Consider the compound beam with segmentsAB and BCD joined by a pin connection(moment release) just right of B (see figure part a).The beam cross section is a double-T made up fromthree 50 mm 3150 mm wood members (actualdimensions, see figure part b).(a) Find the centroid C of the double-T crosssection (c1,c2 ); then compute the moment ofinertia, [I z (mm4 )].(b) Find the maximum tensile normal stress st andmaximum compressive normal stress σc (kPa) forthe loading shown. (Ignore the weight of the beam.) М, - 600 N-m9, = 920 N/mP= 1730 N4 = 460 N/m]c 1.5 m 1.5 m D3 mB3 m3 mPinconnection(a)Each piece isa 50 mm x150 mmwood plank(actualC2dimensions)(b)

Answered: М, - 600 N-m 9, = 920 N/m P= 1730 N 4 =…

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

Consider the compound beam with segments
AB and BCD joined by a pin connection
(moment release) just right of B (see figure part a).
The beam cross section is a double-T made up from
three 50 mm 3150 mm wood members (actual
dimensions, see figure part b).
(a) Find the centroid C of the double-T cross
section (c₁,c₂ ); then compute the moment of
inertia, [I _z (mm⁴ )].
(b) Find the maximum tensile normal stress st and
maximum compressive normal stress σ_c (kPa) for
the loading shown. (Ignore the weight of the beam.)

М, - 600 N-m
9, = 920 N/m
P= 1730 N
4 = 460 N/m
]c 1.5 m 1.5 m D
3 m
B
3 m
3 m
Pin
connection
(a)
Each piece is
a 50 mm x
150 mm
wood plank
(actual
C2
dimensions)
(b)

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