homework #7 - kunetammar.kunet.com/notes/arc341/homework-7.pdf · the beam shown is made of a nylon...
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Kuwait UniversityCollege of ArchitectureARC341 - Structural Analysis II
Homework #7
Name:
ID:
Date:
Dr. Ammar T. Al-SayeghCivil Engineering DepartmentCollege of Engineering & PetroleumKuwait University
Page 1 Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
ID:Name: Problem:
Knowing that a beam of the cross section shown is bent about a horizontal axis and that the bending moment is 900 N.m, determine the total force acting on the shaded portion of the beam.
MM4.11
Page 2
ID:Name:
Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
Problem:
Page 3 Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
ID:Name: Problem:
The beam shown is made of a nylon for which the allowable stress is 24 MPa in tension and 30 MPa in compression. Determine the largest couple M that can be applied to the beam.
MM4.17
Page 4
ID:Name:
Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
Problem:
Page 5 Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
ID:Name: Problem:
A steel bar (Es = 210 GPa) and aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown. When the bar is bend about the horizontal axis with a moment M = 200 N.m, determine:
a) aluminum(max)
b) steel(max)
c) ρ
MM4.40
Page 6
ID:Name:
Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
Problem: ST9.58
Page 7 Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
ID:Name: Problem:
A concrete beam is reinforced by three steel rods places as shows, where modulus of elasticity is 20 GPa for concrete and 200 GPa for steel. Using an allowable stress of 9.45 MPa for concrete and 140 MPa for the steel, determine the largest allowable positive bending moment in the beam.
MM4.47
Page 8
ID:Name:
Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
Problem:
Page 9 Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
ID:Name: Problem:
Knowing that the bending moment in the reinforced concrete beam is 200 kN and the modulus of elasticity is 25 GPa for concrete and 200 GPa for steel, determine:
a) Sress in the steel.
b) Maximum stress in the concrete.
MM4.51
Page 10
ID:Name:
Dr. Ammar T. Al-Sayegh ARC341 - Structural Analysis II
Problem: