Question (1): A steel strut S serving as a brace for a boat hoist transmits a compressive force P= 12 k to the deck of a pier (Fig. 1a). The strut has a hollow square cross section with wall thickness t = 0.375 in. (Fig. 1b), and the angle between the strut and the horizontal is 40°. A pin through the strut transmits the compressive force from the strut to two gussets G that are welded to the base plate B. Four anchor bolts fasten the base plate to the deck. The diameter of the pin is = 0.625 in., the thickness of the base plate is dpin = 0.75 in., the thickness of the gussets is to = 0.50 in. Determine the following = 0.375 in., and the diameter of the anchor bolts is dbolt stresses: (a) the bearing stress between the strut and the pin, (b) the shear stress in the pin, (c) the bearing stress between the pin and the gussets, (d) the bearing stress between the anchor bolts and the base plate, and (e) the shear stress in the anchor bolts. (Disregard any friction between the base plate and the deck.)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.3P: The upper deck ala foothill stadium is supported by braces, each of which transfer a load P = 160...
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Question (1):
fi
A steel strut S serving as a brace for a boat hoist transmits a compressive force P = 12 k to the
deck of a pier (Fig. 1a). The strut has a hollow square cross section with wall thickness t =
0.375 in. (Fig. 1b), and the angle between the strut and the horizontal is 40°. A pin through
the strut transmits the compressive force from the strut to two gussets G that are welded to the
base plate B. Four anchor bolts fasten the base plate to the deck. The diameter of the pin is
dpin = 0.75 in., the thickness of the gussets is to = 0.625 in., the thickness of the base plate is
= 0.50 in. Determine the following
= 0.375 in., and the diameter of the anchor bolts is dbolt
stresses: (a) the bearing stress between the strut and the pin, (b) the shear stress in the pin, (c) the
bearing stress between the pin and the gussets, (d) the bearing stress between the anchor bolts
and the base plate, and (e) the shear stress in the anchor bolts. (Disregard any friction between
the base plate and the deck.)
t - سمك
Fig.1
B
98
(a)
0=40°
Pin
(b)
Transcribed Image Text:Question (1): fi A steel strut S serving as a brace for a boat hoist transmits a compressive force P = 12 k to the deck of a pier (Fig. 1a). The strut has a hollow square cross section with wall thickness t = 0.375 in. (Fig. 1b), and the angle between the strut and the horizontal is 40°. A pin through the strut transmits the compressive force from the strut to two gussets G that are welded to the base plate B. Four anchor bolts fasten the base plate to the deck. The diameter of the pin is dpin = 0.75 in., the thickness of the gussets is to = 0.625 in., the thickness of the base plate is = 0.50 in. Determine the following = 0.375 in., and the diameter of the anchor bolts is dbolt stresses: (a) the bearing stress between the strut and the pin, (b) the shear stress in the pin, (c) the bearing stress between the pin and the gussets, (d) the bearing stress between the anchor bolts and the base plate, and (e) the shear stress in the anchor bolts. (Disregard any friction between the base plate and the deck.) t - سمك Fig.1 B 98 (a) 0=40° Pin (b)
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