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engineering
civil engineering

Questions and Answers of Civil Engineering

Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O, and has magnitude FR. Also, what is the
The cord exerts a force F on the hook. If the cord is length L, determine the location x, y of the point of attachment B, and the height z of the hook.Given:F = (12 9 -8) lbL = 8 fta = 2 ft
The cord exerts a force of magnitude F on the hook. If the cord length L, the distance z, and the x component of the force, Fx, are given, determine the location x, y of the point of attachment B of
Each of the four forces acting at E has magnitude F. Express each force as a Cartesian vector and determine the resultant force. Units used:kN = 103 NGiven:F = 28kNa = 4 mb = 6 mc = 12 m
The tower is held in place by three cables. If the force of each cable acting on the tower is shown, determine the magnitude and coordinate direction angles α, β, γ of the resultant
The chandelier is supported by three chains which are concurrent at point O. If the force in each chain has magnitude F, express each force as a Cartesian vector and determine the magnitude and
The chandelier is supported by three chains which are concurrent at point O. If the resultant force at O has magnitude FR and is directed along the negative z axis, determine the force in each chain
Given the three vectors A, B, and D, show that A ∙ (B+D) = (A ∙ B) + (A ∙ D).
Cable BC exerts force F on the top of the flagpole. Determine the projection of this force along the z axis of the pole.Given:F = 28 Na = 12 mb = 6 mc = 4 m
Determine the angle θ between the tails of the two vectors.Given:r1 = 9 mr2 = 6 mα = 60 degβ = 45 degγ = 120 degφ = 30 degε = 40 deg
Determine the magnitude of the projected component of r1 along r2, and the projection of r2 along r1.Given:r1 = 9 mr2 = 6 mα = 60 degβ = 45 degγ = 120 degφ = 30 degε = 40
Determine the angles θ and φ between the wire segments.Given:a = 0.6b = 0.8c = 0.5d = 0.2
Determine the angle θ between the two cords.Given:a = 3 mb = 2 mc = 6 md = 3 me = 4 m
Determine the angle θ between the two cables.Given:a = 8 ftb = 10 ftc = 8 ftd = 10 fte = 4 ftf = 6 ftFAB = 12 lb
Determine the projected component of the force F acting in the direction of cable AC. Express the result as a Cartesian vector.Given:F = 12 lba = 8 ftb = 10 ftc = 8 ftd = 10 fte = 4 ftf = 6 ft
Determine the components of F that act along rod AC and perpendicular to it. Point B is located at the midpoint of the rod.Given:F = 600 N c = 4 ma = 4 m d = 3 mb = 6 m e = 4 m
Determine the components of F that act along rod AC and perpendicular to it. Point B is located a distance f along the rod from end C.Given:F = 600 N c = 4 ma = 4 m d = 3 mb = 6 m e = 4 mf = 3 m
Determine the magnitude of the projected component of the length of cord OA along the Oa axis.Given:a = 10 ftb = 5 ftc = 15 ftd = 5 ftθ1 = 45 degθ2 = 60 deg
Force F acts at the end of the pipe. Determine the magnitudes of the components F1 and F2 which are directed along the pipe's axis and perpendicular to it.Given:
Determine the projected component of the force F acting along the axis AB of the pipe.Given:F = 80 Na = 4 mb = 3 mc = 12 md = 2 me = 6 m
Determine the angles θ and φ between the axis OA of the pole and each cable, AB and AC.Given:F1 = 50 NF2 = 35 Na = 1 mb = 3 mc = 2 md = 5 me = 4 mf = 6 mg = 4 m
The two cables exert the forces shown on the pole. Determine the magnitude of the projected component of each force acting along the axis OA of the pole.Given:F1 = 50 NF2 = 35 Na = 1 mb = 3 mc = 2 md
Force F is applied to the handle of the wrench. Determine the angle θ between the tail of the force and the handle AB.Given:a = 300 mmb = 500 mmF = 80 Nθ1 = 30 degθ2 = 45 deg
Two cables exert forces on the pipe. Determine the magnitude of the projected component of F1 along the line of action of F2.Given:F1 = 30 lbβ = 30 degF2 = 25 lbγ = 60 degα = 30
Determine the angle θ between the two cables attached to the pipe.Given:F1 = 30 lbβ = 30 degF2 = 25 lbγ = 60 degα = 30 degε = 60 deg
Determine the angle θ between the two cables.Given:a = 7.5 ftb = 2 ftc = 3 ftd = 2 fte = 3 ftf = 3 ftF1 = 60 lbF2 = 30 lb
