SEC Flashcards
FRICTION f
mu N
IMPENDING MOTION tan theta
f/N or mu
PARABOLIC CABLES highest point
lowest point
max tension
min tension
PARABOLIC CABLES s
integral from leftmost to rightmost of lowest point
SQRT (1+(Wx/To)^2) dx
CENTROIDS Icg
summ Ix + summ Ad^2
CENTROIDS Ix or Iy
Icgx + Aybar^2
or
Icgy + Axbar^2
Icg triangle
bh^3 / 36
Icg circle
D^4*pi/64
Icg trapezoid
h(2a+b) / (3*(a+b))
STRESS
P/A
DEFORMATION triangle
Afd/AE
STRAIN epsilon
deformation / original dimension
MODULUS OF ELASTICITY E
stress / strain
GAMMA STEEL
77kN/m^3
SHEAR STRESS fv
V/nAparallel
BEARING STRESS fp
P/Aperpendicular
TORSIONAL SHEAR STRESS tau
Tp/J
DEFORMATION theta
TL/JG
J FOR SOLID CIRCLES
D^4pi / 32
J FOR HOLLOW CIRCLES
pi(Do^2 - Di^2) /32
FLEXURAL/BENDING STRESS fb
Mc/I
SHEAR STRESS IN BEAMS fv
VQ/Ib
MAX SHEAR STRESS IN TRIANGLES AND RECTANGLES
3V/2A
MAX SHEAR STRESS IN CIRCLES
4V/3A
MOVING LOADS
Centerline of Resultant and largest at centerline of beam
Resultant is sandwiched by the 2 largest point loads
INFLUENCE LINE OF REACTIONS
1 at chosen reax 0 at other
INFLUENCE LINE OF SHEAR AT MIDSPAN
-a/L b/L at midspan
INFLUENCE LINE OF BENDING AT MIDSPAN
ab/L
RADIUS OF CURVATURE p
EI/M
M constant through the length
MAX DEFORMATION for SS full UDL
5wL^4/384EI @midspan
MAX DEFORMATION for Fixed-Fixed full UDL
wL^4/384EI @midspan
MAX DEFORMATION for SS point load at midspan
PL^3/48EI
3 MOMENT EQUATION
MAL1 + 2MB(L1+L2) + MCL2 + [(summ(Pa / L1) * (L1^2 - a^2)] + [(summ(Pb / L2) * (L2^2 - b^2)] = 6EI (h1/L1 + h2/L2)
DOUBLE INTEGRATION METHOD
UDL touches cut
Cut at near supps
SLOPE DEFLECTION METHOD
Mab=FEMab (fixed-fixed)
FEM= Pnf^2/L^2
VIRTUAL WORK METHOD
Forces due to actual, forces due to virtual
L F U AR FUL/AR
RCD Tension T
Asfy steel yielding
Asfs SNY
RCD C
0.85f’c Acompression
RCD MnSRB
phy [T(d-a/2)] or phy [C(d-a/2)]
*Take moment about T or C
RCD MnDRB
C1(d-a/2) + C2(d-d’)
*Take moment about T
YIELD STRESS TENSION STEEL fs
600*(d-c)/c
YIELD STRESS COMPRESSION STEEL
600*(c-d’)/c
fs:phy range
400:0.65 to 1000:0.9
RHO p
As/bd