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Problem Set 1

This document contains a mechanics problem set with 12 problems involving stresses in rods, links, trusses, and foundations. The problems calculate average normal stresses given load and geometry information like diameters, cross-sectional areas, and applied forces. They also determine minimum/maximum allowed dimensions and stresses.

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Andrei Alido
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116 views4 pages

Problem Set 1

This document contains a mechanics problem set with 12 problems involving stresses in rods, links, trusses, and foundations. The problems calculate average normal stresses given load and geometry information like diameters, cross-sectional areas, and applied forces. They also determine minimum/maximum allowed dimensions and stresses.

Uploaded by

Andrei Alido
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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ENGR.

2018- BSCE 2-1 1


INSTRUCTOR: ENGR. MELVIN G. SINGAYAN MECHANICS 4

PROBLEM SET NO. 1


1.1 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d1 =
30 mm and d2 = 50 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC.

1.2 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the
average normal stress must not exceed 150 MPa in either rod, determine the smallest allowable values of
the diameters d1 and d2.
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PROBLEM SET NO. 1
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1.7 Each of the four vertical links has an 8 x 36-mm uniform rectangular cross section, and each of the four
pins has a 16-mm diameter. Determine the maximum value of the average normal stress in the links
connecting (a) points B and D, (b) points C and E.

1.11For the Pratt bridge truss and loading shown, determine the average normal stress in member BE, knowing
that the cross-sectional area of that member is 5.87 in2.
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PROBLEM SET NO. 1
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1.12The frame shown consists of four wooden members, ABC, DEF, BE, and CF. Knowing that each member
has a 2 x 4-in. rectangular cross section and that each pin has a 12-in. diameter, determine the maximum
value of the average normal stress (a) in member BE, (b) in member CF.

1.21 A 40-kN axial load is applied to a short wooden post that is supported by a concrete footing resting on
undisturbed soil. Determine (a) the maximum bearing stress on the concrete footing, (b) the size of the
footing for which the average bearing stress in the soil is 145 kPa.
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PROBLEM SET NO. 1
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1.22 An axial load P is supported by a short W8 x 40 column of cross-sectional area A = 11.7 in2 and is
distributed to a concrete foundation by a square plate as shown. Knowing that the average normal stress in
the column must not exceed 30 ksi and that the bearing stress on the concrete foundation must not exceed
3.0 ksi, determine the side a of the plate that will provide the most economical and safe design.

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