Exercise23.7 A column of hollow rectangularcross-section and made of steel plates is shown inFig. 23.13. The thickness of the section is 2.5 mmthroughout. The plate material is steel 30C8 (S,400 N/mm and E= 207 000 N/mm). The end fixitycoefficients cam be taken as 1.5 and 1 for bendingabout long and short axes respectively. The effectivelength of the column is 1 m. Determine the loadcapacity of the column from buckling consideration.2.5-2030Fig. 23.13 Cmss-section of Hollow Column

Given:- The cross-section of the hollow rectangular column is given The thickness of the section =…

Answered: Exercise23.7 A column of hollow…

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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Given a cantilever beam of length L=4.0meters. The left support “A” is fixed while the right end “B” is free. With constant EI=20000 KN-m2. A downward uniform load of 78KN/m is applied all throughout its span. Using Area Moment Method (AMM), calculate the deviation of A when a tangent line is drawn at B, i.e. tA/B? Express your answer in "millimeters" in 2 decimal places. Include negative (-) sign if tA/B is negative.
For the built-up shape shown in the figure, determine: a. The location of the plastic neutral axis from the top edge of the flange in mm (ANS 11). b. The plastic section modulus of about the horizontal axis in x106mm3 (ANS 0.214) c. The plastic moment with bending about the vertical axis if Fy = 345 Mpa kN-m. round of to the nearesrt whole number (ANS 43).
Given a cantilever beam of length L=4.5meters. The left support “A” is fixed while the right end “B” is free. With constant EI=20000 KN-m2. A downward uniform load of 56KN/m is applied all throughout its span. Using Area Moment Method (AMM), calculate the deviation of B when a tangent line is drawn at A, i.e. tB/A? Express your answer in "millimeters" in 2 decimal places. Hint: tB/A = deflection at free end. Include negative (-) sign if tB/A is negative.
Replace the loading system by an equivalent resultant force and couple moment acting at point ?. Length AB = 1m Length BC = 2m F1 = 80 N F2 = 60 N F3 = 120 N Angle with respect to x-axis = 32 degrees Moment couple = 195 Nm
Problem 2. Determine the following unknowns on the beam shown below using Area-Moment Method. Consider 150 mm x 150 mm section and E = 80 GPa. Show complete and organized solution. Round-off your answers to two decimal places. QUESTIONS: a. Vertical Reaction at B in kN. b. Moment Reaction at A in kN-m. c. Deflection at point C in mm. d. Deflection at midspan of AB in mm. GIVEN: a. 3.1 b. 18.0 c. 20 d. 62
determine the vertical reaction at B in kN using any Geometric Method. Consider 250 mm x 400 (b x h) mm section and E = 100,000 MPa. Enter the absolute value only and round-off your answer to 3 decimal places
Solve for the x-component (in cm) of the centroid if that a=96.6cm, b=88.3cm, and r=44.4cm. Round off only on the final answer expressed in 3 decimal places.
Determine the internal moments at the supports of the beam shown using: 1.) ThreeMoment equation 2.) Moment Distribution Method 3.) Slope-Deflection Method Pick two method only Given: E=200GPa I=20x10^6 mm^4 w=8kN/m L1=10m L2=8m
A cantilever beam carries a trapezoidaldistributed load (see figure). Let wB = 2.5 kN/m,wA = 5.0 kN/m, and L = 2.5 m. The beam has amodulus E = 45GPa and a rectangular cross sectionwith width b = 200 mm and depth h = 300 mm.Use the method of superposition and Cases 1 and8 in Table H-1 to calculate the def lection and rotationat B.
l=160mm, b=60mm. AB rotating with constant angular velocity 1600 rpm clockwise. determine the velocity of P. θ = 45°
Compute all reactiosn for the beam in FigureP9.15 assuming that the supports do not move; EI is constant. (b) Repeat computations given that support C moves upward a distance of 288/EI when the load is appleid
Find the vertical displacement (Ya) of point A in the system in the figure in mm using the virtual work method. Bending stiffness EI=4000 tm2, only consider bending effects. M=11t.m q=9t/m L1=2.7m L2=6.8m

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