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Get Full Access to Purdue - NUCL 273 - Study Guide - Final
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# nucl 273 purdue Description

##### Description: Exam Review - summary of concepts and example problems with solutions
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< Final Exam Study Guide

## what are the transformation of the plane stress? Wednesday, May 2, 2018

4:29 PM

Exam Info:

Will be on Saturday, May 5th, at 1pm - 3pm in 4 questions long, the last of which is bonus points

Any calculator accepted as long as it does not have internet No notes/ book or any other materials allowed Will cover chapters 6.1,7.1-7.66,8.1, and 10.1 - 10.3

connection

notes

w

oments

12 on

STA

Equations

Given on exam

Moments of Ihertia

I recongle = 1 bh? I shaft = 2 C

Jeshaft = 2 2 2 Euler's famula

Pc: TEPE

• Stresses in a beam or a shaft

o me - C = The

wala

. Stresses on

a pressure vessel

Ohoop

het

- Transformation of stresses

On - Oqt or rose cos 20 + Lid sin 28 Zxys 3. 004 sinze - Exy cos20

'. 0cten Ov-0 * cos 20 - Zoy sin 20

## what are the stress transformation? z

Emax = 10 ) + Exy Elastic Curve

EI di = M(x)

LEP

Key Concepts

Chapter 61 - Horizontal Shearing Stress in Beams

If sher between

- sections

- glue keeps sections toogerher 2000

28000

- Iglue force F o r F, = { O, ddl - for yda'

M o MAM . S odd' = M A M JdA

UA

AX

(201\$- Słuc

Fn = F2-F,

AM S. geht'

Fu a S yedd')

HULLE

"Formula of Ch.7" Oly) - So geht Ely) - Sydy vy?

of

plane stress

•Chapter 7.1 - Transformation

- Coordinate Rotation

Principal normal stress

Maximum shear stress,

Tmax = 1 Omar

On: C. cose

On = Ox costo

N = Pioso

Me Renda

AA area of inclined surface

AA

Acoso

On = OxcoseO Oy Sinza

ty Nacost

Gayatrine

## what is beam failure? + 2 y sin cost

Oglasima

{F = 7 Kent S -10-07) subcosé + Psylcore time) If you want to learn more check out unr population

trig shit 2 sin cos - Sin20 Sin? (1-10520) Cose B = {{1+cos20)

•Chapter 7.2 -

Mohr's

Circle

Stress Transformations

yield criteria

I max < of

Principal

sresses

Tresca's Hexagon

++

Mutu

3rd principal Stress

Emax = o-o con

O. - Ozzog O2=0,- og

y = x-xo

A

principal stresses

•Chapter 10 -

Beam

Failure

EM!:0 =xsin = K-20

StudySoup

240

@Studysa

L

Ch.1-4

wwwwwwwwwww

www

h

wwwww

y = A sindx

- Bersex

to do

StudySoup

BO

A sin th=0

[T = 0, = 0]

sinth to

Hoon

NT

:

L = n T

n: 1, 2, 3 ... -

[x = L y = 0) B

2= (n I2

NNNNN

P

(b)

A on the shaft is shown.

Example Questions

1) the in-plane principal stresses C 2) the in-plane maximum shear stress 3) drow the in-plane Mohr's circle 4) calculate the max out-of-plane shear stress r) draw Mohr's circle corresponding to ")

12 ksi

i) the shear force v at non. 2) the moment of inertia of the cross section 3) the shear stresses at B and B 4) the shear stress at C 5) sketch the shear stess distribution along the Don't forget about the age old question of volney b palmer

vertical axis

80 IN

80 KN

StudySoup

ower

3 The W8+ 31 steel beam shown is to be used as a planed column.

For Oy = 50 ksi and E= 29 +10° psi determine 1) The rectangular moment of inertia appropriate

for buckling. 2) The largest centric load it can support before

the steel yields 3) the lorgest centric load it can support before

it buckles 4) the F.S. for a zoo ki load 5) What would the F.S. be if the column

was cantilevered?

12 ft So

Solutions

va =

اکی)

SOU

StuSOU

(1) aug, R

here

0.: -12ksi

Doug = - least

RE 1 (zobett? = 936436 = 8.4965

Tmax = 8.4 aasi

Og=0

uksi

Y

Studio

9.49

4) 7.25

2.5651

SENSO

2 Du=80kn

2) t = ve

Istal 15*2005) + 2( tz( soox 209 + 300 x 20x1105)) = 155.6x10“ Mm4 Q: (300x20)(110): 0.6602106 m3 4; (50.000w)(0.66On lommes), 22.6 MPa

(155.6x10..) (15mm) CB 1.13 MP : = 300mm

4)

0310.160x10.mes) * (15-100%(60) = 0.7352006.ms

(80.000~10.735 x 10 mm) 25.2 MPa Ze 7155.620 mm (15mm)

www

ANOS

WWW

WWW

Wwwww

3 W8x31

1) Ig = 37.1 in4 , d=9.13 in2

2) Os P[A :7 P=0A = 50 ks) * 9.13 in? = 456 kips 3) P = (I VEI - (44/144)(29x106m)(57.1.) - 512 kips

yield betur buckles 4) FS. - 456/200 > 2.28 î î

Penzion (E)(I) = (Pep) lu) = (512/4) = 128

F.S. - 128/200 - 0.64

Study SOM 