Question 3 The roof beams of a warehouse are supported by pipe columns having outer diameter d2 = 100 mm and inner diameter di 90 mm. The columns have length L 4 m, modulus of elasticity E 210 GPa, and fixed supports at the base (Figure Q3) Calculate the critical load Per of one of the columns using the followng assumptions the upper end is pinned and the beam prevents horzontal displacements,, 31 the upper end is fixed against rotation and the beam prevents hozontal displacements, 3.2 33 the upper end is pinned, but the beam is free to move horizontally, the upper end is fixed aganst rotation, but the beam is free to move honzontally 34 Pipe column 4 m Figure Q3

Question 3 The roof beams of a warehouse are supported by pipe columns having outer diameter d2 = 100 mm and inner diameter di 90 mm. The columns have length L 4 m, modulus of elasticity E 210 GPa, and fixed supports at the base (Figure Q3) Calculate the critical load Per of one of the columns using the followng assumptions the upper end is pinned and the beam prevents horzontal displacements,, 31 the upper end is fixed against rotation and the beam prevents hozontal displacements, 3.2 33 the upper end is pinned, but the beam is free to move horizontally, the upper end is fixed aganst rotation, but the beam is free to move honzontally 34 Pipe column 4 m Figure Q3

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.19P: Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe...

See similar textbooks

Similar questions

A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure). The copper bar has a length of 2.0 m, a cross-sectional area of4S00 mm", and a modulus of elasticity Ec= 120 GPa. Each steel post has a height of 0.5 m, a cross-sectional area of 4500 mm2, and a modulus of elasticity E = 200 GRa. (a) Determine the downward displacement
A horizontal rigid bar AB supporting a load P is hung from Five symmetrically placed wires, each of cross-sectional area A (see figure). The wires are fastened to a curved surface of radius R. (a) Determine the plastic load Ppif the material of the wires is elastoplaslic with yield stress trr. (b) How is Pp changed if bar AB is flexible instead of rigid? (c) How is PPchanged if the radius R is increased?
Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe column has a modulus of E, but heights (L1or L2) and outer diameters (d1or different for each column. Assume the inner diameter of each column is 3/4 of outer diameter. Uniformly distributed downward load q = 2PIL is applied over a distance of 3L/4 along BC, and concentrated load PIA is applied downward at D. (a) Derive a formula for the displacement
A weight W = 4500 lb falls from a height h onto a vertical wood pole having length L = 15 ft, diameter d = 12 in., and modulus of elasticity E = 1.6 × 106 psi (see figure). If the allowable stress in the wood under an impact load is 2500 psi. what is the maximum permissible height h?
A rigid bar ACB is supported on a fulcrum at C and loaded by a Force P at end B (see figure). Three identical wires made of an elasloplastic material (yield stress oYand modulus of elasticity E) resist tbe load P. Each wire has cross-sectional area A and length L. (a) Determine the yield load PYand the corresponding yield displacement Syat point B. (b) Determine the plastic load PPand the corresponding displacement
A stepped bar ACB with circular cross sections is held between rigid supports and loaded by an axial force P at midlength (see figure). The diameters for the two parts of the bar are d1= 20 ram and d2= 25 mm, and the material is elastoplastic with yield stress s = 250 MPs. Determine the plastic load Pp.
A rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and B (see figure). Each wire has an axial rigidity EA = 120 kips and coefficient of thermal expansion a = 12.5 X 10-6/°F. (a) If a vertical load P = 500 lb acts at point D, what are the tensile forces TAand TBin the wires at A and B, respectively? (b) If both wires have their temperatures raised by 180°F while the load P is acting, what are the forces TAand TB (c) What further increase in temperature will cause the wire at B to become slack?
A rigid bar AB having a mass M = 1.0 kg and length L = 0.5 m is hinged at end A and supported at end B by a nylon cord BC (see figure). The record has cross-sectional area A = 30 mm2. length b = 0.25 m. and modulus of elasticity E = 2.1 GPa. If the bar is raised to its maximum height and then released, what is the maximum stress in the cord?
Segments A B and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of SO N/m acts on EC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, Y, and Mat x = 5m. (c) Repeat parts (a) and (b) for die case of the roller support at C replaced by a linear spring of stiffness kr™ 200 kN/m (see figure).
Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa.
A wide-flange column with a bracket is fixed at the base and free at the top (see figure). The column supports a load P1= 340 kN acting at the centroid and a load P2= 110 kN acting on the bracket at a distance S = 250 mm from the load P1The column is a W 310 X 52 shape with L = 5 m, E = 200 GPa, and y = 290 MPa. What is the maximum compressive stress in the column? If the load P1remains at 340 kN, what is the largest permissible value of the load P2in order to maintain a factor of safety of 1.8 with respect to yielding?
A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?