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Civil Engineering

n Method derive an expression for the following: a) Reaction at propped support b) Wall moment c) Mid-span deflection

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

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Using Double Integration Method derive an expression for the following: a) Reaction at propped support b) Wall moment c) Mid-span deflection

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MA ATH VA mmm...... L RB
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that El is constant for the beam. Let W= 14 kN/m, L= 4.5 m, E = 205 GPa, and I = 105 x 106 mm4
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 5 kN/m, L= 4.5 m, E = 185 GPa, and I = 125 x 106 mm4. Answer: (b) Vmax (c) A = i = i W L mm rad B x
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 11 kN/m, L= 3.0 m, E = 185 GPa, and I = 120 x 106 mm4. Answer: (b) Vmax = i mm (с) Өд — і rad
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 12 kN/m, L = 5.0m, E = 220 GPa, and 1= 115 x 10 mm4. Answer: (b) Vmax (c) 8A = MK W L mm rad B
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. 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. b kN/m 'm B. c kN 3m A=3.2 B=15.5 C=28 10 kN/m
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of EI = 38 x 10^6 lb-ft^2 for the beam; w0 = 6800 lb/ft, LAB = 2.5 ft, LBC = 5 ft, LCD = 3 ft.
Using Double Integration Method derive an expression for the following: a) Reaction at propped support b) Wall moment c) Mid-span deflection
Moment-Area Method A simply supported beam is loaded with a concentrated load and a uniformly distributed load as shown in the figure. Assume EI = 60 x 10⁶ lb-in². a) Find the tangential deviation of B sith respect to A in inches. b) Find the deflection of the beam at B in inches. c) Find the tangential deviation of C with respect to A in inches d) Find the deflection of the beam at C in inches
MA TE L/2 P + -L/2 RB