STREMA w/ CALTECH

Question 1

NORMAL STRESS

Accepted Answer

$\sigma = \dfrac{P}{A}

Question 2

SHEAR STRESS

Accepted Answer

$	au = \dfrac{V}{A_v}

Question 3

BEARING STRESS

Accepted Answer

$\sigma_p = \dfrac{P_p}{A_p}

Question 4

TANGENTIAL STRESS or CIRCUMFERENTIAL STRESS (internal pressure only)

Accepted Answer

$\sigma_t = \dfrac{pD}{2t}

Question 5

TANGENTIAL STRESS or CIRCUMFERENTIAL STRESS (internal and external pressure)

Accepted Answer

$\sigma_t = \dfrac{(p_i - p_o) D}{2t}

Question 6

LONGITUDINAL STRESS (internal pressure only)

Accepted Answer

$\sigma_L = \dfrac{pD}{4t}

Question 7

LONGITUDINAL STRESS (internal and external pressure)

Accepted Answer

$\sigma_L = \dfrac{(p_i - p_o) D}{4t}

Question 8

SPHERICAL SHELL

Accepted Answer

$\sigma_l = \dfrac{(p_i - p_o) D}{4t}

Question 9

THIN WALLED HOLLOWSHAFT SHEAR STRESS

Accepted Answer

$\sigma=\frac{T}{2tA_m}

Question 10

THIN WALLED HOLLOWSHAFT SHEAR FLOW

Accepted Answer

$q=\sigma\bullet t=\ \frac{T}{2A_m}$

Question 11

TORSIONAL SHEAR STRESS

Accepted Answer

$	au=\frac{Tho}{J}\;\;\;\;||||\;\;\;\;	au_{max}=\frac{Tr}{J}$

Question 12

ANGLE OF TWIST

Accepted Answer

$	heta = \dfrac{TL}{JG} \, 	ext{in radians}

Question 13

Power Transmitted by the Shaft

Accepted Answer

$P = T\omega = 2\pi T f

Question 14

RECTANGULAR MEMBERS -TORSIONAL SHEAR STRESS

Accepted Answer

$	au_{max}=\frac{T}{c_1ab^2}

Question 15

RECTANGULAR MEMBERS- ANGLE OF TWIST

Accepted Answer

$	heta=\frac{TL}{c_2ab^3G}

Question 16

HELICAL SPRING APPROXIMATE SHEAR STRESS

Accepted Answer

$	au_{max}=\frac{16PR}{\pi d^3}\left(1+\frac{d}{4R}ight)\ \ =\ \frac{P}{A}+\frac{Tr}{J}

Question 17

HELICAL SPRING- EXACT SHEAR STRESS (A.M. WAHL FORMULA)

Accepted Answer

$	au_{max}=\frac{16PR}{\pi d^3}\left(\frac{4m-1}{4m\ -4}+\frac{0.615}{m}ight)\

Question 18

SPRING DEFORMATION

Accepted Answer

$\delta\ =\ \frac{64PR^3n}{Gd^4}

Question 19

SPRING CONSTANT

Accepted Answer

$k\ =\ \frac{P}{\delta}=\frac{Gd^4}{64R^3n}$

Question 20

FLEXURAL STRESS or BENDING STRESS

Accepted Answer

$f_b=\frac{Mc}{I}=\frac{M}{S_x}$

Question 21

RADIUS OF CURVATURE

Accepted Answer

$R\ =\ \frac{E\ y}{f_b}\ \ \ \ =\ \ \frac{E\ I}{M}$

Question 22

HORIZONTAL SHEAR STRESS or GENERAL SHEAR STRESS

Accepted Answer

$	au=\frac{VQ}{I\ b}

Question 23

THIN-WALLED ROTATING VESSEL

Accepted Answer

$\sigma = \dfrac{ amma \, v^2}{g}

Question 24

THIN-WALLED ROTATING VESSEL

Accepted Answer

$\sigma = \dfrac{ amma \, v^2}{g}

Question 25

$Maximum\ Shearing\ Stress$ Hollow Circular Section $(	au_{max})$

Accepted Answer

$	au_{max}=\ \frac{4V}{3A}\left(1+\ \frac{D_{o}\ d_{i}}{{D_{o}}^2+{d_{i}}^2\ }ight)$