Determine the projection of the force F1 along cable AB. Determine the projection of the force F2 along cable AC.Given:a = 7.5 ftb = 2 ftc = 3 ftd = 2 fte = 3 ftf = 3 ftF1 = 60 lbF2 = 30 lb
Determine the angle θ between the edges of the sheet-metal bracket.Given:a = 50 mmb = 300 mmc = 250 mmd = 400 mm
Determine the magnitude of the projected component of the force F acting along the axis BC of the pipe.Given:F = 100 lba = 2 ftb = 8 ftc = 6 ftd = 4 fte = 2 ft
Determine the angle θ between pipe segments BA and BC.Given:F = 100 lba = 3 ftb = 8 ftc = 6 ftd = 4 fte = 2 ft
Determine the angles θ and φ made between the axes OA of the flag pole and AB and AC, respectively, of each cable.Given:FB = 55 Nc = 2 mFc = 40 Nd = 4 ma = 6 me = 4 mb = 1.5 mf = 3 m
Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces acts along the positive y axis and has magnitude FR.Given:FR = 600 lbF1 = 180 lbF2 = 300 lbφ =
Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces is zero.Given:F1 = 180 lbF2 = 300 lbφ = 40 degθ = 30 deg
Resolve the force F into two components, one acting parallel and the other acting perpendicular to the u axis.Given:F = 600 lbθ1 = 60 degθ2 = 20 deg
The force F has a magnitude F and acts at the midpoint C of the thin rod. Express the force as a Cartesian vector.Given:F = 80 lba = 2 ftb = 3 ftc = 6 ft
Determine the magnitude and direction of the resultant FR = F1 + F2 + F3 of the three forces by first finding the resultant F' = F1 + F3 and then forming FR = F' + F2. Specify its direction measured
The leg is held in position by the quadriceps AB, which is attached to the pelvis at A. If the force exerted on this muscle by the pelvis is F, in the direction shown, determine the stabilizing g
Determine the magnitudes of the projected components of the force F in the direction of the cables AB and AC.Given:F = (60 12 -40) Na = 3 mb = 1.5 mc = 1 md = 0.75 me = 1 m
Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces is zero.Given:F1 = 180 lbφ = 40 degF2 = 300 lbθ = 30 deg
Determine the angles θ and φ so that the resultant force is directed along the positive x axis and has magnitude FR.Given:F1 = 30 lbF2 = 30 lbFR = 20 l
Determine the magnitude of the resultant force and its direction measured counterclockwise from the x axis.Given:F1 = 300 lbF2 = 200 lbθ1 = 40 degθ2 = 100 deg
Determine the magnitudes of F1 and F2 so that the particle is in equilibrium.Given:F = 500 Nθ1 = 45 degθ2 = 30deg
Determine the magnitude and direction θ of F so that the particle is in equilibrium.Units Used: kN = 103 NGiven:F1 = 7kNF2 = 3kNc = 4d = 3
Determine the magnitude of F and the orientation θ of the force F3 so that the particle is in equilibrium.Given:F1 = 700 NF2 = 450 NF3 = 750 Nθ1 = 15 degθ2 = 30 deg
Determine the magnitude and angle θ of F so that the particle is in equilibrium. Units Used: kN = 103 NGiven:F1 = 4.5kNF2 = 7.5kNF3 = 2.25kNα = 60 degφ = 30 deg
The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium. Units Used:kN = 103 NGiven:F1 = 8kNF2 =
The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation θ for equilibrium. The forces are concurrent at point O. Units Used: kN =
Determine the maximum weight of the engine that can be supported without exceeding a tension of T1 in chain AB and T2 in chain AC.Given:θ = 30 degT1 = 450 lbT2 = 480 lb
The engine of mass M is suspended from a vertical chain at A. A second chain is wrapped around the engine and held in position by the spreader bar BC. Determine the compressive force acting along the
Cords AB and AC can each sustain a maximum tension T. If the drum has weight W, determine the smallest angle θ at which they can be attached to the drum.Given:T = 800 lbW = 900 lb
The crate of weight W is hoisted using the ropes AB and AC. Each rope can withstand a maximum tension T before it breaks. If AB always remains horizontal, determine the smallest angle θ to
Two electrically charged pith balls, each having mass M, are suspended from light threads of equal length. Determine the resultant horizontal force of repulsion, F, acting on each ball if the
The towing pendant AB is subjected to the force F which is developed from a tugboat. Determine the force that is in each of the bridles, BC and BD, if the ship is moving forward with constant
Determine the stretch in each spring for equilibrium of the block of mass M. The springs are shown in the equilibrium position.Given:M = 2 kga = 3 mb = 3 mc = 4 mkAB = 30 N/mkAC = 20 N/mkAD = 40 n/mg
The unstretched length of spring AB is δ. If the block is held in the equilibrium position shown, determine the mass of the block at D.Given:δ = 2 ma = 3 mb = 3 mc = 4 mkAB = 30 N/mkAC =
The springs AB and BC have stiffness k and unstretched lengths l/2. Determine the horizontal force F applied to the cord which is attached to the small pulley B so that the displacement of the pulley
The springs AB and BC have stiffness k and an unstretched length of l. Determine the displacement d of the cord from the wall when a force F is applied to the cord.Given:l = 6 mk = 500 N/mF = 175 N
Determine the force in each cable and the force F needed to hold the lamp of mass M in the position shown. Hint: First analyze the equilibrium at B; then, using the result for the force in BC,
The motor at B winds up the cord attached to the crate of weight W with a constant speed. Determine the force in cord CD supporting the pulley and the angle θ for equilibrium. Neglect the size
The cords BCA and CD can each support a maximum load T. Determine the maximum weight of the crate that can be hoisted at constant velocity, and the angle θ for equilibrium.Given:T = 100 lbc =
The sack has weight W and is supported by the six cords tied together as shown. Determine the tension in each cord and the angle θ for equilibrium. Cord BC is horizontal.Given:W = 15 lbθ1
Each cord can sustain a maximum tension T. Determine the largest weight of the sack that can be supported. Also, determine θ of cord DC for equilibrium.Given:T = 200 lbθ1 = 30 degθ2
The block has weight W and is being hoisted at uniform velocity. Determine the angle θ for equilibrium and the required force in each cord.Given:W = 20 lbφ = 30 deg
Determine the maximum weight W of the block that can be suspended in the position shown if each cord can support a maximum tension T. Also, what is the angle θ for equilibrium?Given:T = 80
Two spheres A and B have an equal mass M and are electro statically charged such that the repulsive force acting between them has magnitude F and is directed along line AB. Determine the angle
Blocks D and F weigh W1 each and block E weighs W2. Determine the sag s for equilibrium. Neglect the size of the pulleys.Given:W1 = 5 lbW2 = 8 lba = 4 ft
If blocks D and F each have weight W1, determine the weight of block E if the sag is s. Neglect the size of the pulleys.Given:W1 = 5 lbs = 3 fta = 4 ft
The block of mass M is supported by two springs having the stiffness shown. Determine the unstretched length of each spring.Units Used:kN = 103 NGiven:M = 30 kgl1 = 0.6 ml2 = 0.4 ml3 = 0.5 mkAC = 15
Three blocks are supported using the cords and two pulleys. If they have weights of WA = WC = W, WB = kW, determine the angle θ for equilibrium.Given:k = 0.25
A continuous cable of total length l is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched a distance b, determine the mass M of each block. Neglect the weight of the
Prove Lami's theorem, which states that if three concurrent forces are in equilibrium, each is proportional to the sine of the angle of the other two; that is, P/sin α = Q/sin β = R/sin
A vertical force P is applied to the ends of cord AB of length a and spring AC.If the spring has an unstretched length δ, determine the angle θ for equilibrium.Given:P = 10 lbδ = 2
Determine the unstretched length δ of spring AC if a force P causes the angle θ for equilibrium. Cord AB has length a.Given:P = 80 lbθ = 60 degk = 50 lb/fta = 2 ftb = 2 ft
The flowerpot of mass M is suspended from three wires and supported by the hooks at B and C. Determine the tension in AB and AC for equilibrium.Given:M = 20 kgl1 = 3.5 ml2 = 2 ml3 = 4 ml4 = 0.5 mg =
A car is to be towed using the rope arrangement shown. The towing force required is P. Determine the minimum length l of rope AB so that the tension in either rope AB or AC does not exceed T. Hint:
Determine the mass of each of the two cylinders if they cause a sag of distance d when suspended from the rings at A and B. Note that s = 0 when the cylinders are removed.Given:d = 0.5 ml1 = 1.5 ml2
