Engineering mechanics statics 2nd edition riley

State whether each member is in tension or compression. Use the method of joints to determine the force in each member of the truss shown in Fig. P, State whether each member is in tension or compression. PT-5, State whether each member is in tension or compression. C ans. T Ans. Ed, F. The length of all members is 3m State whether each member is in tension or compression. P supports one side of bridge; an identical truss supports the other side.

Floor beams carry vehicle loads to the truss joints. The center of gravity of the truck is midway between the front and rear wheels. F repens : —t-sa. P supports one side of a bridge; an identical truss supports the other side. Floor beams carry vehicle loads to the truss joints, Calculate the forces in menbers CD, CG, and DG when a truck having a mass of kg is stopped in the middle of the bridge as shown. The center of gravity of the truck is 1 » in front of the rear wheels.

S84KN — From a free-body diagram for joint B: cos SOKN cos The sign is connected to the truss at joints E, G, and H, and the connecting links are adjusted so that each joint carries one third of the load. Use the method of sections. Hint: Use ib section a-a. Hint: Use section ara. From a free-body diagran of the part of the truss to the right of section a-a. P without producing a force of more than 1b in member CD. P without producing a force of more than 3 KN in member EJ.

P, on: won Fig. P down the middle as indicated, and write the equilibrium equations for each piece. Eliminate the member forces from the resulting six equations and show that the result is equivalent to equilibrium of the whole truss. Determine the support reactions and the force in each member of this space truss. Ed A wire is stretched tight between two pylons, one of which is shown in Fig.

The supports are equivalent to a ball-and-socket joint at B and short links at A and C. Determine the support. The supports are equivalent to ball-and- socket joint at B and short links at A and C.

The 1. From a free-body diagram for joint B: cn P is supported by a ball-and-socket joint at D and by short links at A and C. P is supported by a ball-and-socket joint at B and by short links at Aand D, Determine the support reactions and the force in each member of this space truss.

From a free-body diagram for joint D: oe P is supported by ball-and-socket joint at A and by short links at B. C, and D. Ei The space truss shown in Fig. P is supported by a ball-and-socket joint at A and by short links at Band C.

The weight is supported equally by the two joints. In addition, a wind blowing straight at the sign exerts a force of 15 Ib in the direction of the negative y-axis — also distributed evenly between the two joints.

The truss supports are equivalent to a ball- and-socket joint at B and short links at A, C, and F, Determine the support reactions and the force in each member of the truss. Tp 20 Ans. Tp 70 Ans. NT Ans. P F. Determine all forces acting on member BCD of the frame. N 7 From a free-body diagram eMe B for the pulley at C: : Bx 47d bs P are parallel. The bolts pass through swivel mounts so that no moments act on them.

The clamp exerts forces of N on each side of the board. Treat the forces on the boards as uniformly distributed over the contact areas and determine the forces in each of the bolts. Shox on a sketch all forces acting on the upper jaw of the clamp. P is used to hold the block F against the floor. Determine all forces acting on meaber ABC of the spring clamp and the force exerted by the gpring clamp on the block E.

P is used to hold block E in the corner. Determine all forces acting on member ABC of the spring clamp and the force exerted by the spring clamp on the block E. Ed, B. Determine all forces acting on member ACE of the frame shown in Fig.

The diameter of the pulley at Eis mm. N T From a free-body diagram 0. Ew isind Ans. The diameter of the pulley at D is 8 in. The weight of body W is 1b, ein fh 12, Fig. The diameters of the pulleys at C and E are nm, The mess of body W is kg.

From a free-body diagram. Determine the force exerted on the bolt at E and all forces acting on the ae handle ABC. P weighs 25 1b and has its center of gravity at G. Determine all forces acting on member ABC.

R— 3in. P is rigidly attached to the building at F. A cable is attached at D and passes over snail frictionless pulleys at A and E. The object suspended from C weighs N. Determine all forces acting on member ABCD. P is rigidly attached to the wall at C. A load of sand hangs from the cable which passes around the 1-ft diameter, frictionless pulley at D. The wheel at C is frictionless. N Ba sezn— ans. OEE 2 aria Bu 1b 7 8.

Determine all forces acting on member ACE. N Jo4o. NT D Ee cy Ke msent ans. Determine aro e all forces acting on Y member ADE.

Determine all forces acting on member AEC. The bucket and its contents weigh 10 kN and have a center of gravity at H. The weight of the hydraulic cylinders can be ignored. Hee G0? From a free-body diagram for 0.

From a free-body diagram uct for joint B: 9g P supports a roadway and vehicles giving the loading shown. Determine the force in each member of the space truss shown in Fig. The support at A is a ball and socket. The supports at D, E, and F are links. The screw threads exert a force F on the blocks at joints A and B. P, a cable is attached to the structure at E, passes around the 2-ft diameter, frictionless pulley at C, and then is attached to a b weight W. A second cable is attached between A and F.

P, a cable is attached to the structure at E, passes around the 0. Determine all forces acting on member BCD. P is designed to keep a load level while raising it. A pin on the rim of the 4-ft diameter pulley fits in a slot on arm ABC.

