SAMPLE PROBLEM 2: VSE LRFD Steel column 3.6m long and hinged at both ends is used to carry an axial load of 1000kN. The column is subjected to end moments (reverse curvature) with M₁ = 90%M₂. Fy = 248MPa, E = 200GPa. The allowable axial stress Fa = 115 MPa and the allowable bending stress Fb = 149 MPa. The properties of the section are: A = 0.013m² Sx=0.00012 m³ rb = 94mm a) Determine the computed (actual) axial stress of the column. b) Determine the computed (actual) bending stress of the column. c) Determine the moment capacity of the column.

SAMPLE PROBLEM 2: VSE LRFD Steel column 3.6m long and hinged at both ends is used to carry an axial load of 1000kN. The column is subjected to end moments (reverse curvature) with M₁ = 90%M₂. Fy = 248MPa, E = 200GPa. The allowable axial stress Fa = 115 MPa and the allowable bending stress Fb = 149 MPa. The properties of the section are: A = 0.013m² Sx=0.00012 m³ rb = 94mm a) Determine the computed (actual) axial stress of the column. b) Determine the computed (actual) bending stress of the column. c) Determine the moment capacity of the column.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The wood beam has a rectangular cross section in the proportion shown. The allowable bending stress iss =10 MPa. 500 N/m 1.5 b OB - x m 2 m 2 m Calculate the centroid of the cross section of the beam O (1.5b, 1.5b] O (1.5b/2), (1.5b/2)] O (0.(1.5b/2)] O (0,0) [(1.5b/2), 0] O (0, 1.5b)
Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁-60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection VD of point D on the rigid bar. (c) the load P. Answers: (a) σ₁ = (b) VD = i (c) P = Mi i L₁ a (1) B L2 b in. C ksi, 0₂ = i kips. с tel D P ksi.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 27800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.63 in.2 and bar (2) has a cross-sectional area of 0.39 in.2. After load P is applied, the strain in bar (1) is found to be 720 με. Assume L1=56 in., L2=89 in., a=30 in., b=37 in., and c=33 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.
The strain in the x direction at point A on the A-36 structural-steel beam is measured and found to be εx = 217 x 10^6. Determine the applied load P. What is the shear strain γxy at point A?
An aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B, = 0.8 m; B, = 1.0 m; B3= 0.6 m. Determine the axial stress of bar B; in MPa. 35KN B1 B2 ВЗ ... 10KN 15KN 30KN A 218.75 B 125 C 62.5 D 31.25
P A B 1m E 1m 2m The simply supported beam shown has a solid rectangular cross section having beam width of 130mm and a height of 200mm. Assuming values of P = 25KN, w = 30 kN/m, and E = 5m, determine: 1) The max tensile bending stress in MPa (enter this value into D2L answer box, in MPa). Exactly where does this occur along the beam? (4 sigs) 2) The max shear stress in MPa. Exactly where does this occur along the beam? ( 4 sigs) Your Answer:
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.73 in.² and bar (2) has a cross-sectional area of 0.47 in.². After load P is applied, the strain in bar (1) is found to be 800 με. Assume L₁-52 in., L₂=90 in., a-36 in., b-34 in., and c-23 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) L₁ B C a Answers: (a) σ₁ = (b) VD = (c) P = i i L2 b C ksi, 0₂ = i in. kips. D P ksi.
Radius = 2 Find normel stress at pointA ? Find sheun stren at point A ? pnt A in
A flat bar of a width b = 60 mm and thicknesst = 10 mm is loaded in tension by a force P (seefigure). The bar is attached to a support by a pin ofa diameter d that passes through a hole of the samesize in the bar. The allowable tensile stress on the netcross section of the bar is σT = 140 MPa, the allowableshear stress in the pin is τS = 80 MPa, and theallowable bearing stress between the pin and the baris σB 5 200 MPa.(a) Determine the pin diameter dm for which theload P is a maximum.(b) Determine the corresponding value Pmax of theload.
A beam ABC with an overhang from B toC supports a uniform load of 200 lb/ft throughout itslength (see figure). The beam is a channel section withdimensions as shown in the figure. The moment of inertiaabout the z axis (the neutral axis) equals 8.13 in4.(a) Calculate the maximum tensile stress σt andmaximum compressive stress σc due to theuniform load.(b) Find the required span length a that results inthe ratio of larger to smaller compressive stressbeing equal to the ratio of larger to smaller tensilestress for the beam. Assume that the totallength L =a + b = 18 ft remains unchanged.
2. A two-element aluminium shaft ABC (G sections B and C as shown in Figure. The outer diameter of the shaft is d, = d, = 50 mm. = 35 GPa) is subjected to external torques at The inner diameter of element (2), di2, is to be determined such that the maximum shear stress in the shaft does not exceed the allowable shear stress tallow = 35 MPa and the total = 4.6°. Express your answer, di2, to the nearest even angle of twist does not exceed oallow mm that satisfies the two criteria. d, = 50 mm %3D 400 N m 400 N m (1) (2) - 0.8 m B.
2) The rigid bar ABC is horizontal before the load Pis applied as shown in the figure. Determine the maximum safe value of P if the stress in the steel bar is limited to 300 MPa and the stress in copper bar is limited to 140 MPa. Use E = 200 GPa for steel and E 120 GPa for copper. Neglect the weight of the bar ABC. D copper bar. A=520mm? steel bar. A=320mm B 2.00m 1.00m 1.00m 1.00m 1.50m