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engineering
civil engineering

Engineering Mechanics Statics 11 Edition Russell C. Hibbeler - Solutions

Determine the force in each member of the truss and state if the members are in tension or compression.Given:P1 = 400 lbP2 = 400 lbP3 = 0 lba = 10 ftb = 10 ftθ = 30 deg
Determine the force in each member of the truss in terms of the load P and state if the members are in tension or compression.
The maximum allowable tensile force in the members of the truss is Tmax and the maximum allowable compressive force is Cmax. Determine the maximum magnitude of the load P that can be applied to the truss.Units Used:kN = 103 NGiven:Tmax = 5kNCmax = 3kNd = 2 m
Determine the force in each member of the truss and state if the members are in tension or compression. The horizontal force component at A must be zero. Why?Units Used:kip = 103 lbGiven:F1 = 600 lbF2 = 800 lba = 4 ftb = 3 ftθ = 60 deg
Determine the force in each member of the truss and state if the members are in tension or compression. Hint: The resultant force at the pin E acts along member ED. Why?Units Used:kN = 103 NGiven:F1 = 3 kNF2 = 2 kNa = 3 mb = 4 m
Each member of the truss is uniform and has a mass density ρ. Determine the approximate force in each member due to the weight of the truss. State if the members are in tension or compression. Solve the problem by assuming the weight of each member can be represented as a vertical force, half of
Determine the force in each member of the truss in terms of the external loading and state if the members are in tension or compression.
The Fink truss supports the loads shown. Determine the force in each member and state if the members are in tension or compression. Approximate each joint as a pin.Units Used:kip = 103 lbGiven:F1 = 500 lb a = 2.5 ftF2 = 1 kip θ = 30 degF3 = 1 kip
Determine the force in each member of the double scissors truss in terms of the load P and state if the members are in tension or compression.
Determine the force in each member of the truss and state if the members are in tension or compression. Hint: The vertical component of force at C must equal zero. Why?Units Used:kN = 103 NGiven:F1 = 6kNF2 = 8kNa = 1.5 mb = 2 mc = 2 m
Each member of the truss is uniform and has a mass density ρ. Remove the external loads F1 and F2 and determine the approximate force in each member due to the weight of the truss. State if the members are in tension or compression. Solve the problem by assuming the weight of each member can be
Determine the force in each member of the truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:P1 = 4kNP2 = 0kNa = 2 mθ = 15 deg
Determine the force in each member of the truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:P1 = 2kNP2 = 4kNa = 2 mθ = 15 deg
Determine the force in each member of the truss and state if the members are in tension or compression. Units Used: kip = 103 lb Given: F1 = 2 kip F2 = 1.5 kip F3 = 3 kip F4 = 3 kip a = 4 ft b = 10 ft
The Howe bridge truss is subjected to the loading shown. Determine the force in members DE, EH, and HG and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 30kNF2 = 20kNF3 = 20kNF4 = 40kNa = 4 mb = 4 m
The Pratt bridge truss is subjected to the loading shown. Determine the force in members LD, LK, CD, and KD, and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 50kNF2 = 50kNF3 = 50kNa = 4 mb = 3 m
The Pratt bridge truss is subjected to the loading shown. Determine the force in members JI, JE, and DE, and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 50kNF2 = 50kNF3 = 50kNa = 4 mb = 3 m
The roof truss supports the vertical loading shown. Determine the force in members BC, CK, and KJ and state if these members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 4kNF2 = 8kNa = 2 mb = 3 m
Determine the force in members CD, CJ, KJ, and DJ of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.Units Used:kip = 103 lbGiven:F1 = 4000 lbF2 = 8000 lbF3 = 5000 lba = 9 ftb = 12 ft
Determine the force in members EI and JI of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.Units Used:kip = 103 lbGiven:F1 = 4000 lbF2 = 8000 lbF3 = 5000 lba = 9 ftb = 12 ft
Determine the force in members BE, EF, and CB, and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 5kN F4 = 10kNF2 = 10kN a = 4 mF3 = 5kN b = 4 m