The mechanism is raised by pulling on the rope that is wrapped around the pulley. Determine the force P applied to the rope and all forces acting on the arm ABC when the package has been lifted 4 ft as shown.

The weights of the bars are negligible. P, a Determine the torques transmitted by transverse cross sections at points A, B, and C of the shaft. P, a Determine the maximum torque transmitted by any transverse cross section of the shaft.

P if each bar weighs 1b. PQ if the mass of the sign is 25 kg. Section aa in bar AB is located midway between the points of attachment of the sign. Determine the internal resisting forces and moment transmitted by a Section aa in bar BEF. Determine the internal resisting forces and moment transmitted by section aa in bar BCR. Link AB is a two-force member; joL0. Determine the internal resisting forces and moment transmitted by a Section aa in bar BDF.

Determine the internal resisting forces and moment transmitted by a Section aa in bar 8D. Determine the internal resisting forces and moment transmitted by a Section aa in bar CGE. Pa supports a kip load. The tensions in the three segments of the cable. The length L of the cable. The a a From a free-body diagram for the cabl 7. P, The sag at point C of the cable is 4 ft. Determine: a The horizontal and vertical components of the reactions at supports A and E.

The sag at point C of the cable is 6 ft. Fee feel esses eae cee aeee ve aT D 7 b The tensions in the four segments of the cable. Ygr Yor and yy c The length L of the cable. Determine: a The horizontal and vertical components of the reactions at supports A and D. ZoKN 5. The Fig. The vertical distance y, is 4 ft.

If the direction of the b load at point C is reversed lb , determine: defn 0 a The horizontal and e eat vertical components of the reactions at supports 4 and D. P is m. The sag at the center of the span is 50m. The cables been designed to resist maxiaua tension of kN.

Determine: a The design load per horizontal meter of roadway. If the maximum tension in the cable is kip and the sag at midspan is 40 ft, determine: a The horizontal distance between supports. The maximum tension in the cable is kN. Determine: a The angle between the cable and the horizontal at a support. The length of the cable is ft. If the maximum tension in the cable resulting from a uniformly distributed load w along the horizontal is kip, determine: a The sag in the cable at the middle of the span.

P is located 10 m below the right support. The lowest point on the cable is 13 » below the right support. If the maximum tension in the cable resulting from a uniformly distributed load w along the horizontal is KN, determine: a The angle between the cable and the 2 horizontal at the 7 right support.

The supports are ft apart and the left support is 30 ft lower than the right support. The lowest point on the cable is 25 ft below the left support. Determine: a The minimum tension in the cable. The horizontal distance between supports is m. The lowest point on the cable is 15 m below the right support. If the maximun tension in the cable resulting from a uniformly distributed load w along the horizontal is kN, determine: a The angle between the cable and the horizontal at the right support.

The cable weighs 0. Determine: a The sag midway between the supports. If the sag midway between the supports is 50 m, determine: a The length of the cable. Determine: a The tension in the cable at midspan. If the sag h, in the cable is m, deteraine: The tension in the cable its lowest point. The tension in the cable support A. The tension in the cable support B.

The length of the cable. The tower and one pair of cables is shown in Pig. The weight of the cables is 3. The horizontal component of the force exerted by each cable is Ib. Determine: a The maxinum tension in cable AC. N 4 Ans.

Using the coordinate axes shown, write equations for the shear force V and bending moment M for any section of the beam in the interval aft sx s8 ft. Determine the maximum tension in the cable and the sag h, in the cable if a The length of the cable is 33 a.

N N Ans. B : -1, te ye ATT, 81 gory ns. The boom weighs 1b and the cable weighs 2. Determine the maximum 0 tension in the cable, the length L of the cable, and the sag h at nidspan. Assume that the weight of the cable is uniforaly distributed along its horizontal length. B : 2 Ye? P91 up the inclined surface. P is required to produce impending motion of the block on the inclined surface. If the mass of the block is 10 kg, determine the coefficient of friction between the block and the surface.

P93, The coefficient of friction between the crate and the surface is 0. P, The coefficient of friction between the blocks is 0.

If motion of the blocks is impending, determine the coefficient of friction between block B and the inclined surface and the tension in the cable : between the two blocks.

P in equilibrium on the inclined surface if the coefficient of friction between the block and the surface is 0. Determine the force PB required to start moving the blocks if the coefficient of friction between the blocks and the surface is 0. Develop an expression for the coefficient of friction between the block and the surface for which impending notion by slipping and tipping occur simultaneously if a Force P acts in the direction shown on the figure.

Determine the force P required to start moving the blocks if the coefficient of friction is 0. One end of the rope is attached to block B; a force P is applied to the other end. Block A weighs 1b and block B weighs 1b. The coefficient of friction between the blocks is 0. Determine the minimum coefficient of friction for which block B is in equilibrium on the inclined surface. The coefficient of friction is 0. Determine the force B and the tension in the cord when notion of block B down the ig.

POLI inclined surface is impending. N Ans. The coefficient of friction between the block and the surface is 0. A light, inextensible cord is attached to the block, passes around a frictionless pulley, and is attached to a second block of mass M.

