Answered: 260 Ib/ ft 4 ft 95 lb/ ft 42 Ib-ft E -2…

Engineering

Civil Engineering

260 Ib/ ft 4 ft 95 lb/ ft 42 Ib-ft E -2 ft- 2 ft- 1 ft 1 ft 1 ft 30°

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm² d=927 mm bf=308 mm tf =32 mm tw=19.4 mm Ix=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. What is the eccentric moment(Mx) in KN-m? a. 100 b. 150 c. 175 d. 90 2. Which of the following most nearly gives the actual axial stress? a. 37.2 MPa b. 47.2 MPa c. 27.2 MPa d. 57.2 MPa 3. Which of the following gives the value of critical slenderness ratio? a. 16.86 b. 26.86 c. 46.86 d. 36.86 4. What is the ratio of Allowable axial stress to Actual axial stress (fa/Fa)? a. 0.192 b. 0.172 c. 0.182 d. 0.162 5. What is actual bending stress of the column in MPa? a. 8.2…
The W350x90 section is used as a column 10m long. The column Is fixed at one end and hinged at the other end. Braced at mid height about the weak axis (Y-axis). Use Fy = 248MPa Properties of W350_x 90:, bf = 250 mm d = 350 mm tf = 16.4 mm tw = 9.5 mm lx = 266 x 106 mm4 ly = 44.54 x 106 mm4 A = 11550 mm2 a) Determine the effective slenderness ratio of the column with respect to lateral bucking about the x-axis. b) Determine the effective slenderness ratio of the column with respect to lateral bucking about the y-axis. c) Determine the axial load capacity of the column in kN using NSCP.
A 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm²d=927 mmbf=308 mmtf =32 mmtw=19.4 mmIx=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. What is actual bending stress of the column in MPa? a. 8.2 MPa b. 7.2 MPa c. 9.2 MPa d. 10.2 MPa 2. What is the allowable bending stress of the column? a. 150 MPa b. 143.7 MPa c. 163.7 MPa d. 155.7 MPa
A 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm²d=927 mmbf=308 mmtf =32 mmtw=19.4 mmIx=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. Which of the following gives the value of critical slenderness ratio? a. 16.86 b. 26.86 c. 46.86 d. 36.86 2. What is the ratio of Allowable axial stress to Actual axial stress (fa/Fa)? a. 0.192 b. 0.172 c. 0.182 d. 0.162
A steel column carries an axial load of 787 kN and a moment of 69 kN-m at the top and moment at the bottom which is only70% of the moment at the top. The two moments are in opposite direction and applied about the x-axis and the steel section has the following properties:A = 12974 mm2rx= 109 mmry= 94 mmSx = 1200 x 103 mm3K=1.0L= 3.6 mE = 200,000 MpaFy = 248 MpaUse NSCP specification for compressive stress and Fb =148 Mpa. Questions:Determine the Compressive Stress if Axial load only existed.
A steel column carries an axial load of 787 kN and a moment of 69 kN-m at the top and moment at the bottom which is only70% of the moment at the top. The two moments are in opposite direction and applied about the x-axis and the steel section has the following properties:A = 12974 mm2rx= 109 mmry= 94 mmSx = 1200 x 103 mm3K=1.0L= 3.6 mE = 200,000 MpaFy = 248 MpaUse NSCP specification for compressive stress and Fb =148 Mpa. Questions:Determine the Compressive Stress if Axial load only existed. Note: The answer should close 60 MPA
A W 12 a x 72 is used as a column to carry an axial load P. The column has a fixed . oport at the bottom and hinged at the top. The column has an unsupported height of 6m. Using A 36 steel with Fy = 248 MPa. Es = 200000 MPa. Properties of W 12 x 72 A = 13677A0 mm2 d = 311.15 mm bf= 305.82 mm tf = 17.04 nun tw = 10.92 mm Ix = 248.5 x 106 mm4 Iy = 81.17 x 106 mm4 rx = 134.87 mm ry = 77.22 rnm a) Compute the recommended value of the slenderness ratio. b) Compute the allowable compressive stress. c) Compute the allowable axial load P.
use theses valuesp = 8kNa = 4mb = 8m
The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [E = 200 GPa; I = 351 × 106 mm4]. Determine(a) the beam deflection at point A.(b) the beam deflection at point C.Assume P = 44 kN, w = 87 kN/m, LAB = 4.0 m, LBC = 4.0 m, LCD = 4.0 m, LDE = 2.0 m.Answer:vA = mmvC = mm
Question:- A 7.5 meters long simply supported structural steel beam carries two concentrated loads P at every third points. Use A 572 Grade 65 steel with Fy=448.18 MPa. The beam is W310x23.8 section having the given properties. A=3040mm² d= 305mm tw= 5.6mm bf=101mm tf= 6.7 mm Ix= 43x10⁶ mm⁴ Iy=1.2x10⁶mm⁴ a) Calculate the allowable bending stress of the compression flange of beam 7.5 fully supported against lateral movement. b) Based from the previous question, calculate the value of concentrated load P that the beam could support safety.
4. A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. Properties of W 10 x 77 A = 14581 mm2 Lp = 2.799 m d = 269.24 mm Lr = 13.811 m bf = 258.83 mm Lb = 3 m tf = 22.10 mm Fy = 345 MPa tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm3 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using ASD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using ASD.
At-beam has a width of flange equal to 700mm and a thickness of 100mm. It has an effective depth of 450mm and the width of the web section is 350mm. It is reinforced at the bottom with a steel area of 2925sq.mm. fc'=17.24MPa, fy=413.7MPa. The depth of the compression block is _mm. A. 136.00mmB. 146.00mmC. 126.00mmD. 156.00mm