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engineering
civil engineering

Questions and Answers of Civil Engineering

The uniform pole has a weight W and length L. Its end B is tied to a supporting cord, and end A is placed against the wall, for which the coefficient of static friction is μs . Determine the largest
The carpenter slowly pushes the uniform board horizontally over the top of the saw horse. The board has a uniform weight density γ and the saw horse has a weight W and a center of gravity at G.
The carpenter slowly pushes the uniform board horizontally over the top of the saw horse. The board has a uniform weight density γ and the saw horse has a weight W and a center of gravity at G.
The disk of mass mo rests on the surface for which the coefficient of static friction is μA Determine the largest couple moment M that can be applied to the bar without causing motion. Given:mo = 45
The disk of mass m0 rests on the surface for which the coefficient of static friction is μA Determine the friction force at A.Given:M 50 = N ∙ mmo = 45 kgμA = 0.2a = 300 mmb = 400 mmr = 125 mm
A block of weight W is attached to a light rod AD that pivots at pin A. If the coefficient of static friction between the plane and the block is μs , determine the minimum angle θ at which the
Determine the force P needed to lift the load of weight W. Smooth rollers are placed between the wedges. The coefficient of static friction between A and C and between B and D is μs. Neglect the
The wedge is used to level the floor of a building. For the floor loading shown, determine the horizontal force P that must be applied to move the wedge forward. The coefficient of static friction
The three stone blocks have weights WA, WB, and WC. Determine the smallest horizontal force P that must be applied to block C in order to move this block. The coefficient of static friction between
If the spring is compressed a distance δ and the coefficient of static friction between the tapered stub S and the slider A is μsA, determine the horizontal force P needed to move the slider
The coefficient of static friction between wedges B and C is μs1 and between the surfaces of contact B and A and C and D, μs2. If the spring is compressed to a distance δ when in the position
The coefficient of static friction between the wedges B and C is μs1 and between the surfaces of contact B and A and C and D, μs2. Determine the smalls allowable compression of the spring δ
The wedge blocks are used to hold the specimen in a tension testing machine. Determine the design angle θ of the wedges so that the specimen will not slip regardless of the applied load. The
The wedge is used to level the member. Determine the reversed horizontal force -P that must be applied to pull the wedge out to the left. The coefficient of static friction between the wedge and the
If the coefficient of static friction between all the surfaces of contact is μs, determine the force P that must be applied to the wedge in order to lift the brace that supports the load F.
The column is used to support the upper floor. If a force F is applied perpendicular to the handle to tighten the screw, determine the compressive force in the column. The square-threaded screw on
The column is used to support the upper floor. If the force F is removed from the handle of the jack, determine if the screw is self-locking.. The square-threaded screw on the jack has a coefficient
The vise is used to grip the pipe. If a horizontal force F1 is applied perpendicular to the end of the handle of length l, determine the compressive force F developed in the pipe. The square threads
Determine the couple forces F that must be applied to the handle of the machinist's vise in order to create a compressive force FA in the block Neglect friction at the bearing A. The guide at B is
If couple forces F are applied to the handle of the machinist’s vise, determine the compressive force developed in the block Neglect friction at the bearing A. The guide at B is smooth. The single
The machine part is held in place using the double-end clamp. The bolt at B has square threads with a mean radius r and a lead r1, and the coefficient of static friction with the nut is μs. If a
Determine the clamping force on the board A if the screw of the “C” clamp is tightened with a twist M. The single square-threaded screw has a mean radius r, a lead h, and the coefficient of
If the required clamping force at the board A is to be P, determine the torque M that must be applied to the handle of the “C” clamp to tighten it down. The single square-threaded screw has a
Determine the clamping force on the board at A if the screw of the hold-down clamp is tightened with a twist M. The single square-threaded screw has a mean radius of r and a lead of rl, and the
If the required clamping force at the board A is to be F, determine the torque M that must be applied to the handle of the hold-down clamp to tighten it down. The single square-threaded screw has a
The fixture clamp consists of a square-threaded screw having a coefficient of static friction μs mean diameter d, and a lead h. The five points indicated are pin connections. Determine the clamping
The clamp provides pressure from several directions on the edges of the board. If the square-threaded screw has a lead h, radius r, and the coefficient of static friction is μs, determine the
The two blocks under the double wedge are brought together using a left and right square-threaded screw. If the mean diameter is d, the lead is rl, and the coefficient of static friction is μs ,
The two blocks under the double wedge are brought together using a left and right square-threaded screw. If the mean diameter is d, the lead is rl, and the coefficient of static friction is μs ,
The cord supporting the cylinder of mass M passes around three pegs, A, B, C, where the coefficient of friction is μs. Determine the range of values for the magnitude of the horizontal force P for
The truck, which has mass mt , is to be lowered down the slope by a rope that is wrapped around a tree. If the wheels are free to roll and the man at A can resist a pull P, determine the minimum
