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10/7/2017
1
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 1
Ishik University / Sulaimani
Architecture Department
Structure
ARCH 214
Question Bank Chapter -2-
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 2
Two forces act on the hook. Determine the magnitude of the resultant
force.
Problem -1-
Ans: 𝐹𝑅 = 666 N
10/7/2017
2
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 3
Resolve the 30 lb force into components along the u and v axes and
determine the magnitude of each of these components.
Problem -2-
Ans: 𝐹𝑢 = 22.0 lb 𝐹𝑣 = 15.5 lb
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 4
If force 𝐅 is to have a component along the u axis of Fu=6 kN,
determine the magnitude of 𝐅 and the magnitude of its component Fv
along the v axis.
Problem -3-
Ans: 𝐹 = 3.11 kN 𝐹𝑣 = 4.39 kN
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3
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 5
If θ = 60° and T=5 kN, determine the magnitude of the resultant force
acting on the eyebolt and its direction measured clockwise from the
positive x axis.
Problem -4-
Ans: 𝐹𝑅 = 10.47kN ∅ = 17.5°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 6
If θ = 30° and T=6 kN, determine the magnitude of the resultant force
acting on the eyebolt and its direction measured clockwise from the
positive x axis.
Problem -5-
Ans: 𝐹𝑅 = 8.67kN ∅ = 3.05°
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4
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 7
If the magnitude of the resultant force is to be 9 kN directed along the
positive x axis, determine the magnitude of force T acting on the
eyebolt and its angle Ø.
Problem -6-
Ans: T = 6.57kN ∅ = 30.6°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 8
The plate is subjected to the two forces at A and B as shown. If θ=60°
determine the magnitude of the resultant of these two forces and its
direction measured clockwise from the horizontal.
Problem -7-
Ans: 𝐹𝑅 = 10.8 kN ∅ = 3.16°
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5
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 9
Determine the angle of for connecting member A to the plate so that
the resultant force of FA and FB is directed horizontally to the right.
Also, what is the magnitude of the resultant force?
Problem -8-
Ans: 𝐹𝑅 = 10.4 kN ∅ = 54.9°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 10
If the tension in the table is 400 N, determine the magnitude
and direction of the resultant force acting on the pulley. This
angle is the same angle ∅ of line AB on the tailboard bind.
Problem -9-
Ans: 𝐹𝑅 = 400 kN ∅ = 60°
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6
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 11
Determine the magnitude of the resultant force acting on the bracket
and its direction measured counterclockwise from the positive u axis.
Problem -10-
Ans: 𝐹𝑅 = 217 Ib ∅ = 3.05°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 12
If and the resultant force acts along the positive u axis, determine the
magnitude of the resultant force and the angle .
Problem -11-
Ans: 𝐹𝑅 = 3.92 kN ∅ = 78.6°
10/7/2017
7
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 13
If the resultant force is required to act along the positive u axis and
have a magnitude of 5 kN, determine the required magnitude of FB
and its direction .
Problem -12-
Ans: 𝐹B = 2.83 kN ∅ = 62.0°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 14
Resolve F1 into components along the u and axes and determine the
magnitudes of these components
Problem -13-
Ans: 𝐹1v = 129 N 𝐹1u = 183 N
10/7/2017
8
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 15
Resolve F2 into components along the u and axes and determine the
magnitudes of these components
Problem -14-
Ans: 𝐹2v = 44.6 N 𝐹2u = 150 N
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 16
The truck is to be towed using two ropes. Determine the magnitudes
of forces FA and FB acting on each rope in order to develop a resultant
force of 950 N directed along the positive x axis. Set .
Problem -15-
Ans: 𝐹A = 774 N 𝐹B = 346 N
10/7/2017
9
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 17
The truck is to be towed using two ropes. If the resultant force is to be
950 N, directed along the positive x axis, determine the magnitudes of
forces FA and FB acting on each rope and the angle of FB so that the
magnitude of F B is a minimum. FA acts at 20° from the x axis as shown.
