Classify each of the structures shown as completely,

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Determine the force in each member of the Gambrel roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the Howe roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the Pratt roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the Fink roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the double-pitch roof truss shown. State whether each member is in tension or compression.

The truss shown is one of several supporting an advertising panel. Determine the force in each member of the truss for a wind load equivalent to the two forces shown. State whether each member is in tension or compression.

Determine the force in each of the members located to the left of line FGH for the studio roof truss shown. State whether each member is in tension or compression.

Determine the force in member FG and in each of the members located to the right of FG for the studio roof truss shown. State whether each member is in tension or compression.

Determine the force in each of the members located to the left of FG for the scissors roof truss shown. State whether each member is in tension or compression.

Determine the force in member FG and in each of the members located to the right of FG for the scissors roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the Warren bridge truss shown. State whether each member is in tension or compression.

Solve Prob. 6.19 assuming that the load applied at E has been removed.

Determine the force in each member of the Pratt bridge truss shown. State whether each member is in tension or compression.

Solve Prob. 6.21 assuming that the load applied at G has been removed.

The portion of truss shown represents the upper part of a power transmission line tower. For the given loading, determine the force in each of the members located above HJ. State whether each member is in tension or compression.

For the tower and loading of Prob. 6.23 and knowing that \(F_{C H} \ = \ F_{E J} \ = \ 1.2 \mathrm{kN} \ \mathrm{C}\) and \(F_{E H} \ = \ 0\), determine the force in member HJ and in each of the members located between HJ and NO. State whether each member is in tension or compression.

Solve Prob. 6.23 assuming that the cables hanging from the right side of the tower have fallen to the ground.

Determine the force in each of the members connecting joints A through F of the vaulted roof truss shown. State whether each member is in tension or compression.

Determine the force in each member of the truss shown. State whether each member is in tension or compression.

Determine the force in each member of the truss shown. State whether each member is in tension or compression.

Determine whether the trusses of Probs. 6.31a, 6.32a, and 6.33a are simple trusses.

Determine whether the trusses of Probs. 6.31b, 6.32b, and 6.33b are simple trusses.

For the given loading, determine the zero-force members in each of the two trusses shown.

For the given loading, determine the zero-force members in each of the two trusses shown.

For the given loading, determine the zero-force members in each of the two trusses shown.

Determine the zero-force members in the truss of (a) Prob. 6.26, (b) Prob. 6.28.

The truss shown consists of six members and is supported by a short link at A, two short links at B, and a ball and socket at D. Determine the force in each of the members for the given loading.

The truss shown consists of six members and is supported by a ball and socket at B, a short link at C, and two short links at D. Determine the force in each of the members for P = (-2184 N)j and Q = 0.

The truss shown consists of six members and is supported by a ball and socket at B, a short link at C, and two short links at D. Determine the force in each of the members for P = 0 and Q = (2968 N)i.

The truss shown consists of nine members and is supported by a ball and socket at A, two short links at B, and a short link at C. Determine the force in each of the members for the given loading.

The truss shown consists of nine members and is supported by a ball and socket at B, a short link at C, and two short links at D. (a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate. (b) Determine the force in each member for P = (-1200 N)j and Q = 0.

Solve Prob. 6.39 for P = 0 and Q = (-900 N)k.

The truss shown consists of 18 members and is supported by a ball and socket at A, two short links at B, and one short link at G. (a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate. (b) For the given loading, determine the force in each of the six members joined at E.

The truss shown consists of 18 members and is supported by a ball and socket at A, two short links at B, and one short link at G. (a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate. (b) For the given loading, determine the force in each of the six members joined at G.

Determine the force in members CD and DF of the truss shown.

Determine the force in members FG and FH of the truss shown.

A Warren bridge truss is loaded as shown. Determine the force in members CE, DE, and DF.

A Warren bridge truss is loaded as shown. Determine the force in members EG, FG, and FH.

Determine the force in members DF, EF, and EG of the truss shown.

Determine the force in members GI, GJ, and HI of the truss shown.

Determine the force in members AD, CD, and CE of the truss shown.

Determine the force in members DG, FG, and FH of the truss shown.

A stadium roof truss is loaded as shown. Determine the force in members AB, AG, and FG.

A stadium roof truss is loaded as shown. Determine the force in members AE, EF, and FJ.

Determine the force in members CD and DF of the truss shown.

Determine the force in members CE and EF of the truss shown.

The truss shown was designed to support the roof of a food market. For the given loading, determine the force in members FG, EG, and EH.

The truss shown was designed to support the roof of a food market. For the given loading, determine the force in members KM, LM, and LN.