Determine the minimum and maximum masses, M. Is impending motion by slipping or by tipping? The pulley is frictionless, and the weight of the cord can be neglected. P94 to prevent slipping. P, The mass of the box and sled is 50 kg; the mass of the boy is 40 kg.

If the coefficient of kinetic friction between the sled runners and the icy surface is 0. P is in equilibrium on the inclined surface. Determine the weight W and the minimum coefficient of friction between the inclined surface and the cylinder.

Determine how far up the beam the girl can walk before the beam starts to slip if a The coefficient of friction is 0. If the weight of the ladder negligible, determine how up the ladder the man can climb before the ladder starts to slip if a The coefficient of friction is 0,25 at both surfaces. Ed, W. P, The coefficient of friction is 0. The pin in cylinder A is frictionless. Do the cylinders slip or roll? P weighs 8. N and is held up by the two cylinders, which are wedged between the broom handle and the side rails.

The coefficient of friction between the broom and cylinders and between the cylinders and side rails is 0. The weight of the cylinders may be neglected. Determine whether or not this system is in equilibrium. If the system is in equilibrium, determine the force exerted on the broom handle by the rollers. P weighs 1b. If the coefficient of friction is 0. P are Lightweight and all pins are frictionless.

P is Ib. The weights of the lever and cylinder can be neglected, and the pin at D is frictionless. The plate rests on rollers, and friction between the plate and the floor is negligible. Neglect the weight of the plate and determine the minimum force B necessary to nove the plate.

Determine the maximum force B for which the beam will be in equilibrium if the coefficient of friction H, is: a 0. Determine the maximum incline that the automobile can drive up if the automobile has a A rear-wheel drive. The coefficient of friction between the blocks and the surface is 0. The cylinders each weigh 1b and are 10 in. Determine the maximum force B that the cylinders can support without moving.

P is often used to hold notes or signs on bulletin boards. The weight of the paper causes the otherwise free cylinder to become wedged into the corner between the paper and the rail. Although no amount of downward force will cause the paper to slip out, the paper can be removed easily by lifting it upward and pulling it sideways.

The coefficient of friction is the same between the cylinder and the paper and between the cylinder and the front rail, The small amount of friction between the back side of the paper and the back of the device may be neglected.

Friction on the sides of the plunger may be ignored. If a force of 2 lb is required to just start closing the door and the coefficient of friction between the plunger and the striker plate is 0. The coefficient of friction between the wedge and the drum is 0,10 while the coefficient of friction is 0.

The coefficient of friction between the drum and the floor is 0. The coefficient of friction between the wedge and the drum is 0. Determine the required wedge angle P and the corresponding force PB so that slip occurs at all surfaces simultaneously. Determine the required wedge angle and the corresponding wedge weight W 80 that slip occurs at all surfaces simultaneously.

The weight of the wedges is negligible. Determine a The force B necessary to insert the wedge. Determine wedges is negligible. The weight of the C Fig. The weight of the wedges is negligible, Determine a The force B necessary to insert the wedge.

Determine a The force PB necessary to insert the wedge for the given angle 8, b The maximum angle for which P is smaller than the force needed to push the crate directly.

P is used to hold a cover in place. Determine the twisting moment necessary to tighten the clamp and whether or not the clamp will stay in place if the twisting moment is removed. P, a square- threaded screw is used to press the paper against the type bed. The single-threaded screw has a mean radius of 20 mm and a lead of mm. Determine the twisting moment necessary to operate the press and whether or not a moment must be applied to release the press. P is often used as a foot leveler on refrigerators and other heavy appliances.

Suppose the weight carried by a single foot screw is N and the screw has a mean radius of 3 mm and a lead of 1mm, The coefficient of friction is 0. Determine the minimum moment necessary to raise and the minimum moment to t lower the corner of the refrigerator.

Determine the moment that must be applied to the gear puller screw to remove the gear. P is used to secure a support cable on a sailboat. The double-threaded screws each have a mean radius of 4 mm and a pitch of 2 am and are threaded in opposite directions.

Determine the minimum moment necessary to tighten and the minimum moment necessary to x loosen the turnbuckle. Determine the torque required to rotate the wheel at a constant speed. N, determine the torque required to raise a 2. P consists of a 4-in. A rope passes over the pulley and is attached to a b weight. The static and kinetic coefficients of friction between the pulley and the shaft are 0. Determine the force necessary to: a Just start raising the weight. Fundamental principles for solving problems are emphasized throughout.

If you are interested in creating a course-pack that includes chapters from this book, you can get further information by calling or sending email inquiries to engineerjwiley. Offers a refreshing approach to mechanics through a careful, step-by-step development of basic concepts. Exceptional, full-color art gives clarity and realism to the illustrations.

Greater emphasis on free body diagrams provides a strong foundation. Covers moments of inertia and internal distribution extensively.

Introduces distributed loads early for use in all subsequent rigid body equilibrium chapters, offering greater flexibility in the types of loads that can be applied to rigid bodies.

William F. Riley is the author of Engineering Mechanics: Statics , published by Wiley. Leroy D. Sturges is the author of Engineering Mechanics: Statics , published by Wiley.

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