A column ABC is supported at ends A and C and compressed by an axial load P (figure (a)). Lateral support is provided at point B but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at A and C. The column is constructed of two channel sections (C 6 x 8.2) back to back (see figure (b)). The modulus of elasticity of the column is E = 29,100 ksi and the proportional limit is 50 ksi. The height of the column is L = 13 ft. P L 3 B 2L X X 3 Section X-X A (a) (b) P=D=D== =====

A column ABC is supported at ends A and C and compressed by an axial load P (figure (a)). Lateral support is provided at point B but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at A and C. The column is constructed of two channel sections (C 6 x 8.2) back to back (see figure (b)). The modulus of elasticity of the column is E = 29,100 ksi and the proportional limit is 50 ksi. The height of the column is L = 13 ft. P L 3 B 2L X X 3 Section X-X A (a) (b) P=D=D== =====

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A long, slender bar in the shape of a rightcircular cone with length L and base diameter dhangs vertically under the action of its own weight(see figure). The weight of the cone is W and the modulusof elasticity of the material is E.Derive a formula for the increase d in the lengthof the bar due to its own weight. (Assume that theangle of taper of the cone is small.)
A rigid triangular frame is pivoted at C andheld by two identical horizontal wires at points Aand B (see figure). Each wire has an axial rigidityEA =120 kips and coefficient of thermal expansionα =12.5 X 10-6 / °F .(a) If a vertical load P = 500 lb acts at point D,what are the tensile forces TA and TB in the wiresat A and B, respectively?
A solid steel bar of diameter d, = 45.0 mm is enclosed by a steel tube of outer diameter dz = 52.5 mm and inner diameter d, = 50.0 mm (see figure). Tube Bar End plate -dz Both bar and tube are held rigidly by a support end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.) (a) Determine the maximum shear stresses r, and r, (in MPa) in the bar and tube, respectively. (Enter the magnitudes.) MPa 72 MPa (b) Determine the angle of rotation o (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.) (c) Determine the torsional stiffness k- (in kN · m/rad) of the composite bar. kN - m/rad
a steel clamped manhole cover, subjected to uniform load Po, consists of a flat plate reinforced by equidistant steel stiffeners and is elliptical in form (look at figure). the material properties are made of steel with E = 200 Gpa, v = 0.3, s = 20O mm, t = 20 mm, I = 12 x 10^-7 m^4 and a = 2b = 4m. compute the maximum displacement w, assuming that principal x and y axes of the ellipse and the material coincide
A 1000 N uniform beam at angle α = 60.0° with respect to horizontal is supported by a cable at angle β = 30.0° with respect to the horizontal. See figure. The beam is pivoted at the bottom and an object of weight w = 1500 N hangs from its top. Find: a) the tension in the support cable; b) the components of the reaction force exerted by the floor on the beam.
please solve this example in short way.
Consider a uniform rod of 1m length having rectangular cross section (see figure) with one end clamped and another end free to vibrate. If a static force F is applied at the free end the deflection y is given by y =F. Here a > b and Y is Yab the Young's modulus. y= 4 F Yab Consider the case with a =4.7 cm and b=1.7 cm. Suppose a heavy mass is attached at the free end of the rod and given a small deflection along a arbitrary direction parallel to the cross section, then the observed frequency of small oscillation along the 4.7 cm side is 50 Hz. Write the numerical value of the frequency of oscillation (in Hz) in the perpendicular direction in two decimal places.
Three prismatic bars, two of material A andone of material B, transmit a tensile load P (see figure).The two outer bars (material A) are identical. Thecross-sectional area of the middle bar (material B)is 50% larger than the cross-sectional area of oneof the outer bars. Also, the modulus of elasticity ofmaterial A is twice that of material B.(a) What fraction of the load P is transmitted bythe middle bar?(b) What is the ratio of the stress in the middle barto the stress in the outer bars?(c) What is the ratio of the strain in the middle barto the strain in the outer bars?
A steel clamped manhole cover, subjected to uniform load Po, consists of a flat plate reinforced by equidistant steel stiffeners and is elliptical in form (look at figure). the material properties are made of steel with E = 200 Gpa, v = 0.3, s = 200 mm, t = 20 mm, I = 12 x 10^-7 m^4 and a = 2b = 4m. compute the maximum displacement w, assuming that principal x and y axes of the ellipse and the material coincide.
A joint between two concrete slabs A andB is filled with a flexible epoxy that bonds securelyto the concrete (see figure). The height of the jointis h = 4.0 in., its length is L = 40 in., and its thicknessis t = 0.5 in. Under the action of shear forcesV, the slabs displace vertically through the distanced = 0.002 in. relative to each other. (a) What is the average shear strain Υaver in theepoxy?(b) What is the magnitude of the forces V if theshear modulus of elasticity G for the epoxy is140 ksi?
A steel cantilever beam, of length L=2 m, has a hollow rectangular cross-section, see Figure Q3. The outside width and height of the rectangular cross-section are b=101 mm and h=283 mm, respectively, and the wall thickness is 8 mm. A point force of P=243 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [o] = 356 MPa. The coordinates of Point H are x=-75 mm, y=0 mm, z= -46.5 mm . X O P 8 mm 75 mm ← H X O P N Q_1 (a) the factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)
A steel wire (E = 200 GPa) of diameter d = 1.0 mm is bent around a pulley of radius R0 = 400 mm (see figure below).a. What is the maximum stress in the wire?b. Does the stress increase or decrease if the radius of the pulley is increased?