Republic of the Philippines
CAMARINES NORTE STATE COLLEGE
F. Pimentel Avenue, Brgy. 2, Daet, Camarines Norte – 4600, Philippines
COLLEGE OF ENGINEERING
MECH 3 – MECHANICS OF DEFORMABLE BODIES
Subject Instructor: Engr. Alyssa N. Nataño
ASSIGNMENT # 1
NAME:
Problem 1: Steel, timber, and concrete are used as a
column as shown in the figure. Each of the material have a
corresponding working normal stress. The cross-sectional
areas and working stresses σw are shown in the figure.
1. Based on the working stress for steel, find the value
of P in kN.
2. Based on the working stress for timber, find the
value of P in kN.
3. Based on the working stress for concrete, find the
value of P in kN.
Problem 2:
For the truss shown in Fig. P-111, calculate the stresses in
members CE, DE, and DF. The cross sectional area of each
member is 0.475 in2. Indicate tension (T) or compression (C).
MECH 3 – MECHANICS OF DEFORMABLE BODIES
Period: Midyear AY 2024-2025
Course and Year: BSCE 2
Problem 3: The average shear stress in each of the 8-mm
diameter bolts and along each of the four shaded shear
planes is not allowed to exceed 80 MPa and 500 kPa,
respectively. Determine the maximum axial force P that can
be applied to the joint.
Problem 4: A cylindrical pressure vessel is fabricated from
steel plating that has a thickness of 20 mm. The diameter of
the pressure vessel is 450 mm and its length is 2.0 m.
Determine the maximum internal pressure that can be
applied if the longitudinal stress is limited to 140 MPa, and
the circumferential stress is limited to 60 MPa.
Problem 5: Three forces, each of magnitude P = 4 kN, are
applied to the mechanism shown. Determine the crosssectional area of the uniform portion of rod BE for which the
normal stress in that portion is +100 MPa.
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