Answered: q = PIL D. C A. p.

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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Question

An overhanging beam ABC has a guided
support at A, a rectangular cross section, and supports
an upward uniform load q =P/L over AB and
a downward concentrated load P at the free end C
(see figure). The span length from A to B is L, and the
length of the overhang is L/2. The cross section has a
width of b and a height h. Point D is located midway
between the supports at a distance d from the top
face of the beam.
Knowing that the maximum tensile stress (principal
stress) at point D is σ₁ = 38 MPa, determine the magnitude
of the load P. Data for the beam are L=1.75 m,
b = 50 mm, h = 220 mm, and d = 55 mm.

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