Member AB is d = 6.5 m long, made of steel, and is pinned at its ends for y-y axis buckling and fixed at its ends for - axis buckling. Est = 200 GPa, oy = 360 MPa. Part A Determine the maximum load P the frame can support without buckling member AB. Express your answer to three significant figures and include appropriate units. μÀ Value Submit Units Request Answer ? 3 m 1 4 m 1 F P ES x+x 50 mm 50 mm 50 mm HH

Member AB is d = 6.5 m long, made of steel, and is pinned at its ends for y-y axis buckling and fixed at its ends for - axis buckling. Est = 200 GPa, oy = 360 MPa. Part A Determine the maximum load P the frame can support without buckling member AB. Express your answer to three significant figures and include appropriate units. μÀ Value Submit Units Request Answer ? 3 m 1 4 m 1 F P ES x+x 50 mm 50 mm 50 mm HH

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 11.4.1P: A fixed-end column with circular cross section is acted on by compressive axial load P. The...

See similar textbooks

Similar questions

A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The column has a length L = 4 m and is designed to support an axial load of 45 kN. Find the minimum required thickness of the section if the factor of safety n = 2.5 with respect to buckling. Assume that the modulus of elasticity is 72 GPa and the proportional limit is 480 MPa.
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 aluminum tube AB with a circular cross section has a sliding support at the base and is pinned at the top to a horizontal beam supporting a load Q = 200 kN (sec figure). Determine the required thickness t of the tube if its outside diameter d is 200 mm and the desired factor of safety with respect to Eu 1er buckling is n = 3.0. (Assume E = 72 GPa.)
A mountain bike rider going uphill applies a force P = 65 N to each end of the handlebars AB CD, made of aluminum alloy 7075-T6, by pulling on the handlebar extenders (DF on right handlebar segment). Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A), Segments AB and CD are prismatic with lengths Lvand L3 and with outer diameters and thicknesses J01, /01 and d03, /03, respectively, as shown. Segment BC of length L2, however, is tapered, and outer diameter and thickness vary linearly between dimensions at B and C Consider shear, torsion, and bending effects only for segment AD; assume DFis rigid. Find the maximum tensile, compressive, and shear stresses adjacent to support A. Show where each maximum stress value occurs
7 ft 5 ft The assembly shown above includes column AB, which has the following properties: Pinned (top and bottom) for buckling about x-axis Free at top and fixed at bottom for buckling about y-axis Circular cross-section with 8-inch diameter E = 10000 ksi Which of the following is closest to the critical buckling force of column AB? O Per = 269 kip O Per = 1080 kip O Per = 538 kip O Per = 135 kip
4. The cable will fail when subjected to a tension of 8000 N. Determine the largest vertical load P the frame will support and compute theresultant internal loadings at the cross section through point C. Answer: P = 2133.33 N, Mc = 1600 Nm, Nc = 8000 N, Vc = 2133.33 N 0.1 m 0.5 m C 0.75 m- -0.75 m- -0.75 m-
5. Determine the greatest load P the frame will support without causing the A-36 steel member BC to buckle. Due to the forked ends on the member, consider the supports at B and C to act as pins for x-x axis buckling and as fixed supports for y-y axis buckling. Given E = 200 Gpa. -1.2 m- -1.2 m- 0.9 m 75 mm 25 mm Figure 5
1. Determine the allowable load P the frame will support without causing the circular steel member BC of diameter d to buckle. (Use n = 2.5 and C = 1). Given E=200GPA, S-500 MPa. (check only for in-plane buckling). d=65 Im P d mm You will find d (in mm) given in the data sheet for cach student.
The assembly shown in (Figure 1) consists of two 2014-T6 aluminum rods CD and EF having a diameter of d = 40 mm, an A992 steel rod AB having a diameter of 30 mm, and a rigid member G. The supports at A, D, and Feach have a stiffness of k= 300 MN/m. Assume L=770 mm. Figure D 8 B 100 KN 30 mm G ret F E 100 kN 400 mm. L 1 of 1 Part A Determine the average normal stress developed in rod AB when the load is applied. Express your answer to three significant figures and include the appropriate units. = 86.2 MPa AB= Submit Previous Answers Correct Part B Determine the average normal stress developed in rod CD when the load is applied. Express your answer to three significant figures and include the appropriate units. OCD = 16.54 HA Submit Previous Answers Request Answer Part C MPa * Incorrect; Try Again; 4 attempts remaining JEP = 16.54 Determine the average normal stress developed in rod EF when the load is applied. Express your answer to three significant figures and include the appropriate…
just final answer A rigid component ABC is supported by a pin-connected member (1). The member has a rectangular cross-section with dimensions of 54 mm and 48 mm. The elasticity modulus of the material is 169 GPa. If L1=2421 mm, L2=1226 mm, L3=2272 mm, and L4=2072 mm; Determine the maximum normal stress (MPa) in member (1) without buckling.
The 2014-T6 aluminum rod AC is reinforced with the firmly bonded A992 steel tube BC (Figure 1) The assembly fits snugly between the rigid supports so that there is no gap at C. An axial force of P-420 kN is applied. The assembly is attached at D. Figure 400 100m 50 mm. A wel 1 of 1 > 25 mil 2014-16 aluminum alloy Seationa Part A Determine the support reaction at C Express your answer to three significant figures and include appropriate units. Fo- Submit Part B Value Fo- Request Answer Determine the support reaction at D. Express your answer to three significant figures and include appropriate units. HA Value Units → ? Units
A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C L d Lateral B bracing L