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a rectangular column with cross-sectional dimensions b and h is pin-supported at ends a and c see figure at midheight
three identical solid circular rods each of radius r and length l are placed together to form a compression member see
three pinned-end columns of the same material have the same length and the same cross-sectional area see figure the
the roof over a concourse at an airport is supported by the use of pretensioned cables at a typical joint in the roof
the figure shows an idealized structure consisting of one or more rigid bars with pinned connections and linearly
a slender bar ab with pinned ends and length l is held between immovable supports see figure what increase t in the
a long slender column abc is pinned at ends a and c and compressed by an axial force p see figure at the midpoint b
the hoisting arrangement for lifting a large pipe is shown in the figure the spreader is a steel tubular section with
determine the moments and product of inertia with respect to the x1y1 axes for the rectangle shown in the figure note
calculate the moment of inertia id for a w 12 times 50 wide-flange section with respect to a diagonal passing through
determine the angles thetap1 and thetap2 defining the orientations of the principal axes through the centroid c for
determine the angles thetap1 and thetap2 defining the orientations of the principal centroidal axes and the
idealized buckling modelsthe figure shows an idealized structure consisting of one or more rigid bars with pinned
calculate the moment of inertia ix for the composite circular area shown in the figure the origin of the axes is at the
the wide-flange beam section shown in the figure has a total height of 250 mm and a constant thickness of 15
using integration determine the product of inertia ixy for the quarter-circular spandrel shown in case 12 appendix
calculate the moment of inertia ixc with respect to an axis through the centroid c and parallel to the x axis for the
for the beam cross section described in prob 123-5 calculate the centroidal moments of inertia ixc and iyc with respect
the moment of inertia with respect to axis 1-1 of the scalene triangle shown in the figure is 90 times103 mm4 calculate
polar moments of inertiadetermine the polar moment of inertia ip of an isosceles triangle of base b and altitude h with
determine the moment of inertia ic with respect to an axis through the centroid c and parallel to the x axis for the
calculate the moments of inertia i1 and i2 of a w 16 times100 wide-flange section using the cross-sectional dimensions
a semicircular area of radius 150 mm has a rectangular cutout of dimensions 50 mm times100 mm see figure calculate the
find the relationship between the radius r and the distance b for the composite area shown in the figure in order that
a heat pump receives heat from a lake that has an average winter time temperature of 6degc and supplies heat into a