Determine the force in members BF, BG, and AB, and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 5kN F4 = 10kNF2 = 10kN a = 4 mF3 = 5kN b = 4 m
Determine the force developed in members GB and GF of the bridge truss and state if these members are in tension or compression.Given:F1 = 600 lbF2 = 800 lba = 10 ftb = 10 ftc = 4 ft
Determine the force members BC, FC, and FE, and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 6kNa = 3 mb = 3 m
Determine the force in members IC and CG of the truss and state if these members are in tension or compression. Also, indicate all zero-force members.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 6kNa = 1.5 mb = 2 m
Determine the force in members JE and GF of the truss and state if these members are in tension or compression. Also, indicate all zero-force members.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 6kNa = 1.5 mb = 2 m
Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if these members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 2kN F4 = 5kN a = 5 mF2 = 4kN F5 = 3kN b = 2 mF3 = 4kN c = 3 m
Determine the force in members CD, CF, and CG and state if these members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 2kN F4 = 5kN a = 5 mF2 = 4kN F5 = 3kN b = 2 mF3 = 4kN c = 3 m
Determine the force in members OE, LE, and LK of the Baltimore truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 2kN a = 2 mF2 = 2kN b = 2 mF3 = 5kNF4 = 3kN
Determine the force in member GJ of the truss and state if this member is in tension or compression.Units Used:kip = 103 lbGiven:F1 = 1000 lbF2 = 1000 lbF3 = 1000 lbF4 = 1000 lba = 10 ftθ = 30 deg
Determine the force in member GC of the truss and state if this member is in tension or compression.Units Used:kip = 103 lbGiven:F1 = 1000 lbF2 = 1000 lbF3 = 1000 lbF4 = 1000 lba = 10 ftθ = 30 deg
Determine the force in members KJ, JN, and CD, and state if the members are in tension or compression. Also indicate all zero-force members.Units Used:kip = 103 lbGiven:F = 3 kipa = 20 ftb = 30 ftc = 20 ft
Determine the force in members BG, HG, and BC of the truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 7kNF3 = 4kNa = 3 mb = 3 mc = 4.5 m
The skewed truss carries the load shown. Determine the force in members CB, BE, and EF and state if these members are in tension or compression. Assume that all joints are pinned.
The skewed truss carries the load shown. Determine the force in members AB, BF, and EF and state if these members are in tension or compression. Assume that all joints are pinned.
Determine the force developed in members BC and CH of the roof truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 1.5kNF2 = 2kNa = 1.5 mb = 1 mc = 2 md = 0.8 m
Determine the force in members CD and GF of the truss and state if the members are in tension or compression. Also indicate all zero-force members.Units Used:kN = 103 NGiven:F1 = 1.5kNF2 = 2kNa = 1.5 mb = 1 mc = 2 md = 0.8 m
Determine the force in members DE, DL, and ML of the roof truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 12kNF3 = 12kNF4 = 12kNa = 4 mb = 3 mc = 6 m
Determine the force in members EF and EL of the roof truss and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 6kNF2 = 12kNF3 = 12kNF4 = 12kNa = 4 mb = 3 mc = 6 m
Two space trusses are used to equally support the uniform sign of mass M. Determine the force developed in members AB, AC, and BC of truss ABCD and state if the members are in tension or compression. Horizontal short links support the truss at joints B and D and there is a ball-and-socket joint at
Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at B, C, and D.Given:F = 600 Na = 3 mb = 1 mc = 1.5 m
Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, and C.Given:a = 4 ftb = 2 ftc = 3 ftd = 2 fte = 8 ftF = (0 500 0) lb
The space truss is supported by a ball-and-socket joint at D and short links at C and E. Determine the force in each member and state if the members are in tension or compression.Given:F1 = (0 0 -500)lbF2 = (0 400 0)lba = 4 ftb = 3 ftc = 3 ft
The space truss is supported by a ball-and-socket joint at D and short links at C and E. Determine the force in each member and state if the members are in tension or compression.Given:F1 = (200 300 -500) lbF2 = (0 400 0) lba = 4 ftb = 3 ftc = 3 ft
Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by a ball-and-socket joints at A, B, and E. Hint: The support reaction at E acts along member EC. Why?Given:F = (-200 400 0)a = 2mb = 1.5 mc = 5 md = 1 me = 2 m
Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and-socket joints at C, D, E, and G.Units Used:kN = 103 NGiven:F = 3kNa = 2 mb = 1.5 mc = 2 md = 1 me = 1 m
Determine the force in members BD, AD, and AF of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, D, and F.Given:F = (0 250 - 250) lba = 6 ftb = 6 ftθ = 60 deg
Determine the force in members CF, EF, and DF of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, D, and F. Given: F = (0 250 -250) lb a = 6 ft b = 6 ft θ = 60 deg
Determine the force developed in each member of the space truss and state if the members are in tension or compression. The crate has weight W.Given:W = 150 lba = 6 ftb = 6 ftc = 6 ft
The space truss is used to support vertical forces at joints B, C, and D. Determine the force in each member and state if the members are in tension or compression.Units Used:kN = 103 NGiven:F1 = 6kN a = 0.75 mF2 = 8kN b = 1.00 mF3 = 9kN c = 1.5 m
A force P is applied to the handles of the pliers. Determine the force developed on the smooth bolt B and the reaction that pin A exerts on its attached members.Given:P = 8 lba = 1.25 inb = 5 inc = 1.5 in
The eye hook has a positive locking latch when it supports the load because its two parts are pin-connected at A and they bear against one another along the smooth surface at B. Determine the resultant force at the pin and the normal force at B when the eye hook supports load F.Given:F = 800 lba =
Determine the force P needed to hold the block of mass F in equilibrium.Given:F = 20 lb
The link is used to hold the rod in place. Determine the required axial force on the screw at E if the largest force to be exerted on the rod at B, C or D is to be Fmax. Also, find the magnitude of the force reaction at pin A. Assume all surfaces of contact is smooth.Given:Fmax = 100 lba = 100 mmb
The man of weight W1 attempts to lift himself and the seat of weight W2 using the rope and pulley system shown. Determine the force at A needed to do so, and also find his reaction on the seat.Given:W1 = 150 lbW2 = 10 lb
Determine the horizontal and vertical components of force that pins A and C exert on the frame.Given:F = 500 Na = 0.8 m d = 0.4 mb = 0.9 m e = 1.2 mc = 0.5 m θ = 45deg
Determine the horizontal and vertical components of force that pins A and C exert on the frame.Units Used:kN = 103 NGiven:F1 = 1kNF2 = 500 Nθ = 45 dega = 0.2 mb = 0.2 mc = 0.4 md = 0.4 m
The truck exerts the three forces shown on the girders of the bridge. Determine the reactions at the supports when the truck is in the position shown. The girders are connected together by a short vertical link DC.Units Used:kip = 103 lbGiven:a = 55 ft f = 12 ftb = 10 ft F1 = 5 kipc = 48 ft F2 = 4
Determine the greatest force P that can be applied to the frame if the largest force resultant acting at A can have a magnitude Fmax.Units Used:kN = 103 NGiven:Fmax = 2 kNa = 0.75 mb = 0.75 mc = 0.5 md = 0.1 m
The compound beam is pin supported at B and supported by rockers at A and C. There is a hinge (pin) at D. Determine the reactions at the supports.Units Used:kN = 103 NGiven:F1 = 7 kN a = 4 mF2 = 6 kN b = 2 mF3 = 16 kN c = 3 mθ = 60 deg d = 4 m
The compound beam is fixed supported at A and supported by rockers at B and C. If there are hinges (pins) at D and E, determine the reactions at the supports A, B, and C.Units Used:kN = 103 NGiven:a = 2 m M = 48 kN ∙ mb = 4 m w1 = 8Kn/mc = 2md = 6m w2 = 6 kN/me = 3m
Determine the reactions at supports A and B.Units Used:kip = 103 lbGiven:w1 = 500lb/ftw2 = 700lb/fta = 6 ftb = 8 ftc = 9 ftd = 6 ft
Determine the horizontal and vertical components of force at C which member ABC exerts on member CEF.Given:F = 300 lba = 4 ftb = 6 ftc = 3 ftr = 1 ft
Determine the horizontal and vertical components of force that the pins at A, B, and C exert on their connecting members.Units Used:kN = 103 NGiven:F = 800 Na = 1 mr = 50 mmb = 0.2 m
Operation of exhaust and intake valves in an automobile engine consists of the cam C, push rod DE, rocker arm EFG which is pinned at F, and a spring and valve, V. If the spring is compressed a distance δ when the valve is open as shown, determine the normal force acting on the cam lobe at C.
