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engineering
mechanical engineering

Questions and Answers of Mechanical Engineering

Draw the shear and bending-moment diagrams for the beam AB, and determine the maximum absolute values of the shear and bending moment.
Neglecting the size of the pulley at G,(a) Draw the shear and bending-moment diagrams for the beam AB,(b) Determine the maximum absolute values of the shear and bending moment.
For the beam of Prob. 7.44, determine(a) The distance a for which the maximum absolute value of the bending moment in the beam is as small as possible,(b) The corresponding value e of M max.
For the assembly of Prob. 7.47, determine(a) The distance a for which the maximum absolute value of the bending moment in beam AB is as small as possible,(b) The corresponding value e of M max.
For the beam shown, determine(a) The magnitude P for which the maximum value of the bending moment is as small as possible,(b) The corresponding value of M max.
For the beam and loading shown, determine(a) The distance a for which the maximum absolute value of the bending moment in the beam is as small as possible,(b) The corresponding value of M max.
Knowing g that P=Q= 500 lb, determine(a) The distance a for which the maximum absolute value of the bending moment in beam AB is as small as possible,(b) The corresponding value of Mmax.
Solve Prob. 7.55 assuming that at P = 250 lb and Q = 500 lb. Problem 7.55: Knowing that P=Q= 500 lb, determine(a) The distance a for which the maximum absolute value of the bending moment in beam AB
In order to reduce the bending moment in the cantilever beam AB, a cable and counterweight are permanently attached at end B. Determine the magnitude of the counterweight for which the maximum
Using the method of Sec. 7.6, solve Prob. 7.29. Problem 7.29: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.30. Problem 7.30: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.31.Problem 7.31: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Problem 7.61 using the method of Sec. 7.6 solve Prob. 7.32. Problem 7.32: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of
Using the method of Sec. 7.6, solve Prob. 7.34. Problem 7.34: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.35. Problem 7.35: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.40.Problem 7.40: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and bending moment.
Using the method of Sec. 7.6, solve Prob. 7.37.Problem 7.37: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.38. Problem 7.38: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.39.Problem 7.39: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
Using the method of Sec. 7.6, solve Prob. 7.40. Problem 7.40: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and bending moment.
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the maximum absolute values of the shear and bending moment.
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude of the maximum bending moment.
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude of the maximum bending moment.
For the beam shown, draw the shear and bending-moment diagrams, and determine the maximum absolute value of the bending moment knowing that(a) P = 7 kips,(b) P = 10 kips.
For the beam shown, draw the shear and bending-moment diagrams, and determine the location and magnitude of the maximum absolute value of the bending moment.
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude of the maximum absolute value of the bending moment.
Solve Prob. 7.76 assuming that the 24-kN m ⋅ couple applied at D is counterclockwise. Problem 7.76: For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the
For beam AB,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude location of the maximum absolute value of the bending moment.
Solve Prob. 7.78 assuming that the 2-kip force applied at E is directed upward. Problem 7.78: For beam AB,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude of
For the beam and loading shown,(a) Derive the equations of the shear and bending-moment curves,(b) Draw the shear and bending-moment diagrams,(c) Determine the location and magnitude of the maximum
For the beam and loading shown,(a) Derive the equations of the shear and bending-moment curves,(b) Draw the shear and bending-moment diagrams,(c) Determine the location and magnitude of the maximum
For the beam shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the location and magnitude of the maximum bending moment.
