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 El = 32 x 10^6 Ib-ft^2 for the beam; wo = 6700 Ib/ft, LAB = 7.0 ft, LBC = 15 ft, LCD = 8 ft.

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 El = 32 x 10^6 Ib-ft^2 for the beam; wo = 6700 Ib/ft, LAB = 7.0 ft, LBC = 15 ft, LCD = 8 ft.

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.

Question

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 El = 32 x 106 lb-ft² for the beam; wo = 6700 lb/ft,
LAB = 7.0 ft, LBC = 15 ft, LcD = 8 ft.
WO
X
A
LBC
LCD
Answer:
(a) 0B =
(b) vc =
LAB
B
rad
in.
D

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