The sling BAC is used to lift the load W with constant velocity. Determine the force in the sling and plot its value T (ordinate) as a function of its orientation θ, where 0 ≤ θ ≤
The lamp fixture has weight W and is suspended from two springs, each having unstretched length L and stiffness k. Determine the angle θ for equilibrium.Units Used:kN = 103 NGiven:W = 10 lbL =
The uniform tank of weight W is suspended by means of a cable, of length l, which is attached to the sides of the tank and passes over the small pulley located at O. If the cable can be attached at
A sphere of mass ms rests on the smooth parabolic surface. Determine the normal force it exerts on the surface and the mass mB of block B needed to hold it in the equilibrium position shown.Given:ms
The pipe of mass M is supported at A by a system of five cords. Determine the force in each cord for equilibrium.Given:M = 30 kg c = 3g = 9.81 m/s2 d = 4θ = 60 deg
The joint of a space frame is subjected to four forces. Strut OA lies in the x-y plane and strut OB lies in the y-z plane. Determine the forces acting in each of the three struts required for
Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle.Units Used:kN = 103 NGiven:F4 = 800 Nα = 60 degβ = 30 degγ = 30 degc = 3d = 4
Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle.Units Used:kN = 1000 NGiven:F4 = 8.5kNF5 = 2.8kNα = 15 degβ = 30 degc = 7d = 24
Determine the magnitudes of F1, F2 and F3 for equilibrium of the particle F = {- 9i - 8j - 5k}.Units Used:kN = 103 NGiven:F = (-9 -8 -5) kNa = 4 mb = 2 mc = 4 mθ1 = 30 degθ2 = 60
The three cables are used to support the lamp of weight W. Determine the force developed in each cable for equilibrium.Units Used:kN = 103 NGiven:W = 800 N b = 4 ma = 4 m c = 2 m
Determine the force in each cable needed to support the load W.Given:a = 8 ftb = 6 ftc = 2 ftd = 2 fte = 6 ftW = 500 lb
Determine the stretch in each of the two springs required to hold the crate of mass mc in the equilibrium position shown. Each spring has an unstretched length δ and a stiffness k.Given:mc = 20
If the bucket and its contents have total weight W, determine the force in the supporting cablesDA, DB, and DCGiven:W = 20 lba = 3 ftb = 4.5 ftc = 2.5 ftd = 3 fte = 1.5 ftf = 1.5 ft
The crate which of weight F is to be hoisted with constant velocity from the hold of a ship using the cable arrangement shown. Determine the tension in each of the three cables for equilibrium. Units
The lamp has mass ml and is supported by pole AO and cables AB and AC. If the force in the pole acts along its axis, determine the forces in AO, AB, and AC for equilibrium.Given:ml = 15 kg d = 1.5
Cables AB and AC can sustain a maximum tension Tmax, and the pole can support a maximum compression Pmax. Determine the maximum weight of the lamp that can be supported in the position shown. The
Determine the tension in cables AB, AC, and AD, required to hold the crate of weight W in equilibrium.Given:W = 60 lba = 6 ftb = 12 ftc = 8 ftd = 9 fte = 4 ftf = 6 ft
The bucket has weight W. Determine the tension developed in each cord for equilibrium.Given:W = 20 lba = 2 ftb = 2 ftc = 8 ftd = 7 fte = 3 ftf = a
The mast OA is supported by three cables. If cable AB is subjected to tension T, determine the tension in cables AC and AD and the vertical force F which the mast exerts along its axis on the collar
The ends of the three cables are attached to a ring at A and to the edge of the uniform plate of mass M. Determine the tension in each of the cables for equilibrium.Given:M = 150 kg e = 4 ma = 2 m
The ends of the three cables are attached to a ring at A and to the edge of the uniform plate. Determine the largest mass the plate can have if each cable can support a maximum tension of T.kN = 103
The crate of weight W is suspended from the cable system shown. Determine the force in each segment of the cable, i.e., AB, AC, CD, CE, and CF. Hint: First analyze the equilibrium of point A, then
The chandelier of weight W is supported by three wires as shown. Determine the force in each wire for equilibrium.Given:W = 80 lbr = 1 fth = 2.4 ft
If each wire can sustain a maximum tension Tmax before it fails, determine the greatest weight of the chandelier the wires will support in the position shown.Given:Tmax = 120 lbr = 1 fth = 2.4 ft

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