A Polynesian, or duopitch, roof truss is loaded as shown. Determine the force in members DF, EF, and EG.

A Polynesian, or duopitch, roof truss is loaded as shown. Determine the force in members HI, GI, and GJ.

Determine the force in members DE and DF of the truss shown when P = 20 kips.

Determine the force in members EG and EF of the truss shown when P = 20 kips.

Determine the force in members EH and GI of the truss shown. (Hint: Use section aa.)

Determine the force in members HJ and IL of the truss shown. (Hint: Use section bb.)

Determine the force in members DG and FI of the truss shown. (Hint: Use section aa.)

Determine the force in members GJ and IK of the truss shown. (Hint: Use section bb.)

The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the forces in the counters that are acting under the given loading.

The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the forces in the counters that are acting under the given loading.

The diagonal members in the center panels of the power transmission line tower shown are very slender and can act only in tension; such members are known as counters. For the given loading, determine (a) which of the two counters listed below is acting, (b) the force in that counter. Counters CJ and HE.

The diagonal members in the center panels of the power transmission line tower shown are very slender and can act only in tension; such members are known as counters. For the given loading, determine (a) which of the two counters listed below is acting, (b) the force in that counter. Counters IO and KN.

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)

Determine the force in member BD and the component of the reaction at C.

Determine the force in member BD and the component of the reaction at C.

Determine the components of all forces acting on member ABCD of the assembly shown.

Determine the components of all forces acting on member ABD of the frame shown.

For the frame and loading shown, determine the components of all forces acting on member ABC.

For the frame and loading shown, determine the components of all forces acting on member ABC. Solve Prob. 6.79 assuming that the 20-kip load is replaced by a clockwise couple of magnitude \(100 kip \cdot ft\) applied to member EDC at point D.

Determine the components of all forces acting on member ABCD when u = 0.

Determine the components of all forces acting on member ABCD when \(u = 90^{\circ}\).

Determine the components of the reactions at A and E if a 750-N force directed vertically downward is applied (a) at B, (b) at D.

Determine the components of the reactions at A and E if a 750-N force directed vertically downward is applied (a) at B, (b) at D.

Determine the components of the reactions at A and E if the frame is loaded by a clockwise couple of magnitude \(36 N \cdot m\) applied (a) at B, (b) at D.

Determine the components of the reactions at A and E if the frame is loaded by a clockwise couple of magnitude \(36 N \cdot m\) applied (a) at B, (b) at D.

Determine all the forces exerted on member AI if the frame is loaded by a clockwise couple of magnitude \(1200 lb \cdot in.\) applied (a) at point D, (b) at point E.

Determine all the forces exerted on member AI if the frame is loaded by a 40-lb force directed horizontally to the right and applied (a) at point D, (b) at point E.

Determine the components of the reactions at A and B, (a) if the 100-lb load is applied as shown, (b) if the 100-lb load is moved along its line of action and is applied at point F.

(a) Show that when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal and parallel to the forces that the cable exerted on the pulley. (b) Show that if one end of the cable is attached to the frame at a point B, a force of magnitude equal to the tension in the cable should also be applied at B.

A 3-ft-diameter pipe is supported every 16 ft by a small frame like that shown. Knowing that the combined weight of the pipe and its contents is 500 lb/ft and assuming frictionless surfaces, determine the components (a) of the reaction at E, (b) of the force exerted at C on member CDE.

Solve Prob. 6.91 for a frame where h = 6 ft.

Knowing that the pulley has a radius of 0.5 m, determine the components of the reactions at A and E.

Knowing that the pulley has a radius of 50 mm, determine the components of the reactions at B and E.

A trailer weighing 2400 lb is attached to a 2900-lb pickup truck by a ball-and-socket truck hitch at D. Determine (a) the reactions at each of the six wheels when the truck and trailer are at rest, (b) the additional load on each of the truck wheels due to the trailer.

In order to obtain a better weight distribution over the four wheels of the pickup truck of Prob. 6.95, a compensating hitch of the type shown is used to attach the trailer to the truck. The hitch consists of two bar springs (only one is shown in the figure) that fit into bearings inside a support rigidly attached to the truck. The springs are also connected by chains to the trailer frame, and specially designed hooks make it possible to place both chains in tension. (a) Determine the tension T required in each of the two chains if the additional load due to the trailer is to be evenly distributed over the four wheels of the truck. (b) What are the resulting reactions at each of the six wheels of the trailer-truck combination?

