Question 5 of 5 A column with a length of 8 m that is pinned on both ends. The column is made of a steel I- beam whose web is 250 mm by 6 mm thick and flanges are 1,255 mm wide by 9 mm thick. The Modulus of Elasticity for material is 250 GPa. a. Find the Euler Load for this Column. b. If the FS is 2.75, what is the maximum allowable load for this column? Answer using this format: A. GIVEN B. FORMULA C. SOLUTION with unit analysis D. FINAL ANSWER

Question 5 of 5 A column with a length of 8 m that is pinned on both ends. The column is made of a steel I- beam whose web is 250 mm by 6 mm thick and flanges are 1,255 mm wide by 9 mm thick. The Modulus of Elasticity for material is 250 GPa. a. Find the Euler Load for this Column. b. If the FS is 2.75, what is the maximum allowable load for this column? Answer using this format: A. GIVEN B. FORMULA C. SOLUTION with unit analysis D. FINAL ANSWER

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 11.2.13P: An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic...

See similar textbooks

Similar questions

A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
An idealized column consists of rigid bar ABCD with a roller support at B and a roller and spring support at D. The spring constant at D. is ß = 750 N/m. Find the critical load Pcrof the column.
A fixed-end column with circular cross section is acted on by compressive axial load P. The IS-ft-long-column has an outer diameter of 5 in., a thickness of 0.5 in., and is made of aluminum with a modulus of elasticity of 10,000 ksi. Find the buckling load of the column.
An idealized column is made up of rigid segments ABC and CD that are joined by an elastic connection at C with rotational stiffness ßR= 100 kip-in./rad. The column has a roller support at B and a sliding support at D. Calculate the critical load Pcrof the column.
Continuous cable A DB runs over a small friction less pulley al D to support beam OABC, which is part of an entrance canopy for a building (see figure}. The canopy segment has a weight W = 1700 lb that acts as a concentrated load in the middle of segment AB. (a) What is the maximum permissible value of load P at C if the allowable force in the cable is 4200 lb? (b) If P = 2300 lb, what is the required diameter of pins A, B, and D? Assume that the pins are in double shear and the allowable shear stress in the pins is 10 ksi.
Question 4 of 5 A column with a length of 6 m is fixed at one end and free at the other end. The column is made of a steel I-beam whose web is 250 mm by 9 mm thick and flanges are 175 mm wide by 15 mm thick. The Modulus of Elasticity for steel is 200 GPa. a. Find the Euler Load for this Column. b. If the FS is 3.5, what is the maximum allowable load for this column? Answer using this format: A. GIVEN B. FORMULA C. SOLUTION with unit analysis D. FINAL ANSWER
Calculate the crippling load for a column using Euler's theory for long columns, whose effective length is 4 m. Take modulus of elasticity as 'E' kN/m² and moment of inertia as 'I' m4. Consider that both ends of the column are fixed. 1. 0.500 T² El kn 2. 0.0255 m² EI KN 3. 0.0625 T² EI KN 4. 0.025 T² EI KN
Find the load on each bar of the cage given below. Its dimensions are base 2a and height 3a. EB passes through the midpoint of the lattice. Angle of force F1= 700 with horizontal (choose an angle between 15o and 75o)
PROBLEM 2 The aluminum bar with cross-sectional area of 160 mm2 carries the axial loads at the position shown in the figure. Given that E=70-Gpa, compute the total change in length of the bar. 35kN 15KN 30kN 10kN 0.8 m 1.0 m 0.6 m
Examine the rod below. It is fixed into a wall at the left hand end. From the wall to point B is 200mm. BC is 200mm long and CD is 200mm long. (Centreline to centreline distances). Point A lies on the positive Y-axis on a cross section halfway along BC. Three forces are applied at D. P=221.6, your individual load, is parallel to the z-axis. 400N is parallel to the y-axis and 200N is parallel to the x axis. The rod is a tube with an 80mm outer diameter and a wall thickness of 5mm. What is the net sigma (s) and the net tau (t) at Point A? Show all your working. Make sure you clearly indicate the direction/sign of each stress you calculate.