A square pillar is subjected to a compressive force P and a bending moment M (see figure and Table). What is the required side dimension b of the pillar if the allowable stresses in compression Octallow) and in tension Ottallow) are as given in the Table. First letter of your M O ctallow) Oallow) first name (kN) (kN.m) (Мра) (МPа) A to F 3500.0 85.0 18.0 6.0

A square pillar is subjected to a compressive force P and a bending moment M (see figure and Table). What is the required side dimension b of the pillar if the allowable stresses in compression Octallow) and in tension Ottallow) are as given in the Table. First letter of your M O ctallow) Oallow) first name (kN) (kN.m) (Мра) (МPа) A to F 3500.0 85.0 18.0 6.0

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

Determine the safe load of the column section shown, if it has a yield strength of 25 MPa. E = 200000 MPa. Use NSCP Specifications. Fyz248 mpa Properties of Channel Section d = 305 mm t₂ = 7.2 mm A = 3929 mm² t₁ = 12.7 mm Ix=53.7 x 10mm¹ x = 117 mm Properties of W 460 x 74 A = 9450 mm² b = 190 mm ly= 1.61 x 10 mm x = 17.7 mm tw = 9.0 mm rx = 188 mm ry = 41.9 mm d = 457 mm tr = 14.5 mm Ix = 333 x 10 mm Iy = 16.6 x 10mm* 7.21 When the height of column is 6 m. When the height of column is 10 m. Assume K= 1.0 457 CIVIL ENGINEERING- STEEL DESIGN
Tow square bars are welded together and loaded axially as shown: Determine The normal stress between A&B The normal stress between B&C The normal stress between C&D The total change in length of the bar Assume : w1 =40 mm, w2 = 50 mm, P1 = 130 kN, P2= 65 kN, and P3 =260 kN. E = 200,000 Mpa original lengths LAB = 100 mm, LBC = 120 mm, and LCD = 130 mm,
The compound bar carries axial loads as shown. Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 inch and the working stresses listed in the table are not to be exceeded. Steel 2 ft Bronze 4 ft Aluminum 3 ft 2P 3P 4P A (in.?) E (psi) a. (psi) Steel 0.75 30 x 10 20000 12 x 10 10 x 10 Bronze 1.00 18000 Aluminum 0.50 12000
AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 21 kips, w = 3.0 kips/ft, LAB = 3.0 ft, LBC = 3.0 ft, and Lcp = 14.2 ft. Determine the magnitude of the maximum bending stress in the beam. A #1 LAB Answer: Omax = i B LBC C ksi W LCD D X
Problem2. The compression member is shown in figure. Find the following: a. The Euler stress Fe. b. The buckling stress Fcr c. The design strength d. The allowable strength e. Does the member satisfactorily meet the design requirements? Why? HSS 8x 8x4 ASTM AS00, Grade B steel (Fy = 46 ksi) 15'
PROBLEM 2: Determine the smallest safe cross-sectional areas, in mm?, of members Cl and CD for the wooden truss shown below. The working stresses are 10 MPa in tension and 8 MPa in compression. (The working stress in compression is reduced due to the danger of buckling.) 8 kN 4 kN 4 kN FINAL ANSWERS 4 kN 4 kN 4 kN - 4 kN Acı mm? K 3.5 m ACD mm2 A в с D E F PA - 6 @ 4 m = 24 m
A steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Mry + 9 Mex Mey Determine the axial compressive stress if axial load only existed. Pr 8 Mrx + Pe 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa O58.33 MPa 13.33 MPa ≤ 1.0 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to…
Fill in the blanks: The steel rod is stress-free before the axial loads P₁ =169 kN and P2 = 88 kN are applied to the rod. Assuming that the walls are rigid, calculate the axial force in each segment after the loads are applied. Use E-200 GPa. A = 2000 mm² A = 900 mm² A = 1200 mm² Pr B C D 500 mm -250 250 mm 350 mm- ANSWER: KN, PBC = PCD = KN KN, PAB= (express it in whole number) A
5. The rod bar shown has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C and D. The allowable stresses are 125 MPa in steel, 70 MPa in the brass, and 85 MPa in the aluminum. Assume that the allowable stresses are the same for tension (T) and compression (C). (a) Determine the diameter required for the brass bar. (b) Determine the required diameter for the steel bar. (c) Determine the required diameter for the aluminum bar. Express your answer in millimeters. Steel Brass C Aluminum B A 100 kN 85 kN 200 kN 215 kN 0.5 m 0.5 m 0.5 m
AW 12 x 65 column section shown in the figure is pinned at each end and has an additional support in the weak direction at a point 4.1 m from the top. Use X- 4.8 m K 1 for both directions. X+Y Properties of W 12 x 65 A 12323 mm2 - 134.11 mm ry 76.71 mm Fy- 248 MPa Determine the allowable compressive strength (kN).
Problem 1. The composite beam shown below carries a cantilevered load of 10 kN. The beam consists of one 30 x 124 mm plate and four 12 x 50 mm plates. They are pinned together at 120 mm intervals with round pins. The pin material has a shear strength of 159 MPa. Compute the minimum acceptable diameter for the pins. O O O O O O O -0 O 0- O 1000 mm Do O -120 mm (typ) O O O P = 10 KN 30 x 124 mm 12 x 50 mm (typ)
In order to reinforce a column in an existing structure, two channels are continuously welded to the column as shown below. Fy = 50 ksi for both the column and the channels. The effective length with respect to each axis is 16 feet. a) calculate the Moment of Inertia about each axis of the built-up shape. a) what is the available axial compressive strength and what is the percentage increase in strength? Use both LRFD and ASD.