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engineering
engineering mechanics statics 15th

Engineering Mechanics Statics 15th Edition Russell C. Hibbeler - Solutions

Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 2 kN and P2 = 1.5 kN. A 30° - 3 m B D P₁ 30° 3 m C P₂
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 200 lb, P2 = 500 lb. 4 ft A -3 ft- B P₁ - P₂ -4 ft-
Determine the force in each member of the truss. State if the members are in tension or compression. D po A 800 lb -4 ft- B 3 ft 600 lb
Determine the force in each member of the truss. State if the members are in tension or compression. D 300 lb -2 ft + -2 ft- Prob. F6-2 B A 3 ft
Determine the force in member GJ and GC of the truss and state if the members are in tension or compression. 1000 lb A go 000 1000 lb 130° B -10 ft- H -10 ft- 1000 lb G -10 ft- Prob. R6-3 D 1000 lb -10 ft- E
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 7 kN, P2 = 7 kN. AQ P1 -2 m- D P₂ B C 2 m
Determine the greatest load P that can be applied to the truss so that none of the members are subjected to a force exceeding either 2 kN in tension or 1.5 kN in compression. A C 60⁰ 60° -3 m- Prob. F6-4 B
Determine the force in each member of the truss. State if the members are in tension or compression. 600 16 450 lb YE A -3 ft- D B 30° -3 ft с
Identify the zero-force members in the truss. 1.5 m E A -2 m- 3 kN D B -2m- 'C
Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 8 kN, P2 = 10 kN. AQ P₁ -2 m- D P₂ B C 2 m
Determine the resultant forces at pins B and Con member ABC of the four-member frame. F -2 ft- E 5 ft. -5 ft- Prob. R6-8 B -2 ft 150 lb/ft C D 4 ft
Determine the horizontal and vertical components of force that pins A and C exert on the two-member frame. 3 m C -3 m 400 N/m 500 N/m B 600 N/m
Determine the force in members LK, KC, and CD of the Pratt truss and state if the members are in tension or compression. 3 m A L K B C D E 20 kN 30 kN 40 kN F -2 m--2 m--2 m--2 m--2 m--2 m- G
Determine the force in members BC, CF, and FE and state if the members are in tension or compression. G 4 ft B 600 lb -4 ft- E 600 lb -4 ft 4 ft 800 lb
Determine the force in members KJ, KD, and CD of the Pratt truss and state if the members are in tension or compression. 3 m K B C D E H F -2 m--2 m--2 m--2 m--2 m--2 m- 20 KN 30 kN 40 kN G
Members AB and BC can each support a maximum compressive force of 800 lb, and members AD, DC, and BD can support a maximum tensile force of 1500 lb. If a = 10, determine the greatest load P the truss can support. A a B 36 D VP a 000 C
Determine the force in members EF, CF, and BC of the truss and state if the members are in tension or compression. G 30° 6 ft B 300 lb F -6 ft- 300 lb E 30° 6 ft
Determine the force in each member of the truss and state if the members are in tension or compression. Assume all member are pin connected. 3 m 1 m E -2 m D B -2 m C 20 KN
Determine the zero-force members in the Pratt roof truss. Explain your answers using appropriate joint free-body diagrams. A B 300 N C 400 N D L K J E F I H 12 m, 6 @ 2 m- 3 m
Determine the force in members GF, GD, and CD of the truss and state if the members are in tension or compression. 1 m 2m A H B -2m-2m- 10 kN G C -2 m- D -2 m- 25 kN 15 kN
Determine the force in members DC, HI, and JI of the truss and state if the members are in tension or compression. Suggestion: Use the sections shown. G T 6 ft 6 ft 12 ft ----|-6 ft-|-6 ft-|-- F -9 ft- 1200 lb S t H A K -9 ft- |-6 ft--6 ft- C B S E 1600 lb
Determine the force P needed to lift the load. Also, determine the proper placement x of the hook for equilibrium. Neglect the weight of the beam. 100 mm- 6 kN -0.9 m- 100 mm- 100 mm B C
Determine the components of reaction at A and B. 800 N-m 2 m B -2 m 1.5 m 45% 600 N 1.5 m
If a 100-N force is applied to the handles of the pliers, determine the clamping force exerted on the smooth pipe B and the magnitude of the resultant force that one of the members exerts on pin A. 100 N 100 N -250 mm- Prob. F6-15 45° B 50 mm