Problem -16-
Ans: 𝐹A = 893 N 𝐹B = 325 N ∅ = 70.0°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 18
If ∅ = 45.0°, F1= 5 kN and the resultant force is 6 kN directed along the
positive y axis, determine the required magnitude of F2 and its
direction θ.
Problem -17-
Ans: 𝐹2 = 4.31 kN ∅ = 55.1°
10/7/2017
10
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 19
If ∅ =30.0°, F1= 5 kN and the resultant force is 6 kN directed along the
positive y axis, determine the required magnitude of F1 and F2 and
the angle θ, if F2 is required to be minimum.
Problem -18-
Ans: 𝐹1 = 5.20 kN 𝐹2 = 3 kN ∅ = 60.0°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 20
If ∅ =30.0°, F2= 6 kN determine the magnitude of the resultant force
acting on the plate and its direction measured clockwise from the
positive x axis.
Problem -19-
Ans: 𝐹R = 8.09 kN 𝐹2 = 3 kN ∅ = 98.5°
10/7/2017
11
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 21
The beam is to be hoisted using two chains. Determine the magnitudes
of forces FA and FB acting on each chain in order to develop a resultant
force of 600 N directed along the positive y axis. Set θ =45.0°.
Problem -20-
Ans: 𝐹A = 439 N 𝐹B = 311 N
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 22
Determine the magnitude of the resultant force acting on the pin
and its direction measured clockwise from the positive x axis.
Problem -21-
Ans: 𝐹R = 67.6 Ib θ =11.3°
10/7/2017
12
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 23
If F1 = 600 N and θ = 30°, determine the magnitude of the resultant
force acting on the eyebolt and its direction measured clockwise from
the positive x axis.
Problem -22-
Ans: 𝐹R = 702 N θ =44.6°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 24
If θ = 30°, and F2 = 3 kN, determine the magnitude of the resultant
force acting on the plate and its direction θ measured clockwise from
the positive x axis.
Problem -23-
Ans: 𝐹R = 6.77 kN θ =47.2°
10/7/2017
13
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 25
If θ = 30°, and the resultant force acting on the gusset plate is directed
along the positive x axis, determine the magnitudes of F2 and the
resultant force.
Problem -24-
Ans: 𝐹R = 13.2 kN F2 = 12.9 kN
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 26
Determine the magnitude and direction measured counterclockwise
from the positive x axis of the resultant force of the three forces
acting on the ring A. Take F1 = 500 N and θ =20°
Problem -25-
Ans: 𝐹R = 1.03 kN θ =87.9°
10/7/2017
14
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 27
Determine the magnitude and direction θ of FB so that the resultant
force is directed along the positive y axis and has a magnitude of 1500 N.
Problem -26-
Ans: 𝐹R = 960N θ =68.6°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 28
Determine the magnitude and angle measured counterclockwise
from the positive y axis of the resultant force acting on the bracket if
FB = 600 N and θ =20°.
Problem -27-
Ans: 𝐹R = 839 N θ =14.8°
10/7/2017
15
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 29
If θ =30° and F1 = 250 Ib, determine the magnitude of the resultant
force acting on the bracket and its direction measured clockwise from
the positive x axis.
Problem -28-
Ans: 𝐹R = 463 Ib θ =39.6°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 30
Determine the magnitude of FA and its direction θ so that the
resultant force is directed along the positive x axis and has a
magnitude of 1250 N.
Problem -29-
Ans: 𝐹A = 686 N θ =54.3°
10/7/2017
16
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 31
Determine the magnitude of the resultant force and its direction
measured counterclockwise from the positive x axis.
Problem -30-
Ans: 𝐹R = 111 Ib θ =202°
Ishik University/Sulaimani Civil Eng. Dep. Assistant Lecturer/ Asma Ab. Mustafa 32
Reference : 1. Engineering Mechanics-Statics by R.C.-Hibbeler, 12th
Edition.