Rigid beam ABC is supported by a pinned connection at A and by a 190 mm by 190 mm square timber post that is pin-connected at B and D, as shown. The length dimensions of the beam are x1 = 3.6 m and x2 = 2.8 m. The timber post has a length of L = 5 m and an elastic modulus of E = 12 GPa. %3D If a factor of safety of 2.5 with respect to buckling is specified, determine the magnitude of the maximum distributed load w that may be supported by the beam. B C (1) D

Rigid beam ABC is supported by a pinned connection at A and by a 190 mm by 190 mm square timber post that is pin-connected at B and D, as shown. The length dimensions of the beam are x1 = 3.6 m and x2 = 2.8 m. The timber post has a length of L = 5 m and an elastic modulus of E = 12 GPa. %3D If a factor of safety of 2.5 with respect to buckling is specified, determine the magnitude of the maximum distributed load w that may be supported by the beam. B C (1) D

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 11.6.3P: A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in....

See similar textbooks

Similar questions

A wide-f hinge member (W 10 × 30) is compressed by axial loads that have a resultant P = 20 kips acting at the point shown in the figure. The material is steel with modulus of elasticity E = 29,000 ksi. Assuming pinned-end conditions, determine the maximum permissible length Lmaxif the deflection is not to exceed 1/400th of the length.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.
A retaining wall (Fig. a) is constructed using steel W-shape columns and concrete panel infill (Fig, b). Each column is subjected to lateral soil pressure with peak intensity q0(Figs, b and c). The tensile and compressive strength of the beam is 600 MPa. Select the most economical W 360 section from Table F-l(b) based on safety factor of 3.0.
Solve the preceding problem for an aluminum column with b = 6,0 in., t = 0.5 in., P = 10 kips, and E = 10.6 × 106 ksi. The defied ion at the top is limited to 2.0 in.
A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
A W14 × 53 wide-flange column of a length L = 15 ft is fixed at the base and free at the top (see figure). The column supports a centrally applied load = 120 kips and a load P2= 40 kips supported on a bracket. The distance from the centroid of the column to the load P2is s = 12 in. Also, the modulus of elasticity is E = 29,000 ksi, and the yield stress is y= 36 ksi. Calculate the maximum compressive stress in the column, Determine the factor of safety with respect to yielding.
A wide-flange member (W200 × 22.5) is compressed by axial loads that have a resultant P acting at the point shown in the figure. The member has modulus of elasticity E = 200 GPa and pinned conditions at the ends. Lateral supports prevent any bending about the weak axis of the cross section. If the length of the member is 6.2 m and the deflection is limited to 6.5 mm. what is the maximum allowable load Pallow.
A pinned-end column with a length L = 18 ft is constructed from a W12 x 87 wide-flange shape (sec figure). The column is subjected to a centrally applied load P1=180 kips and an eccentrically applied load P2=15 kips. The load P2acts at a distance s = 5.0 in. from the centroid of the cross section. The properties of the steel arc E = 29,000 ksi and y = 36 ksi. Calculate the maximum compressive stress in the column. Determine the factor of safety with respect to yielding.
A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?