The wheel is subjected to a torque M. If the coefficient of kinetic friction between the band brake and the rim of the wheel is μk, determine the smallest horizontal force P that must be applied to
A cylinder A has a mass M. Determine the smallest force P applied to the handle of the lever required for equilibrium. The coefficient of static friction between the belt and the wheel is μs. The
Determine the largest mass of cylinder A that can be supported from the drum if a force P is applied to the handle of the lever. The coefficient of static friction between the belt and the wheel is
The uniform bar AB is supported by a rope that passes over a frictionless pulley at C and a fixed peg at D. If the coefficient of static friction between the rope and the peg is μD, determine the
Determine the smallest lever force P needed to prevent the wheel from rotating if it is subjected to a torque M. The coefficient of static friction between the belt and the wheel is μs. The wheel is
Determine the torque M that can be resisted by the band brake if a force P is applied to the handle of the lever. The coefficient of static friction between the belt and the wheel is μs. The wheel
Blocks A and B weigh WA and WB and respectively. Using the coefficients of static friction indicated; determine the greatest weight of block D without causing motion.Given:WA = 50 lbWB = 30 lbμ =
Blocks A and B have weight W, and D weighs WD. Using the coefficients of static friction indicated, determine the frictional force between blocks A and B and between block A and the floor C.Given:W =
Show that the frictional relationship between the belt tensions, the coefficient of friction μ, and the angular contacts α and β for the V-belt is T2=T1eμβ/sin(α/2) when the belt is on the
A V-fan-belt (V-angle θ) of an automobile engine passes around the hub H of a generator G and over the housing F to a fan. If the generator locks, and the maximum tension the belt can sustain is
A cable is attached to the plate B of mass MB, passes over a fixed peg at C, and is attached to the block at A. Using the coefficients of static friction shown, determine the smallest mass of block A
The simple band brake is constructed so that the ends of the friction strap are connected to the pin at A and the lever arm at B. If the wheel is subjected to a torque M, determine the smallest force
The uniform beam of weight W1 is supported by the rope which is attached to the end of the beam, wraps over the rough peg, and is then connected to the block of weight W2. If the coefficient of
The uniform concrete pipe has weight W and is unloaded slowly from the truck bed using the rope and skids shown. If the coefficient of kinetic friction between the rope and pipe is μk, determine the
A cord having a weight density γ and a total length L is suspended over a peg P as shown. If the coefficient of static friction between the peg and cord is μs, determine the longest length h which
Granular material, having a density ρ is transported on a conveyor belt that slides over the fixed surface, having a coefficient of kinetic friction of μk. Operation of the belt is provided by a
Blocks A and B have a mass MA and MB, respectively. If the coefficient of static friction between A and B and between B and C is μs and between the ropes and the pegs D and E μs, determine the
Blocks A and B weigh W1 and W2, respectively. Using the coefficients of static friction indicated, determine the greatest weight W of block E without causing motion.Given:W1 = 50 lb d = 12W2 = 30 lb
Block A has mass mA and rests on surface B for which the coefficient of static friction is μsAB. If the coefficient of static friction between the cord and the fixed peg at C is μsC, determine the
Block A rests on the surface for which the coefficient of friction is μsAB. If the mass of the suspended cylinder is mD, determine the smallest mass mA of block A so that it does not slip or tip.
The collar bearing uniformly supports an axial force P. If the coefficient of static friction is μs, determine the torque M required to overcome friction.Given:a = 2 inb = 3 inP = 800 lbμ s = 0.3
The collar bearing uniformly supports an axial force P. If a torque M is applied to the shaft and causes it to rotate at constant velocity, determine the coefficient of kinetic friction at the
The double-collar bearing is subjected to an axial force P. Assuming that collar A supports kP and collar B supports (1 − k)P, both with a uniform distribution of pressure, determine the maximum
The annular ring bearing is subjected to a thrust P. If the coefficient of static friction is μs, determine the torque M that must be applied to overcome friction.Given:P = 800 lbμ s = 0.35a = 0.75
The floor-polishing machine rotates at a constant angular velocity. If it has weight W, determine the couple forces F the operator must apply to the handles to hold the machine stationary. The
The plate clutch consists of a flat plate A that slides over the rotating shaft S. The shaft is fixed to the driving plate gear B. If the gear C, which is in mesh with B, is subjected to a torque M,
The shaft of diameter b is held in the hole such that the normal pressure acting around the shaft varies linearly with its depth as shown. Determine the frictional torque that must be overcome to
Because of wearing at the edges, the pivot bearing is subjected to a conical pressure distribution at its surface of contact. Determine the torque M required to overcome friction and turn the shaft,
The conical bearing is subjected to a constant pressure distribution at its surface of contact. If the coefficient of static friction is μs, determine the torque M required to overcome friction if
The tractor is used to push the pipe of weight W. To do this it must overcome the frictional forces at the ground, caused by sand. Assuming that the sand exerts a pressure on the bottom of the pipe
Assuming that the variation of pressure at the bottom of the pivot bearing is defined as p = p0(R2/r), determine the torque M needed to overcome friction if the shaft is subjected to an axial force