Question 26

$Maximum\ Shearing\ Stress$ Rectangular Section $(	au_{max})$

Accepted Answer

$	au_{max}=\ \frac{3V}{2A}$

Question 27

$Maximum\ Shearing\ Stress$ Circular Section $(	au_{max})$

Accepted Answer

$	au_{max}=\ \frac{4V}{3A}$

Question 28

FOR CALTECH REFERENCE: FIND ALL INDICATED VARIABLE in APPS

Accepted Answer

KUNG ANO YUNG NASA FORMULA, YUN ANG CALTECH INPUT !!!! CAUTION !!!! $\Sigma y^2\ 
eq{(\Sigma y)}^2$

Question 29

$Product\;of\;Moment\;of\;Inertia$ $I_{xy}=\sum A x y$

Accepted Answer

$I_{xy}=-n\left(\ x\sigma n\ \ y\sigma n\ \right)$ $ I_{yx}=-I_{xy}$

Question 30

Centroidal Moment of Inertia (COMPOSITE Section) $I_{\bar{x}} =\sum \left(I_0+A\;d^{2}\right)$

Accepted Answer

$I_{\bar{x}\ \ }=\sum\left({\ I}_{0x\ }\right)+\ n{(y\sigma n)}^2 $ $I_{\bar{x}\ \ }=\sum\left({\ I}_{0x\ }\right)+\Sigma y^2-\ n{(\bar{y})}^2\ $

Question 31

Centroidal Moment of Inertia (COMPOSITE Section) $I_{\bar{y}} =\sum \left(I_0+A\;d^{2}\right)$

Accepted Answer

$I_{\bar{y}\ \ }=\sum\left({\ I}_{0y\ }\right)+\ n{(x\sigma n)}^2 $ $I_{\bar{y}\ \ }=\sum\left({\ I}_{0y\ }\right)+\Sigma x^2-\ n{(\bar{x})}^2\ $

Question 32

Centroidal Moment of Inertia (Composed of RECTANGULAR section ONLY) $I_{\bar{x}}\ \;\&\;\; I_{\bar{y}}\ =\sum \left(I_0+A\;d^{2}\right)$

Accepted Answer

$I_{\bar{x}\ \ }or\ \ I_{\bar{y}\ \ }=\ \left(\Sigma x^2\div12\right)+\ n{(y\sigma n)}^2\ $

Question 33

$Maximum\;and\;Minimum\ $ $Moment\;of\;Inertia$ $\left(I_{max} \;\&\;\ I_{min}\right) $

Accepted Answer

$I \ \ \ _{min(-)}^{max(+)}=\ \bar{x}\ \pm\ Pol\ \left(x\sigma n\ ,\ y\sigma n\ \right)$

Question 34

WHEN ANALYZING STRESS (determinate or indeterminate), CONSIDER THE INTERNAL FORCE acting on the MATERIAL

Accepted Answer

WHEN ANALYZING STRESS (determinate or indeterminate), CONSIDER THE INTERNAL FORCE acting on the MATERIAL

Question 35

STRAIN

Accepted Answer

$\epsilon = \dfrac{\delta}{L}$

Question 36

in DETERMINING the NUMBER of BOLTS in THIN-WALLED VESSEL

Accepted Answer

$\sigma_{allow}^{bolt}=\ \frac{F}{{\left(no.\ of\ bolts\right)\ \bullet A}_{bolt}}$

Question 37

which PRESSURE VESSEL causes LARGER STRESS

Accepted Answer

TANGENTIAL STRESS CIRCUMFERENTIAL STRESS HOOP STRESS GIRTH STRESS

Question 38

SIMPLE SHEAR STRESS

Accepted Answer

$	au=\ \frac{V}{A_s}$

Question 39

SIMPLE SHEAR STRAIN

Accepted Answer

$\gamma=\ \frac{\delta_s}{L}$

Question 40

SHEAR MODULUS of RIGIDITY REVISED

Accepted Answer

$G=\ \frac{	au}{\gamma}$

Question 41

SHEAR DEFORMATION

Accepted Answer

$\delta_s=\ \frac{V\ L}{A_s\ G}$

Question 42

GENERAL CONCEPT of STIFFNESS

Accepted Answer

$k=\dfrac{Force}{Deformation}=\dfrac{F}{\delta}$ ___________________________ sample Torsional Stiffness $k_T= \dfrac{Torque}{angle\ of\ twist(rads)}

STREMA w/ CALTECH

All cards