CIVIL ENGINEERING STATICS - CIVL1004
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MATS-1016 ASSIGNMENT #1 Due in FOL DropBox
Fe
uary 4, 2021 @ 12pm
Name: ___________________________________ Your Mark: /30
Show all your work on grid paper (provided on FOL) and write your final answers with appropriate decimal
places, co
ect sign/units …etc. in the spaces below. Scan all your pages (including these cover pages) to
a single pdf file and submit to FOL …marks maybe deducted for neatness and/or not following instructions.
1. Calculate the internal reactions in sections M-M
and N-N for the member shown. (6 marks)
FMM = ________________ FNN = _________________
VMM = ________________ VNN = _________________
MMM = ________________ MNN = ________________
2. A 1/8 inch steel wire is 450 feet long and weighs 0.042 l
ft. If the wire is suspended vertically
from its upper end, calculate the maximum tensile stress due to its weight. Also, find maximum
weight W which it can safely support at its lower end if the maximum stress in the wire is not to
exceed 24,000 psi. (4 marks)
σ = __________________
W = __________________
3. The knuckle joint shown ca
ies a load P = 62 kN and is assembled
using a pin with an ultimate shear strength of 42.5 MPa. Find the
minimum pin diameter if it must have a factor of safety of XXXXXXXXXXmarks)
d = __________________
4. A steel rod 20 mm in diameter is subjected to an axial pull of 20 kN. Given E = 200 GPa and
G = 79.3 GPa, determine the axial and transverse strains in the rod. (5 marks)
ε = __________________
εt = __________________
MATS-1016 ASSIGNMENT #1 Winter 2021
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5. An aluminum plate with E = 70 GPa and G = 26.3 GPa
is subjected to a compressive axial force of 22 kN as shown.
The plate has a length L = 100 mm, width B = 20 mm and
thickness T = 5 mm. Determine the deformation δ in the
Length L, in the width B and in the thickness T. (6 marks)
δL = __________________
δB = __________________
δT = __________________
6. A 900 mm high concrete pier has a 250 by 250 mm cross-section and is reinforced by five 25 mm
diameter steel reinforcing bars. If the pier has an axial compressive load of 900 kN applied
through rigid end plates, calculate the axial stresses in the concrete and the steel as well as the
total deformation of the pier. Es = 200 GPa and Ec = 21 GPa. (6 marks)
σc = __________________
σs = __________________
δT = __________________