Determine the normal force that the 100-lb plate A exerts on the 30-lb plate B. -1 ft- A B -4 ft- Prob. F6-17 +1 ft-
Determine the components of reaction E. A E -1.5 m- 4 kN/m D -1.5 m- Prob. F6-23 B 2m C 5 kN
Determine the force in each member of the space truss and state if the members are in tension or compression. The The truss is supported by ball-and-socket joints at A, B, and E. Set F = {800j} N. 5 m 2 m. 1 m. A -1.5 m B 2 m & E
Determine the components of reaction at C. 250 N B D -1.5 m-1.5 m-1.5 m-1.5 m- Prob. F6-22 2 m 2m E
If each cord can support a maximum tension of 500 lb determine the largest weight that can be supported by the pulley system. Each pulley has a weight of 10 lb. A B: 2 in. C 2 in. 2 in. P
Determine the force in each member of the truss and state if the member is in tension or compression. Set P = kN. A -3 m 3 kN D B 6 kN -3 m C 2 m 2 m
Determine the force P needed to suspend the 100-lb weight. Each pulley has a weight of 10 lb. Also, what are the cord reactions at A and B? A 2 in. C 2 in. 2 in. P
The bridge frame consists of three parts which can be considered pinned at A, D, and E, rocker supported at C and F, and roller supported at B. Determine the horizontal and vertical components of reaction at all these supports. 20 ft 15 ft- 5 ft B -30 ft- 19 P 2 kip/ft 15 ft- F 5 ft E
Determine the force required to hold the 50-kg mass in equilibrium. B C A B P 191 ଅବର
Determine the horizontal and vertical components of force that pins A and B exert on the frame. 4 m A -3 m- B C 2 kN/m
Determine the horizontal and vertical components of force acting at the pins A, B, and C of the frame. 4 ft 45° 4 ft 100 lb 4 ft 100 lb 8 ft 30%
The two ends of the spanner wrench fit loosely into the smooth slots of the bolt head. Determine the torque M on the bolt and the resultant force on the pin at B when a force of P = 80 N is applied to the handle. PA 250 mm B M -70 mm 30 mm C
The picture frame is glued together at its corners and held in place by the 4-corner clamp. If the tension in the adjusting screw is 14 N, determine the horizontal and vertical components of the clamping force that member AD exerts on the smooth joints at B and C. All connections are pins.
The double tree AB is used to support the loadings applied to each of the single trees. Determine the total load that must be supported by the chain EG and its placement d for AB to remain horizontal. A 0.4 m 0.4 m 400 N 2 m- E 400 N G D 0.6 m 300 N B 0.6 m 300 N
Determine the compressive force exerted on the stone by a vertical load of 50 N applied to the toggle press. 400 mm- 50 N BY 90 mm 400 mm-
The two ends of the spanner wrench fit loosely into the smooth slots of the bolt head. Determine the required force P on the handle in order to develop a torque of M = 50 N · m on the bolt. Also, what is the resultant force on the pin at B? PA 250 mm- B. M -70 mm- 30 mm
Determine the horizontal and vertical components of force which pin C exerts on member ABC. The 600-N force is applied to the pin. 3 m 1.5 m Į -2m- E A F D B -2 m 300 N C 600 N
Determine the force in the hydraulic cylinders EF and AD in order to hold the shovel in the position shown. The load has a mass of 125 Mg and a center of gravity at G. All joints are pin connected. 0.25 m ORA 0.25 m E 1.5 m F D 10° 60° 30° H| 0.5 m 2m
The pillar crane is subjected to the crate having a mass of 500 kg. Determine the force in the tie rod AB and the horizontal and vertical reactions at the pin support C when the boom is held in the position shown. ema A 20°. C -2.4 m- 10° B 1.8 m
The clamp is used to hold the smooth strut S in place. If the tensile force in the bolt GH is 300 N, determine the force exerted at the smooth surface at A and B. H G S B E A 20 mm- 60° - 250 mm 45° 20 mm D 50 mm 250 mm
The gin-pole derrick is used to lift the 300-kg stone with constant velocity. If the derrick and the block and 0tackle are in the position shown, determine the horizontal and vertical components of force at the pin support A and the orientation θ and tension in the guy cable BC.
