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Final Exam

This document appears to be a final exam for a civil engineering course. It contains 6 problems testing skills in mechanics of materials. Problem 1 asks students to draw shear and moment diagrams for a beam with given loads and cross section, and calculate maximum shear force, stress, bending moment, and bending stress. Problem 2 is similar for a different beam loading. Problem 3 asks how to determine the worst bending moment for a truck moving across a bridge. Problem 4 requires calculating centroid and moments of inertia for a given cross section. Problem 5 involves calculating stresses in a beam. Problem 6 is to design a beam span where bending and shear capacities are reached simultaneously.

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Ilagan Liander John, R.
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56 views2 pages

Final Exam

This document appears to be a final exam for a civil engineering course. It contains 6 problems testing skills in mechanics of materials. Problem 1 asks students to draw shear and moment diagrams for a beam with given loads and cross section, and calculate maximum shear force, stress, bending moment, and bending stress. Problem 2 is similar for a different beam loading. Problem 3 asks how to determine the worst bending moment for a truck moving across a bridge. Problem 4 requires calculating centroid and moments of inertia for a given cross section. Problem 5 involves calculating stresses in a beam. Problem 6 is to design a beam span where bending and shear capacities are reached simultaneously.

Uploaded by

Ilagan Liander John, R.
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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ROMBLON STATE UNIVERSITY

COLLEGE OF ENGINEERING AND TECHNOLOGY


DEPARTMENT OF CIVIL ENGINEERING

FINAL-TERM EXAMINATION
NAME: _________________________ SCORE: ________
COURSE/YEAR/BLK: ______________ DATE: _________

INSTRUCTION: Answer the problems systematically and correctly. Your solution must be a separate sheet of coupon.
Write your answers neatly. Avoid erasures. There will be deduction on late submissions. “Cheating is not tolerated”.
“Use Black Ballpen Only”. BOX your FINAL ANSWER. NO BOX NO POINTS.

PROBLEM NO. 1
Write the shear and moment equations for the beam loaded as shown. Let x be the distance measured from the left
end of the beam. Also draw the shear and moment diagrams, specifying values at all change of loading positions and at points
of zero shear. Include the weight of the beam.

Weight of the beam: 85 kg/m


1. Find the maximum shear force of the beam.
2. Find the maximum shear stress of the beam if D = 350 mm (Circular cross-section).
3. Find the maximum bending moment of the beam.
4. Find the maximum bending stress of the beam if D = 350 mm (Circular cross-section).

PROBLEM NO. 2
Write the shear and moment equations for the beam loaded as shown. Let x be the distance measured from the left
end of the beam. Also draw the shear and moment diagrams, specifying values at all change of loading positions and at points
of zero shear. Include the weight of the beam.

Weight of the beam: 85 kg/m


1. Find the maximum shear force of the beam.
2. Find the maximum shear stress of the beam if b = 200 mm, h = 300 mm (Triangular cross-section).
3. Find the maximum bending moment of the beam.
4. Find the maximum bending stress of the beam if if b = 200 mm, h = 300 mm (Triangular cross-section).

PROBLEM NO. 3
After watching a truck driving across a bridge, Jerome, a new engineering student, wonders if it is possible to
determine the worst bending moment. He knows how to find the bending moment when the load location is given, but not
when it can be at any location. What is known:
 The bridge is assumed to be simply supported.
 Bridge length is 50 m.

Engr. Nikko Reymon R. Manito Mechanics of Deformable Bodies


 Wheel locations are 5 m, 10 m, and 12 m from the front wheel as shown in the diagram.
 Total weight of the truck is 250 kN.
 The weight of the truck is unevenly distributed to the wheels; Front wheels, F 1, carries 15%, second set of wheels,
F2, carries 25%, and the remaining weight is equally carried on the back two wheel sets, F 3 and F4.

a. Find the maximum bending moment that occurs when the truck moves across the bridge.
b. Find the maximum shear force that occurs when the truck moves across the bridge.

PROBLEM NO. 4
From the following figure determine:
a. Centroid of the section from the X and Y axes.
b. Moment of Inertia with respect to the X and Y axes.
c. Moment of Inertia with respect to the centroidal axis.

PROBLEM NO. 5
From the simple beam loaded as shown:
a. Compute the maximum tensile and compressive bending stresses developed in the beam.
b. Compute the maximum shearing stress at the neutral axis and the average shearing stress.

PROBLEM NO. 6
Design the span length of a simple beam for which the bending and shear capacity for a 150 mm x 300 mm is reached
simultaneously when the beam is loaded with a uniform load throughout the span. The allowable stress in bending and shear
are fb = 13.5 MPa and fv = 0.95 MPa. (No figure provided)

Engr. Nikko Reymon R. Manito Mechanics of Deformable Bodies

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