Determine the force P on the cord, and the angle θ that the pulley-supporting link AB makes with the vertical. Neglect the mass of the pulleys and the link. The block has weight W and the cord is attached to the pin at B. The pulleys have radii of r1 and r2.Given:W = 200 lbr1 = 2 inr2 = 1 inφ =
The nail cutter consists of the handle and the two cutting blades. Assuming the blades are pin connected at B and the surface at D is smooth, determine the normal force on the fingernail when a force F is applied to the handles as shown. The pin AC slides through a smooth hole at A and is attached
The wall crane supports load F. Determine the horizontal and vertical components of reaction at the pins A and D. Also, what is the force in the cable at the winch W?Units Used: kip = 103 lbGiven:F = 700 lba = 4 ftb = 4 ftc = 4 ftθ = 60 deg
Determine the force that the smooth roller C exerts on beam AB. Also, what are the horizontal and vertical components of reaction at pin A? Neglect the weight of the frame and roller.Given:M = 60 lb⋅ fta = 3 ftb = 4 ftc = 0.5 ft
Determine the horizontal and vertical components of force which the pins exert on member ABC.Given:W = 80 lba = 6 ftb = 9 ftc = 3 ftr = 0.5 ft
The floor beams AB and BC are stiffened using the two tie rods CD and AD. Determine the force along each rod when the floor beams are subjected to a uniform load w. Assume the three contacting members at B are smooth and the joints at A, C, and D are pins.Units Used: kip = 103 lbGiven:w = 80lb/ftb
Determine the horizontal and vertical components of force at pins B and C.Given:F = 50 lb c = 6 fta = 4 ft d = 1.5 ftb = 4 ft r = 0.5 ft
The skid steer loader has a mass M1, and in the position shown the center of mass is at G1. If there is a stone of mass M2 in the bucket with center of mass at G2 determine the reactions of each pair of wheels A and B on the ground and the force in the hydraulic cylinder CD and at the pin E there
Determine the horizontal and vertical components of force at each pin. The suspended cylinder has a weight W.Given:W = 80 lb d = 6 fta = 3 ft e = 2 ftb = 4 ft r = 1 ftc = 4 ft
The two-member frame is pin connected at C, D, and E. The cable is attached to A, passes over the smooth peg at B, and is attached to a load W. Determine the horizontal and vertical reactions at each pin.Given:a = 2 ftb = 1 ftc = 0.75 ftW = 100 lb
Determine the horizontal and vertical components of force which the pins at A, B, and C exert on member ABC of the frame.Given:F1 = 400 NF2 = 300 NF3 = 300 Na = 1.5 mb = 2 mc = 1.5 md = 2.5 mf = 1.5 mg = 2 me = a + b + c − d
The derrick is pin-connected to the pivot at A. Determine the largest mass that can be supported by the derrick if the maximum force that can be sustained by the pin at A is Fmax.Units Used:kN = 103 Ng = 9.81m/s2Mg = 103 kgGiven:Fmax = 18kNL = 5 mθ = 60 deg
Determine the required mass of the suspended cylinder if the tension in the chain wrapped around the freely turning gear is T. Also, what is the magnitude of the resultant force on pin A?Units Used:kN = 103 Ng = 9.8m/s2Given:T = 2kNL = 2 ftθ = 30 degϕ = 45 deg
The tongs consist of two jaws pinned to links at A, B, C, and D. Determine the horizontal and vertical components of force exerted on the stone of weight W at F and G in order to lift it.Given:a = 1 ftb = 2 ftc = 1.5 ftd = 1 ftW = 500 lb
Determine the force P on the cable if the spring is compressed a distance δ when the mechanism is in the position shown. The spring has a stiffness k.Given:δ = 0.5 in c = 6 ink = 800lb/ft d = 6 ina = 24 in e = 4 inb = 6 in θ = 30 deg
The scale consists of five pin-connected members. Determine the load W on the pan EG if a weight F is suspended from the hook at A.Given:F = 3 lb b = 3 ina = 5 in c = 4 ind = 6 in f = 2 ine = 8 in
The machine shown is used for forming metal plates. It consists of two toggles ABC and DEF, which are operated by the hydraulic cylinder H. The toggles push the movable bar G forward, pressing the plate p into the cavity. If the force which the plate exerts on the head is P, determine the force F
Determine the horizontal and vertical components of force at pins A and C of the two-member frame.Given:w1 = 500N/mw2 = 400N/mw3 = 600N/ma = 3 mb = 3 m
The truck rests on the scale, which consists of a series of compound levers. If a mass M1 is placed on the pan P and it is required that the weight is located at a distance x to balance the "beam" ABC, determine the mass of the truck there are pins at all lettered points. Is it necessary for the
By squeezing on the hand brake of the bicycle, the rider subjects the brake cable to a tension T If the caliper mechanism is pin-connected to the bicycle frame at B, determine the normal force each brake pad exerts on the rim of the wheel. Is this the force that stops the wheel from turning?