Determine the force that must be developed in the hydraulic cylinder AB in order to develop a normal force of 4 MN in the grip. Also, determine the magnitude of the force developed in the pin at C. 4 MN 0.6 m 4 MN 1.2 m C 0.1 m B 0.75 m 1.5 m 0.2 m
Five coins are stacked in the smooth plastic container shown. If each coin weighs 0.0235 lb, determine the normal reactions of the bottom coin on the container at points A and B. + U 3 A Brunc B 3 3
Determine the reactions at pins A and B of the frame needed to support the 200-lb load. The pulley at C has a radius of 0.5 ft. The pulley at D has a radius of 0.25 ft. 4 ft 60% 30° 30° 3 ft B
If d = 0.75 and the spring has an upstretched length of 1 ft, determine the force F required for equilibrium. F A 1 ft 1 ft d B D 1 ft k= 150 lb/ft 1 ft C F
The double link grip is used to lift the beam. If the beam weighs 4 kN, determine the horizontal and vertical components of force acting on the pin at A and the horizontal and vertical components of force that the flange of the beam exerts on the grip at B. Assume B and F are pins. 160 mm E D 4
The foot pump is used to fill the tire. If the force required to develop the necessary pressure in the cylinder is 70 lb, determine the vertical force P that must be applied to the pedal. The assembly is pin connected at A, B, and C. 9 in. 9 in. 18 in. -30° 30° -24 in.- 30° -70 lb
The spring has an unstretched length of 0.3 m. Determine the angle θ for equilibrium if the uniform bars each have a mass of 20 kg. A k = 150 N/m 2m B
The clamp has a rated load capacity of 1500 lb. Determine the compressive force this creates along segment AB of the screw and the magnitude of force exerted at pin C. The screw is pin connected at its end B and passes through the pin-connected (swivel) block at A. -3 in. 1500 lb -4 in. - -3
The spring has an unstretched length of 0.3 m. Determine the mass m of each uniform bar if θ = 30° for equilibrium. wwwwwww A C k = 150 N/m 2 m 0 OB
Determine the magnitude and orientation of θ of force F and its placement d on the beam so the loading system is equivalent to a resultant force of 15 kN acting vertically downward at point O and a clockwise couple moment of 60 kN · m. 2m 5 kN F 10 KN 5 3 m 3 4 -X 2 kN m .
Replace the forces acting on the gear by an equivalent resultant force and couple moment acting at point O. 2.25 kN 175 mm 41 60° 3 kN 20⁰° 175 mm w X
Replace the force and couple moment system acting on the beam by an equivalent resultant force and couple moment at point O. 0.2 m -1.5m 30° 500 N -2m 15 -1.5 m- 200 N 200 N-m X
Replace the force system acting on the beam by an equivalent resultant force and couple moment at point A. A B 30 in. 30° 250 lb 12 in. to 16 in. 3 in. -10 in.- 14 in. 45° 260 lb 13 12 5 300 lb
If F = 80N, determine the magnitude and coordinate direction angles of the couple moment. The pipe assembly lies in the x–y plane. x Z -F 200 mm 300 mm 200 mm 300 mm AF 300 mm -y
Determine the magnitude and orientation of θ of force F and its placement d on the beam so the loading system is equivalent to a resultant force of 20 kN acting vertically downward at point O and a clockwise couple moment of 80 kN · m. y 2 m 5 kN F 0 10 kN 3 m 3 4 X 2 kN m .
