Question 3The 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 ofelasticity E 210 GPa, and fixed supports at the base (Figure Q3)Calculate the critical load Per of one of the columns using the followng assumptionsthe upper end is pinned and the beam prevents horzontal displacements,,31the upper end is fixed against rotation and the beam prevents hozontal displacements,3.233the 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 honzontally34Pipe column4 mFigure Q3

Answered: Question 3 The roof beams of a…

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

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Q1 (а) A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 N acting at the top. P2 is applied around the cap plate at B. The outer diameters and thicknesses of the upper and lower parts of the post are dAB = 30 mm, tu =1A mm, dzc = 50 mm, and t3c =9 mm , respectively. A=1 B=0 (i) Calculate the normal stress o AR on the upper part of the post. (ii) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P,? (111) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thickness of BC that will result in the same compressive stress in both parts?
Find the forces in CE and DE of the truss shown in Figure (6) below (indicate tension or compression). Assume all joints are pinned. "tan (2+5) = 56.3² H pe 0.67 B 1m 1m C 1KN 1m 1m 1m F Figure (6) FDE = 0.4 kN (C) & FCE = 0.67 kN (T) 10% bis -75 0.75m G PNG 6-3-1+NG 3 NG= mbination of the method of joints
A uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN. Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position. Calculate the stress in each rod due to the applied load. Calculate the movement (extension) of the support wires under this 10 kN load. Will the rods be able to withstand the applied load? Motivate your answer.
The stress-strain plot of the polyester resin material is given in the figure. The AC beam is supported by the AB rod and CD column made of this material and is subjected to a single load of P = 80 kN. As the diameter of AB rod is 40mm and diameter of CD column is 80mm(a) What is the modulus of elasticity? Calculate the elasticity coefficient of the material whose stress-strain graph is given.(b) Find the slope of the AC rod after loading.
5. Determine the allowable axial load PA for a W250 x 67 steel wide-flange column with pinned ends (see figure below) using a Factor of Safety n=1.5 for the following lengths: L-3 m, 5m, 8 m and 10 m. Assume E-200,000 MPa, and G-300 MPa. 7 L A Pl A ISTE Section A-A
A steel bar with a circular cross section, AC, is built in at both ends (A and C) and is subjected to a 300N point load at B, 300mm from point A, as shown in the figure below. The bar has a diameter of 8 mm and the material has a Young's modulus of 200GPa. Determine the magnitude of the reaction force at A? O O O O 380 N 150 N Don't Know 210 N 300 N 300mm B 300 N 700mm
5. A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see figure below). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section with E= 200 GPa. The distance between lateral supports is L = 6.0 m. Calculate the allowable load P using a factor of safety n = 2.0, taking-int- account the possibility of Euler buckling about either principal centroidal axis (i.e., axis 1-1 or axis 2- 2). Use Table F-1(b) in Appendix F (attached) to find section values. X B A ======================= X L L 2 W 250 x 67 Hi 2 Section X-X
40 men D Steel t-200 GPa The rigid beam (ABC) supported by three bars, One from the top and two from the bottom. A vertical downward load of W= 60 kN is applied at point B . shown in figure is 200m 50 mm D Brass E-100 GPe 250mm A- Estimate the stress acting on each bar. B- Estimate the downward movement of the beam (АВС).

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