The cab and motor units of the front-end loader shown are connected by a vertical pin located 2 m behind the cab wheels. The distance from C to D is 1 m. The center of gravity of the 300-kN motor unit is located at \(G_{m}\), while the centers of gravity of the 100-kN cab and 75-kN load are located, respectively, at \(G_{c}\) and \(G_{l}\). Knowing that the machine is at rest with its brakes released, determine (a) the reactions at each of the four wheels, (b) the forces exerted on the motor unit at C and D.

Solve Prob. 6.97 assuming that the 75-kN load has been removed.

For the frame and loading shown, determine the components of all forces acting on member ABE.

For the frame and loading shown, determine the components of all forces acting on member ABE.

For the frame and loading shown, determine the components of all forces acting on member ABD.

For the frame and loading shown, determine the components of all forces acting on member ABD. Solve Prob. 6.101 assuming that the 360-lb load has been removed.

For the frame and loading shown, determine the components of the forces acting on member CDE at C and D.

For the frame and loading shown, determine the components of the forces acting on member CFE at C and F.

For the frame and loading shown, determine the components of all forces acting on member ABD.

For the frame and loading shown, determine the components of all forces acting on member ABD. Solve Prob. 6.105 assuming that the 3-kN load has been removed.

Determine the reaction at F and the force in members AE and BD.

For the frame and loading shown, determine the reactions at A, B, D, and E. Assume that the surface at each support is frictionless.

The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that P = 112 kN and Q = 140 kN, determine (a) the components of the reaction at A, (b) the components of the force exerted at B on segment AB.

The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that P = 140 kN and Q = 112 kN, determine (a) the components of the reaction at A, (b) the components of the force exerted at B on segment AB.

Members ABC and CDE are pin-connected at C and supported by four links. For the loading shown, determine the force in each link.

Members ABC and CDE are pin-connected at C and supported by four links. For the loading shown, determine the force in each link.

Members ABC and CDE are pin-connected at C and supported by four links. For the loading shown, determine the force in each link.

Members ABC and CDE are pin-connected at C and supported by the four links AF, BG, DG, and EH. For the loading shown, determine the force in each link.

Solve Prob. 6.112 assuming that the force P is replaced by a clockwise couple of moment \(M_{0}\) applied to member CDE at D.

Solve Prob. 6.114 assuming that the force P is replaced by a clockwise couple of moment \(M_{0}\) applied at the same point.

Four beams, each of length 3a, are held together by single nails at A, B, C, and D. Each beam is attached to a support located at a distance a from an end of the beam as shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at E, F, G, and H.

Four beams, each of length 2a, are nailed together at their midpoints to form the support system shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at A, D, E, and H.

Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.

Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.

Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.

The shear shown is used to cut and trim electronic-circuit-board laminates. For the position shown, determine (a) the vertical component of the force exerted on the shearing blade at D, (b) the reaction at C.

The press shown is used to emboss a small seal at E. Knowing that P = 250 N, determine (a) the vertical component of the force exerted on the seal, (b) the reaction at A.

The press shown is used to emboss a small seal at E. Knowing that the vertical component of the force exerted on the seal must be 900 N, determine (a) the required vertical force P, (b) the corresponding reaction at A.

Water pressure in the supply system exerts a downward force of 135 N on the vertical plug at A. Determine the tension in the fusible link DE and the force exerted on member BCE at B.

An 84-lb force is applied to the toggle vise at C. Knowing that \(u = 90^{\circ}\), determine (a) the vertical force exerted on the block at D, (b) the force exerted on member ABC at B.

An 84-lb force is applied to the toggle vise at C. Knowing that \(u = 90^{\circ}\), determine (a) the vertical force exerted on the block at D, (b) the force exerted on member ABC at B. Solve Prob. 6.126 when u = 0.

For the system and loading shown, determine (a) the force P required for equilibrium, (b) the corresponding force in member BD, (c) the corresponding reaction at C.

The Whitworth mechanism shown is used to produce a quick-return motion of point D. The block at B is pinned to the crank AB and is free to slide in a slot cut in member CD. Determine the couple M that must be applied to the crank AB to hold the mechanism in equilibrium when (a) \(\mathrm{a}=0\), (b) \(a=30^{\circ}\).

The Whitworth mechanism shown is used to produce a quick-return motion of point D. The block at B is pinned to the crank AB and is free to slide in a slot cut in member CD. Determine the couple M that must be applied to the crank AB to hold the mechanism in equilibrium when (a) \(\mathrm{a}=0\), (b) \(\mathrm{a}=30^{\circ}\). Solve Prob. 6.129 when (a) \(\mathrm{a}=60^{\circ}\), (b) \(\mathrm{a}=90^{\circ}\).

A couple M of magnitude \(1.5 \ kN \cdot m\) is applied to the crank of the engine system shown. For each of the two positions shown, determine the force P required to hold the system in equilibrium.