Replace the force system by an equivalent resultant force and couple moment at point O. Set F = 20 lb. y +2 in. 6 in. 20 lb 40° 30° 1.5 in. X 4 3 F
Replace the force system by an equivalent resultant force and couple moment at point O. Set F = 15 lb. -2 in.- 6 in. 20 lb 40° 30° 1.5 in. X دیا
Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point A. B -3 ft 80 lb. +3 -3 ft- 75 lb 60 lb +³ 3 ft -3 ft- 2 ft 1 40 lb A 4 ft
Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point B. 80 lb +₁ -3 ft- B -3 ft- 75 lb 60 lb +³ -3 ft- -3 ft- 2 ft + 40 lb A 4 ft
Replace the force system acting on the truss by a resultant force and couple moment at point C. 6 ft 200 lb PC 150 lb -2 ft-2 ft2 ft- A O 100 lb -2 ft- B 5 500 lb
Replace the force system acting on the pipe assembly by a resultant force and couple moment at point O. Express the results in Cartesian vector form. X 2 ft N F₁ = {-20i-10j + 25k}lb O F₂ = {-10i + 25j + 20k} lb 2 ft 2 ft 1.5 ft
The crate is on the ground and is to be hoisted using the three slings shown. Replace the system of forces acting on the slings by an equivalent resultant force and couple moment at point O. The force F1 is vertical. X F₁ = 600 N' 0.25 m F₂ = 500 N 0.25 m 45° 30 N F3 = 400 N 45% O 60 60%
The weights of the various components of the truck are shown. Replace this system of forces by an equivalent resultant force and specify its location measured from B. B 3 ft 3500 lb 8 5500 lb A -14 ft- 16A- 2 ft 1750 lb
Replace the force and couple-moment system by an equivalent resultant force and specify its coordinate point of application (x, 0) on the x axis. F₁ = 20 lb 3 ft 4 ft -5 ft F₂ = 10 lb y M₂ = 100 lb-ft O -3 ft- F3 = 50 lb 3 11 ft M₁ = 170 lb-ft X
Replace the loading acting on the beam by a single resultant force. Specify where the force acts, measured from end A. 60% m 450 N -4 m. 300 N B -3 m- 700 N 30° 1500 N·m
The system of four forces acts on the roof truss. Determine the equivalent resultant force and specify its location along AB, measured from point A. 150 lb 4 ft A 275 lb 4 ft 300 lb 4 ft 30° 200 lb -30° B
Replace the force and couple-moment system by an equivalent resultant force and specify its coordinate point of application (0, y) on the y axis. F₁ = 20 lb 3 ft 4 ft F₂ = 10 lb 5 ft M₂ = 100 lb-ft +A+²= 4 1 ft -3 ft- 0 F3 = 50 lb M₁ = 170 lb-ft X
Replace the loading acting on the beam by a single resultant force. Specify where the force acts, measured from B. 60° 450 N |--2m--- -4 m- 300 N B -3m- 700 N 30° 1500 N·m
Replace the loading system acting on the post by an equivalent resultant force and couple moment at point O. 60 lb 3 4 P O 30 lb 1 ft 3 ft 2 ft 40 lb ·X
Replace the loading system acting on the post by an equivalent resultant force and couple moment at point P. 60 lb 3 4 P O 30 lb 1 ft 3 ft 2 ft 40 lb ·X
Determine the magnitude of the equivalent resultant force of the distributed loading and specify its location on the beam measured from point A. -4.5 ft- 2 kip/ft -6 ft- 1.5 kip/ft
Replace the force system acting on the frame by an equivalent resultant force, and specify where the resultant’s line of action intersects member BC, measured from point B. 40 lb B 2 ft 20 lb 5 ft A 5 ft ·X 50 lb -2 ft 3
Three parallel bolting forces act on the circular plate. Determine the resultant force, and specify its location (x, z) on the plate. FA = 200 lb, FB = 100 lb, and FC = 400 lb. Х 1.5 ft 30°
Determine the resultant moment of both the 100-lb force and the triangular distributed load about point O. y 12 ft- 20 lb/ft 100 lb 60° 1 ft X
Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a horizontal line along member AB, measured from A. A 3 kN/m 3m 4 m LB 2 kN/m
Replace the loading on the beam by an equivalent resultant force and specify its location, measured from point A. + \FR = ΣF ; (+MRA = ΣΜΑ; Fn = 3 + 1.5 + 1.5 = 6 kN | – 6(d) 3 (1) + 1.5 (1.5) + 1.5 (4) d = 1.875 = 1.88 m