If a force of magnitude P is applied perpendicular to the handle of the mechanism, determine the magnitude of force F for equilibrium. The members are pin-connected at A, B, C, and D.Given:P = 6 lba = 25 inb = 4 inc = 5 ind = 4 ine = 5 inf = 5 ing = 30 in
The pillar crane is subjected to the load having a mass M. Determine the force developed in the tie rod AB and the horizontal and vertical reactions at the pin support C when the boom is tied in the position shown.Units Used:kN = 103 NGiven:M = 500 kga = 1.8 mb = 2.4 mθ1 = 10 degθ2 = 20 degg =
The tower truss has a weight W and a center of gravity at G. The rope system is used to hoist it into the vertical position. If rope CB is attached to the top of the shear leg AC and a second rope CD is attached to the truss, determine the required tension in BC to hold the truss in the position
The constant moment M is applied to the crank shaft. Determine the compressive force P that is exerted on the piston for equilibrium as a function of θ. Plot the results of P (ordinate) versus θ (abscissa) for 0 deg ≤ θ ≤ 90 deg.Given:a = 0.2 mb = 0.45 mM = 50 N ∙ m
Five coins are stacked in the smooth plastic container shown. If each coin has weight W, determine the normal reactions of the bottom coin on the container at points A and B.Given:W = 0.0235 lba = 3b = 4
Determine the horizontal and vertical components of force at pin B and the normal force the pin at C exerts on the smooth slot. Also, determine the moment and horizontal and vertical reactions of force at A. There is a pulley at E.Given:F = 50 lba = 4 ftb = 3 ft
A force F is applied to the handles of the vise grip. Determine the compressive force developed on the smooth bolt shank A at the jaws.Given:F = 5 lb b = 1 ina = 1.5 in c = 3 ind = 0.75 in e = 1 inθ = 20 deg
If a force of magnitude P is applied to the grip of the clamp, determine the compressive force F that the wood block exerts on the clamp.Given:P = 10 lba = 2 inb = 2 inc = 0.5 ind = 0.75 ine = 1.5 in
The hoist supports the engine of mass M. Determine the force in member DB and in the hydraulic cylinder H of member FB. Units Used:kN = 103 NGiven:M = 125 kg a = 1 m b = 2 m c = 2 m d = 1 me = 1 m f = 2 mg = 9.81m/s2
The flat-bed trailer has weight W1 and center of gravity at GT. It is pin-connected to the cab at D. The cab has a weight W2 and center of gravity at GC. Determine the range of values x for the position of the load L of weight W3 so that no axle is subjected to a force greater than FMax. The load
Determine the force created in the hydraulic cylinders EF and AD in order to hold the shovel in equilibrium. The shovel load has a mass W and a center of gravity at G. All joints are pin connected.Units Used:Mg = 103 kgkN = 103 NGiven:a = 0.25 m θ1 = 30 degb = 0.25 m θ2 = 10 degc = 1.5 m θ3 = 60
The aircraft-hangar door opens and closes slowly by means of a motor which draws in the cable AB. If the door is made in two sections (bi-fold) and each section has a uniform weight W and length L, determine the force in the cable as a function of the door's position θ. The sections are
A man having weight W attempts to lift himself using one of the two methods shown, determine the total force he must exert on bar AB in each case and the normal reaction he exerts on the platform at C. Neglect the weight of the platform.Given:W = 175 lb
A man having weight W1 attempts to lift himself using one of the two methods shown. Determine the total force he must exert on bar AB in each case and the normal reaction he exerts on the platform at C. The platform has weight W2.Given:W1 = 175 lb W2 = 30 lb
The piston C moves vertically between the two smooth walls. If the spring has stiffness k and is unstretched when θ = 0, determine the couple M that must be applied to AB to hold the mechanism in equilibrium.Given:k = 15lb/inθ = 30 dega = 8 inb = 12 in

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