A force P of magnitude 16 kN is applied to the piston of the engine system shown. For each of the two positions shown, determine the couple M required to hold the system in equilibrium.

The pin at B is attached to member ABC and can slide freely along the slot cut in the fixed plate. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when \(u = 30^{\circ}\).

The pin at B is attached to member ABC and can slide freely along the slot cut in the fixed plate. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when \(u=60^{\circ}\).

Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when \(u=30^{\circ}\).

Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when \(u=30^{\circ}\).

Two rods are connected by a frictionless collar B. Knowing that the magnitude of the couple \(\mathbf{M}_{A}\) is 500 lb in., determine (a) the couple \(\mathbf{M}_{C}\) required for equilibrium, (b) the corresponding components of the reaction at C.

Two rods are connected by a frictionless collar B. Knowing that the magnitude of the couple \(\mathbf{M}_{A}\) is 500 lb in., determine (a) the couple \(\mathbf{M}_{C}\) required for equilibrium, (b) the corresponding components of the reaction at C.

Two hydraulic cylinders control the position of the robotic arm ABC. Knowing that in the position shown the cylinders are parallel, determine the force exerted by each cylinder when P = 160 N and Q = 80 N.

Two hydraulic cylinders control the position of the robotic arm ABC. In the position shown, the cylinders are parallel and both are in tension. Knowing that \(F_{AE} = 600 N\) and \(F_{DG} = 50 N\), determine the forces P and Q applied at C to arm ABC.

The tongs shown are used to apply a total upward force of 45 kN on a pipe cap. Determine the forces exerted at D and F on tong ADF.

If the toggle shown is added to the tongs of Prob. 6.141 and a single vertical force is applied at G, determine the forces exerted at D and F on tong ADF.

A small barrel weighing 60 lb is lifted by a pair of tongs as shown. Knowing that a = 5 in., determine the forces exerted at B and D on tong ABD.

A 39-ft length of railroad rail of weight 44 lb/ft is lifted by the tongs shown. Determine the forces exerted at D and F on tong BDF.

Determine the magnitude of the gripping forces produced when two 300-N forces are applied as shown.

The compound-lever pruning shears shown can be adjusted by placing pin A at various ratchet positions on blade ACE. Knowing that 300-lb vertical forces are required to complete the pruning of a small branch, determine the magnitude P of the forces that must be applied to the handles when the shears are adjusted as shown.

The pliers shown are used to grip a 0.3-in.-diameter rod. Knowing that two 60-lb forces are applied to the handles, determine (a) the magnitude of the forces exerted on the rod, (b) the force exerted by the pin at A on portion AB of the pliers.

In using the bolt cutter shown, a worker applies two 300-N forces to the handles. Determine the magnitude of the forces exerted by the cutter on the bolt.

The specialized plumbing wrench shown is used in confined areas (e.g., under a basin or sink). It consists essentially of a jaw BC pinned at B to a long rod. Knowing that the forces exerted on the nut are equivalent to a clockwise (when viewed from above) couple of magnitude \(135 \ lb \cdot in.\), determine (a) the magnitude of the force exerted by pin B on jaw BC, (b) the couple \(\mathbf{M}_{0}\) that is applied to the wrench.

Determine the force P that must be applied to the toggle CDE to maintain bracket ABC in the position shown.

Determine the force P that must be applied to the toggle CDE to maintain bracket ABC in the position shown.

A 45-lb shelf is held horizontally by a self-locking brace that consists of two parts EDC and CDB hinged at C and bearing against each other at D. Determine the force P required to release the brace.

The telescoping arm ABC is used to provide an elevated platform for construction workers. The workers and the platform together have a mass of 200 kg and have a combined center of gravity located directly above C. For the position when \(u = 20^{\circ}\), determine (a) the force exerted at B by the single hydraulic cylinder BD, (b) the force exerted on the supporting carriage at A.

The telescoping arm ABC of Prob. 6.153 can be lowered until end C is close to the ground, so that workers can easily board the platform. For the position when \(u = -20^{\circ}\), determine (a) the force exerted at B by the single hydraulic cylinder BD, (b) the force exerted on the supporting carriage at A.

The bucket of the front-end loader shown carries a 3200-lb load. The motion of the bucket is controlled by two identical mechanisms, only one of which is shown. Knowing that the mechanism shown supports one-half of the 3200-lb load, determine the force exerted (a) by cylinder CD, (b) by cylinder FH.