Replace the loading by an equivalent resultant force and specify its location on the beam, measured from A. W 2 kN/m -4 m- B -2m- 5 kN/m X
Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a vertical line along member BC, measured from C. A 3 kN/m 3 m 4 m B 2 kN/m
Wet concrete exerts a pressure distribution along the wall of the form. Determine resultant force of this distribution and specify the height h where the bracing strut should be placed so that it lies through the line of action of the resultant force. The wall has a width of 5 m. 4 m P -p=
Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. W 100 lb/ft 370 lb/ft w = (x² + 3x + 100) lb/ft 15 ft- B -X
If the distribution of the ground reaction on the pipe per foot of length can be approximated as shown, determine the magnitude of the resultant force due to this loading. 0 2.5 ft, 50 lb/ft 25 lb/ft w 25 (1 + cos 0) lb/ft
Determine the magnitude of the equivalent resultant force of the distributed load and specify its location on the beam measured from point A. W 420 lb/ft w = (5 (x-8)² +100) lb/ft 100 lb/ft. 8 ft- 120 lb/ft 2 ft X
Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is clockwise. 4 kN/m 2.5 kN/m III 1111 - 9m A
Using a ring collar the 75-N force can act in the vertical plane at various angles θ. Determine the magnitude of the moment it produces about point A, plt the result of M (ordinate) versus θ (abscissa) for 0° < θ < 180°, and specify the angles that give the maximum and specify the angles
The board is used to hold the end of the cross lug wrench in the position shown. If a torque of 30 N · m about the x-axis is required to tighten the nut, determine the required magnitude of the force F needed to turn the wrench. Force F lies in a vertical plane. x 250 mm of 60% 250 mm
Determine the moment produced by force F about the diagonal AF of the rectangular block. Express the result as a Cartesian vector. X C 3 m Z A 0 D F F = {-6i+ 3j + 10k} N B 1.5 m G 3 m
Determine the moment of force F about an axis extending between O and A. Express the result as a Cartesian vector. X 0.6 m N 0.8 m F = {80i-40j - 120k} N 0.3 m -y
The curved pipe has a radius of 5 ft. If a force of 80 lb acts at its end as shown, determine the moment of this force about point C. Solve the problem by using two different position vectors. X 75°- -C N 2 ft B 5 ft 6 ft F = 80 lb A y
The force of F = 80 lb acts along the edge DB of the tetrahedron. Determine the magnitude of the moment of this force about the edge CA. X 8 ft 5 ft 10 ft X611 6 ft 4 ft Z D 15 ft F B y
If the moment of the force F about the edge CA of the tetrahedron has a magnitude of M = 200 lb · ft and is directed from C toward A, determine the magnitude of F. 8 ft 10 ft Sft a fon 6 ft N 4 ft A 15 ft F B
The board is used to hold the end of the cross lug wrench in the position shown when the man applies a force of F = 100 N. Determine the magnitude of the moment produced by this force about the x-axis. Force F lies in a vertical plane. 250 mm 60% -250 mm
The bevel gear is subjected to the force F which is caused from contact with another gear. Determine the moment of this force about the y axis of the gear shaft. F = {20i + 8j - 15k} N 30 mm 40 mm X
Determine the magnitude of the moment of the force F = {50i - 20j - 80k} N about the base line AB of the tripod. X 1.5 m 2 m 2m 0.5 m B D N 1 m 4 m A. 2.5 m y
Determine the magnitude of the moment of the force F = {50i - 20j - 80k} N about the baseline BC of the tripod. X 1.5 m 2 m 2m C 0.5 m B D F N 1 m 4 m A 2.5 m y
The man tries to open the valve by applying the couple of forces of F = 75 N to the wheel. Determine the couple of moment produced. F -150 mm-150 mm- F

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