The distributed load on a deck caused by drifted snow can be approximated by the cubic load curve shown. Derive the equations of the shear and bending-moment curves, and determine the maximum bending
The beam AB supports the uniformly distributed load of 1000 N/m and two unknown forces P and Q. Knowing that it has been experimentally determined that the bending moment is − 395 N ∙ m
Solve Prob. 7.84 assuming that the uniformly distributed load of 1000 N/m extends over the entire beam AB. Problem 7.84: The beam AB supports the uniformly distributed load of 1000 N/m and two
The beam AB is subjected to the uniformly distributed load shown and to two unknown forces P and Q. Knowing that it has been experimentally determined that the bending moment is + 2.7 kN ∙ m at
Solve Prob. 7.86 when a = 1.35 m. Problem 7.86: The beam AB is subjected to the uniformly distributed load shown and to two unknown forces P and Q. Knowing that it has been experimentally determined
Two loads are suspended as shown from cable ABCD. Knowing that dC = 0.75 m, determine(a) The distance dB,(b) The components of the reaction at A,(c) The maximum tension in the cable.
Two loads are suspended as shown from cable ABCDE. Knowing that the maximum tension in the cable is 3.6 kN, determine(a) The distance dB,(b) The distance dC.
Three loads are suspended as shown from cable ABCDE. Knowing that 12 dC = ft, determine(a) The components of the reaction at E,(b) The maximum tension in the cable.
Three loads are suspended from cable ABCDE. Determine distance dC knowing that the maximum tension in the cable is 5 kips.
Cable ABCDE supports three loads as shown. Knowing that dC = 1.8 m, determine(a) The reaction at E,(b) The distances dB and dD.
Cable ABCDE supports three loads as shown. Determine(a) The distance dC for which portion CD of the cable is horizontal,(b) The corresponding reactions at the supports.
An oil pipeline is supported at 6-ft intervals by vertical hangers attached to the cable shown. Due to the combined weight of the pipe and its contents, the tension in each hanger is 400 lb. Knowing
Solve Prob. 7.94 assuming that dC = 9 ft. Problem 7.94: An oil pipeline is supported at 6-ft intervals by vertical hangers attached to the cable shown. Due to the combined weight of the pipe and its
Cable ABC supports two boxes as shown. Knowing that b = 9 ft, determine(a) The required magnitude of the horizontal force P,(b) The corresponding distance a.
Cable ABC supports two boxes as shown. Determine the distances a and b when a horizontal force P of magnitude 25 lb is applied at C.
A force P applied at B and a block attached at C maintain cable ABCD in the position shown. Knowing that the force P has a magnitude of 1.32kN, determine(a) The reaction at A,(b) The required mass m
A force P applied at B and a block attached at C maintain cable ABCD in the position shown. Knowing that the mass m of the block is 150 kg, determine(a) The reaction at D,(b) The required force P,(c)
Two traffic signals are temporarily suspended from cable ABCDE. Knowing that the mass of the signal at D is 34 kg, determine(a) The mass of the signal at C,(b) The tension in cable BF required to
Two traffic signals are temporarily suspended from cable ABCDE. Knowing that the mass of the signal at C is 55 kg, determine(a) The mass of the signal at D,(b) The tension in cable BF required to
An electric wire having a mass per unit length of 0.6 kg/m is strung between two insulators at the same elevation that are 60 m apart. Knowing that the sag of the wire is 1.5 m, determine(a) The
Two cables of the same diameter are attached to a transmission tower at B. Since the tower is slender, the horizontal component of the resultant of the forces exerted by the cables at B is to be
Each cable of the Golden Gate Bridge supports a load w =11.1 kips/ft along the horizontal. Knowing that the span L is 4150 ft and that the sag h is 464 ft, determine(a) The maximum tension in each
As originally constructed, the center span of the George Washington Bridge consisted of a uniform roadway suspended from four cables. The uniform load supported by each cable was w = 9.75 kips/ft
To mark the positions of the rails on the posts of a fence, a home-owner ties a cord to the post at A, passes the cord over a short piece of pipe attached to the post at B, and ties the free end of
A small ship is tied to a pier with a 5-m length of rope as shown. Knowing that the current exerts on the hull of the ship a 300-N force directed from the bow to the stern and that the mass per unit
The center span of the Verrazano-Narrows Bridge consists of two uniform roadways suspended from four cables. The design of the bridge allowed for the effect of extreme temperature changes which cause
The total mass of cable ACB is 10 kg. Assuming that the mass of the cable is distributed uniformly along the horizontal, determine(a) The sag h,(b) The slope of the cable at A.
