2
Axially Loaded Numbers
Changes in Lengths of Axially Loaded Members
Problem 2.2-1 The T-shaped arm ABC shown in the figure lies in a vertical plane and pivots about a horizontal pin at A. The arm has constant cross-sectional area and total weight W. A v
3
Torsion
Torsional Deformations
Problem 3.2-1 A copper rod of length L 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0. If the allowable shear strain in the copper is 0.0006 rad, what is
Useful solutions to standard problems
Introduction and synopsis
Modelling is a key part of design. In the early stage, approximate modelling establishes whether the concept will work at all, and identifies the combination of material properties which maxi
TEST 1 STATICS FORMULAS VECTOR ALGEBRA Vector Addition, Three Dimensions v ^ ^ F = FX i + FY ^ + FZ k Cartesian components of a vector F, j where FX = F cos( X ), FY = F cos( Y ), FZ = F cos( Z ) . v v v ^ ^ R = F + S = ( FX + S X )i + ( FY + S Y ) ^ + (
TEST 2 STATICS FORMULAS CENTROIDS/CENTER OF GRAVITY Center of Gravity - Continuums x W = xdW yW = ydW Centroids of Areas - Continuums x A = xdA yA = ydA Centroids of Composite Areas (n discrete shapes) x=
n n
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z W = zdW
x A
i =1 n i
i
A
i =1
y=
y A
TEST 3 STATICS FORMULAS CABLE FORMULAS Uniformly loaded cable (parabolic cable): w
y
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y2 y1 x1 L x2
x
H = internal horizontal force in the cable from statics, x1 = wx 2 L for y2 > y1, and H = 1 2 y1 y2 +1 y1
Additional formulas from Cheng text (in t