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StreMa Module 1

The document contains a series of problems related to the strength of materials, focusing on axial stress, strain, and deformation in various structural scenarios. It includes calculations for tensions in wires, stresses in materials, and deflections under loads. The problems involve different materials such as steel and concrete, and require knowledge of their respective moduli of elasticity.

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john mark pampo
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78 views2 pages

StreMa Module 1

The document contains a series of problems related to the strength of materials, focusing on axial stress, strain, and deformation in various structural scenarios. It includes calculations for tensions in wires, stresses in materials, and deflections under loads. The problems involve different materials such as steel and concrete, and require knowledge of their respective moduli of elasticity.

Uploaded by

john mark pampo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Strength of Materials 1

Problem 3. PROBLEM SET:


STRENGTH OF MATERIALS A rigid bar ABC is supported by three identical Problem 5.
Axial Stress and Strain wires A, B and C (see figure). The bar ABC is
A steel cylinder with 300 mm outside diameter
horizontal before the load P is applied. Assume the
Axial Stress, and wall thickness of 20 mm is filled with concrete
bar and the wires are weightless.
or and used as a pier to support an axial load in
1. Determine the tension in wire B. compression. If the allowable stresses are 140 MPa
Axial Strain, Deformation, for steel and 12 MPa for concrete and if the modulus
2. Calculate the tension in wire C.
of elasticity for steel is 200 GPa and for concrete is
Modulus of Elasticity, 3. Find the tension in wire A. 19.2 GPa, what is the allowable load for the pier?

P
Problem 1. CE Board: November 1994 2a a a
Problem 6.
A B C
Find the shortening of a column of length L
with concrete area AC and steel area AS when A heavy ring moulding of diameter 2 m. is
subjected to axial load P. The modulus of elasticity supported by six steel wires of equal lengths and
of concrete and steel is EC and ES, respectively. pattached at points spaced uniformly along the
Problem 4. CE Board May 1992 circumference of the moulding. The moulding
weighs 2.5 kN/m per meter of its circumference.
A load P is supported by three (3) wires as
Problem 2 shown. All members are identical except in length.
The concrete post as shown in the figure is 1. Determine the force in wire AD.
reinforced axially with four symmetrically placed
steel bars, each of cross-sectional area 900 mm2. 2. Find the force in wire BD. 3m
Compute the stress in each material when the 1000- 3. Calculate the vertical deflection of point D.
kN axial load is applied. The moduli of elasticity are
200 GPa for steel and 14 GPa for concrete. 2m
3 L 3 L
A B C 1. Find the tension in each steel wire.

L
2. What is the diameter of the wire that will not
exceed the allowable stress of 124 MPa.
D

P 3. If the wires are 6 mm in diameter, find the


vertical displacement of the moulding.
Strength of Materials 1
Problem. 7 Problem 8
The lower ends of the three bars shown are at the Figure shows a rigid bar that is supported by a
same level before the rigid homogenous 18 Mg pin at A and two rods, one made of steel and the
block is attached. Each steel bar has an area of 600 other of bronze. Neglecting the weight of the bar;
mm2 and E = 200 GPa. For the bronze rod, the area
1. Find the stress in the bronze rod.
is 900 mm2 and E = 83 GPa.

2. Calculate the axial stress in the steel rod.

bronze
0.6 m

steel steel
1.0 m
5m 5m
A B C

W
1. Find the stress in the bronze rod.

2. Calculate the axial stress in the steel rod.

3. Determine the elongation of each rod.

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