’s Ratio and Modulus of Elasticity are all related:
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EG
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TAKE AWAYS
Wednesday: finish chapter 1, begin chapter 2 (read 2.1 and 2.2)
HW#2 will be posted on the wiki space by Wednesday. I’ll be due a week from Wednesday
Solutions to HW#1 will be posted this afternoon.
Register you clickers for this class
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QUESTIONS?