question bank 1 ishik university/sulaimani civil eng. dep. assistant lecturer/ asma ab. mustafa 1...

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-


Two forces act on the hook. Determine the magnitude of the resultant

force.

Problem -1-

Ans: 𝐹𝑅 = 666 N

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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


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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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°


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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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°


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


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°


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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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°


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°

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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°


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

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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


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

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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°


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°

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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°


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°

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11


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


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°

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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°


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


Problem -23-

Ans: 𝐹R = 6.77 kN θ =47.2°

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13


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


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°

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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°


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°

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If θ =30° and F1 = 250 Ib, determine the magnitude of the resultant

force acting on the bracket and its direction measured clockwise from


Problem -28-

Ans: 𝐹R = 463 Ib θ =39.6°


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


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°


Reference : 1. Engineering Mechanics-Statics by R.C.-Hibbeler, 12th

Edition.

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