The motion of the bucket of the front-end loader shown is controlled by two arms and a linkage that are pin-connected at D. The arms are located symmetrically with respect to the central, vertical, and longitudinal plane of the loader; one arm AFJ and its control cylinder EF are shown. The single linkage GHDB and its control cylinder BC are located in the plane of symmetry. For the position and loading shown, determine the force exerted (a) by cylinder BC, (b) by cylinder EF.

The motion of the backhoe bucket shown is controlled by the hydraulic cylinders AD, CG, and EF. As a result of an attempt to dislodge a portion of a slab, a 2-kip force P is exerted on the bucket teeth at J. Knowing that \(u = 45^{\circ}\), determine the force exerted by each cylinder.

The motion of the backhoe bucket shown is controlled by the hydraulic cylinders AD, CG, and EF. As a result of an attempt to dislodge a portion of a slab, a 2-kip force P is exerted on the bucket teeth at J. Knowing that \(u = 45^{\circ}\), determine the force exerted by each cylinder. Solve Prob. 6.157 assuming that the 2-kip force P acts horizontally to the right (u = 0).

In the planetary gear system shown, the radius of the central gear A is a = 18 mm, the radius of each planetary gear is b, and the radius of the outer gear E is (a + 2b). A clockwise couple of magnitude \(M_{A} = 10 \ N \cdot m\) is applied to the central gear A and a counterclockwise couple of magnitude \(M_{S} = 50 \ N \cdot m\) is applied to the spider BCD. If the system is to be in equilibrium, determine (a) the required radius b of the planetary gears, (b) the magnitude \(M_{E}\) of the couple that must be applied to the outer gear E.

The gears D and G are rigidly attached to shafts that are held by frictionless bearings. If \(r_{D}=90 \ \mathrm{mm}\) and \(r_{G}=30 \ \mathrm{mm}\), determine (a) the couple \(\mathbf{M}_{0}\) that must be applied for equilibrium, (b) the reactions at A and B.

Two shafts AC and CF, which lie in the vertical xy plane, are connected by a universal joint at C. The bearings at B and D do not exert any axial force. A couple of magnitude \(500 lb \cdot in.\) (clockwise when viewed from the positive x axis) is applied to shaft CF at F. At a time when the arm of the crosspiece attached to shaft CF is horizontal, determine (a) the magnitude of the couple that must be applied to shaft AC at A to maintain equilibrium, (b) the reactions at B, D, and E. (Hint: The sum of the couples exerted on the crosspiece must be zero.)

Two shafts AC and CF, which lie in the vertical xy plane, are connected by a universal joint at C. The bearings at B and D do not exert any axial force. A couple of magnitude \(500 lb \cdot in.\) (clockwise when viewed from the positive x axis) is applied to shaft CF at F. At a time when the arm of the crosspiece attached to shaft CF is horizontal, determine (a) the magnitude of the couple that must be applied to shaft AC at A to maintain equilibrium, (b) the reactions at B, D, and E. (Hint: The sum of the couples exerted on the crosspiece must be zero.) Solve Prob. 6.161 assuming that the arm of the crosspiece attached to shaft CF is vertical.

The large mechanical tongs shown are used to grab and lift a thick 7500-kg steel slab HJ. Knowing that slipping does not occur between the tong grips and the slab at H and J, determine the components of all forces acting on member EFH. (Hint: Consider the symmetry of the tongs to establish relationships between the components of the force acting at E on EFH and the components of the force acting at D on DGJ.)

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Using the method of joints, determine the force in each member of the roof truss shown. State whether each member is in tension or compression.

A Howe scissors roof truss is loaded as shown. Determine the force in members DF, DG, and EG.

A Howe scissors roof truss is loaded as shown. Determine the force in members GI, HI, and HJ.

Rod CD is fitted with a collar at D that can be moved along rod AB, which is bent in the shape of an arc of circle. For the position when \(u = 30^{\circ}\), determine (a) the force in rod CD, (b) the reaction at B.

For the frame and loading shown, determine the components of all forces acting on member ABC.

Knowing that each pulley has a radius of 250 mm, determine the components of the reactions at D and E.

For the frame and loading shown, determine the components of the forces acting on member DABC at B and D.

For the frame and loading shown, determine (a) the reaction at C, (b) the force in member AD.

The control rod CE passes through a horizontal hole in the body of the toggle system shown. Knowing that link BD is 250 mm long, determine the force Q required to hold the system in equilibrium when \(\mathbf{b}=20^{\circ}\).

Determine the magnitude of the gripping forces exerted along line Review Problems aa on the nut when two 50-lb forces are applied to the handles as shown. Assume that pins A and D slide freely in slots cut in the jaws.

Knowing that the frame shown has a sag at B of a = 1 in., determine the force P required to maintain equilibrium in the position shown.