2. The inclined ladder AB supports a house painter (82 kg) at C and the self-weight (q =36 N/m) of the ladder itself. Each ladder rail (t, = 4 mm) is supported by a shoe (t, = 5 mm) which is attached to the ladder rail by a bolt of diameter dp = 8 mm 1. Find support reactions at A and B (in N). 2. Find maximum average shear stress (MPa) in the shoe bolt at A. 3. Find maximum bearing stress (MPa) in the shoe bolt at A. ANSWERS: RA 1102 N and RB = 225 N; 5.48 MPa; 6.89 MPa Typical rung = -Ladder rail (1,4 mm) Shoe bolt (dp = 8 mm) Shoe bolt at A q=36 N/m B a=1.8 m b=0.7 m Ladder shoe (1,5 mm) = Assume no slip at A Bx H=7m
2. The inclined ladder AB supports a house painter (82 kg) at C and the self-weight (q =36 N/m) of the ladder itself. Each ladder rail (t, = 4 mm) is supported by a shoe (t, = 5 mm) which is attached to the ladder rail by a bolt of diameter dp = 8 mm 1. Find support reactions at A and B (in N). 2. Find maximum average shear stress (MPa) in the shoe bolt at A. 3. Find maximum bearing stress (MPa) in the shoe bolt at A. ANSWERS: RA 1102 N and RB = 225 N; 5.48 MPa; 6.89 MPa Typical rung = -Ladder rail (1,4 mm) Shoe bolt (dp = 8 mm) Shoe bolt at A q=36 N/m B a=1.8 m b=0.7 m Ladder shoe (1,5 mm) = Assume no slip at A Bx H=7m
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.5.22P: A non prism elk- bar ABC made up of segments AB(length £,, cross-sectional area .Inland BC (length...
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Transcribed Image Text:2. The inclined ladder AB supports a house painter (82 kg) at
C and the self-weight (q =36 N/m) of the ladder itself. Each ladder rail (t,
= 4 mm) is supported by a shoe (t, = 5 mm) which is attached to the ladder
rail by a bolt of diameter dp = 8 mm
1. Find support reactions at A and B (in N).
2. Find maximum average shear stress (MPa) in the shoe bolt at A.
3. Find maximum bearing stress (MPa) in the shoe bolt at A.
ANSWERS: RA 1102 N and RB = 225 N; 5.48 MPa; 6.89 MPa
Typical rung
=
-Ladder rail (1,4 mm)
Shoe bolt (dp = 8 mm)
Shoe bolt at A
q=36 N/m
B
a=1.8 m
b=0.7 m
Ladder shoe (1,5 mm)
=
Assume no slip at A
Bx
H=7m
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