A disk having an outer diameter a fits loosely over a fixed shaft having a diameter b, if the coefficient of static friction between the disk and the shaft is μs, determine the smallest vertical
The pulley has a radius r and fits loosely on the shaft of diameter d. If the loadings acting on the belt cause the pulley to rotate with constant angular velocity, determine the frictional force
The pulley has a radius r and fits loosely on the shaft of diameter d. If the loadings acting on the belt cause the pulley to rotate with constant angular velocity, determine the frictional force
A pulley of mass M has radius a and the axle has a diameter D. If the coefficient of kinetic friction between the axle and the pulley is μk determine the vertical force P on the rope required to
A pulley of mass M has radius a and the axle has a diameter D. If the coefficient of kinetic friction between the axle and the pulley is μk determine the force P on the rope required to lift the
A wheel on a freight car carries a load W. If the axle of the car has a diameter D, determine the horizontal force P that must be applied to the axle to rotate the wheel. The coefficient of kinetic
The trailer has a total weight W and center of gravity at G which is directly over its axle. If the axle has a diameter D, the radius of the wheel is r, and the coefficient of kinetic friction at the
The collar fits loosely around a fixed shaft that has radius r. If the coefficient of kinetic friction between the shaft and the collar is μk, determine the force P on the horizontal segment of the
The collar fits loosely around a fixed shaft that has radius r. If the coefficient of kinetic friction between the shaft and the collar is μk, determine the force P on the horizontal segment of the
The connecting rod is attached to the piston by a pin at B of diameter d1 and to the crank shaft by a bearing A of diameter d2. If the piston is moving downwards, and the coefficient of static
The connecting rod is attached to the piston by a pin at B of diameter d1 and to the crank shaft by a bearing A of diameter d2. If the piston is moving upwards, and the coefficient of static friction
The lawn roller has mass M. If the arm BA is held at angle θ from the horizontal and the coefficient of rolling resistance for the roller is r, determine the force P needed to push the roller at
The handcart has wheels with a diameter D. If a crate having a weight W is placed on the cart, determine the force P that must be applied to the handle to overcome the rolling resistance. The
The cylinder is subjected to a load that has a weight W. If the coefficients of rolling resistance for the cylinder's top and bottom surfaces are aA and aB respectively, show that a force having a
A steel beam of mass M is moved over a level surface using a series of rollers of diameter D for which the coefficient of rolling resistance is age at the ground and as at the bottom surface of the
A machine of mass M is to be moved over a level surface using a series of rollers for which the coefficient of rolling resistance is ag at the ground and am at the bottom surface of the machine.
A single force P is applied to the handle of the drawer. If friction is neglected at the bottom and the coefficient of static friction along the sides is μs determine the largest spacing s between
The truck has mass M and a center of mass at G. Determine the greatest load it can pull if.(a) The truck has rear-wheel drive while the front wheels are free to roll, and?(b) The truck has four-wheel
The truck has M and a center of mass at G. The truck is traveling up an incline of angle θ. Determine the greatest load it can pull if (a) The truck has rear-wheel drive while the front wheels are
A roofer, having a mass M, walks slowly in an upright position down along the surface of a dome that has a radius of curvature ρ. If the coefficient of static friction between his shoes and the dome
A man attempts to lift the uniform ladder of weight W to an upright position by applying a force P perpendicular to the ladder at rung R. Determine the coefficient of static friction between the
Column D is subjected to a vertical load W. It is supported on two identical wedges A and B for which the coefficient of static friction at the contacting surfaces between A and B and between B and C
Column D is subjected to a vertical load W. It is supported on two identical wedges A and B for which the coefficient of static friction at the contacting surfaces between A and B and between B and C
Locate the center of mass of the homogeneous rod bent in the form of a parabola.Given:a = 1 mb = 2 m
Locate the center of gravity xc of the homogeneous rod. If the rod has a weight per unit length γ, determine the vertical reaction at A and the x and y components of reaction at the pin B.Given:γ =
Locate the center of mass of the homogeneous rod bent into the shape of a circular arc.Given:r = 300 mmθ = 30 deg
Locate the center of gravity xc of the homogeneous rod bent in the form of a semicircular arc. The rod has a weight per unit length γ. Also, determine the horizontal reaction at the smooth support B
Determine the distance xc to the center of gravity of the homogeneous rod bent into the parabolic shape. If the rod has a weight per unit length γ determine the reactions at the fixed support
Determine the distance yc to the center of gravity of the homogeneous rod bent into the parabolic shape.Given:a = 1 ftb = 0.5 ft
Locate the centroid of the parabolic area.
Locate the centroid yc of the shaded area.Given:a = 100 mmb = 100 mm
Locate the centroid xc of the shaded area.
Determine the location (xc, yc) of the centroid of the triangular area.
Determine the location (xc, yc) of the center of gravity of the quarter circular plate. Also determine the force in each of the supporting wires. The plate has a weight per unit area of γ.Given:γ =
Locate the centroid of the shaded area.
Locate the center of gravity of the homogeneous cantilever beam and determine the reactions at the fixed support. The material has a density of ρ.Units Used: Mg = 103 kg kN = 103 NGiven: ρ = 8
Locate the centroid (xc, yc) of the exparabolic segment of area.
Locate the centroid of the shaded area.

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