5. Two C310x45 channels are latticed together so they have equal moments of inertia about the principal axes. Determine the minimum length of column having this section, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for the length of 12 m with a factor of safety of 2.5? %3D

5. Two C310x45 channels are latticed together so they have equal moments of inertia about the principal axes. Determine the minimum length of column having this section, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for the length of 12 m with a factor of safety of 2.5? %3D

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.6.11P: A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a...

See similar textbooks

Similar questions

A brass bar of a length L = 0.4 m is loaded at end B by force P = 10 kN with an eccentricity e = 6mm. The bar has a rectangular cross section with an h/b ratio of 1.5. Find the dimensions of the bar if the deflection at the end is limited to 4 mm. Assume that E = 110 GPa.
A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?
The uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.
The rigid bar ABC is supported by pin at A and aluminum wire BD, is horizontal before the Load P is applied. Find the vertical displacement of point C caused by the load P=35KN. Where E of aluminum equals 70GPA and the area of the wire is 200mm^2 -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
A solid steel post is subjected to pure torsion. Given: -post Diameter = 65 mm -length = 2.75 m -torque = 2.4 kN-m -shear Modulus of Elasticity = 78 GPa Question: What is the Polar Moment of Inertia of the Post?
A central horizontal section of a hook is a symmetrical trapezium of inner width=67.5mm and of outer width =22.5mm. The depth of the section is 90mm. The hookcarries a load of 37.5kN. The load line passes through the centre of curvature. Theradius of the hook is 52.5mm. Determine the maximum compressive and tensilestresses in the section of the hook.
The bar ABC is fixed at the left end and has the load P applied at C. Find the displacement c (in mm) if P= 200 kn,t= 20 mm and E= 96 GPa. the cross section is rectangular.
Determine the equivalent stiffness of a cantilever beam which is loaded transversely on its end and has a length in 5000 mm and an annular cross section with inner and outer diameters of 25 mm and 22 mm, respectively. The modulus of elasticity of the beam is 72x109 N/m2. Use moment of inertia I=π(D4o−D4i)/64 and spring constant is (k= 500 N/m). Answer must be in three decimal places.
Steel bar in shape, AAB 600 mm and ABc = DACD3D 1200 mm2 are made of two stages. Determine the displacement at end A in (mm). E = 200 GPa
A slightly tapered bar AB of solid circularcross section and length L is supported at end B andsubjected to a tensile load P at the free end A. Thediameters of the bar at ends A and B are dA and dB,respectively. Determine the length of the bar if theelongation of the bar due to the load P = 45 kipsis 0.02 in. Assume that E = 10,400 ksi.
Find the amount of depression in mm at the midpoint of the bar AB.Mo = 1kNm, L = 1m, E = 200 GPa, I=1x106 mm4
The rod BD is made of material with G1= 33 GPa has a diameter 46 mm is bonded to the tube CA at point B, the tube made of material with G2=56 GPa has an outer diameter 97 mm and wall thickness of 8 mm. If T1=1268 N.m and T2=2282 N.m, answer the following questions: The polar moment of inertia of the rod BD is The polar moment of inertia of the tube CA is The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is The angle of twist between C and B is The reaction at point A is