Each cable of the side spans of the Golden Gate Bridge supports a load w =10.2 kips/ft along the horizontal. Knowing that for the side spans the maximum vertical distance h from each cable to the
Before being fed into a printing press located to the right of D, a continuous sheet of paper having a weight per unit length of 0.18 lb/ft passes over rollers at A and B. Assuming that the curve
Chain AB supports a horizontal, uniform steel beam having a mass per unit length of 85 kg/m. If the maximum tension in the chain is not to exceed 8 kN, determine(a) the horizontal distance a from A
Chain AB of length 6.4 m supports a horizontal, uniform steel beam having a mass per unit length of 85 kg/m. Determine(a) The horizontal distance a from A to the lowest point C of the chain,(b) The
An aerial tramway cable of length 500 ft and weighing 2.8 lb/ft is suspended between two points at the same elevation. Knowing that the sag is 125 ft, find (a) The horizontal distance between the
Making use of the property established in Prob. 7.114, solve the problem indicated by first solving the corresponding beam problem. Problem 7.89a: Two loads are suspended as shown from cable ABCD.
Making use of the property established in Prob. 7.114, solve the problem indicated by first solving the corresponding beam problem. Problem 7.92b: Cable ABCDE supports three loads as shown. Knowing
Making use of the property established in Prob. 7.114, solve the problem indicated by first solving the corresponding beam problem. Problem 7.94b: An oil pipeline is supported at 6-ft intervals by
Making use of the property established in Prob. 7.114, solve the problem indicated by first solving the corresponding beam problem. Problem 7.95: Solve Prob. 7.94b assuming that dC = 9 ft. Problem
Show that the curve assumed by a cable that carries a distributed load w(x) is defined by the differential equation d2y/dx2 = w(x)/T0, where T0 is the tension at the lowest point.
Using the property established in Prob. 7.119, determine the curve assumed by a cable of span L and sag h carrying a distributed load w = w0 cos (πx/L), where x is measured from midspan. Also
If the weight per unit length of the cable AB is w0/cos2 Î¸, prove that the curve formed by the cable is a circular arc.
Two hikers are standing 10 m apart and are holding the ends of a 12-m length of rope as shown. Knowing that the mass per unit length of the rope is 0.07 kg/m, determine(a) The sag h,(b) The magnitude
A 60-ft chain weighing 120 lb is suspended between two points at the same elevation. Knowing that the sag is 24 ft, determine(a) The distance between the supports,(b) The maximum tension in the chain.
An aerial tramway cable of length 500 ft and weighing 2.8 lb/ft is suspended between two points at the same elevation. Knowing that the sag is 125 ft, find(a) The horizontal distance between the
An electric transmission cable of length 130 m and mass per unit length of 3.4 kg/m is suspended between two points at the same elevation. Knowing that the sag is 30 m, determine the horizontal
A 30-m length of wire having a mass per unit length of 0.3 kg/m is attached to a fixed support at A and to a collar at B. Neglecting the effect of friction, determine(a) The force P for which h = 12
A 30-m length of wire having a mass per unit length of 0.3 kg/m is attached to a fixed support at A and to a collar at B. Knowing that the magnitude of the horizontal force applied to the collar is P
An access road is closed by hanging a chain of length 3.8 m across the road. Knowing that the mass per unit length of the chain is 3.72 kg/m, determine(a) The sag h,(b) The magnitude of the
A 90-m length of wire is suspended from two points at the same elevation that are 60 m apart. Knowing that the maximum tension in the wire is 300 N, determine (a) The sag h, (b) The total mass of the
Determine the sag of a 45-ft chain which is attached to two points at the same elevation that are 20 ft apart.
A 10-ft length of rope is attached to two supports A and B as shown. Determine (a) The span of the rope for which the span is equal to the sag, (b) The corresponding angle θB.
A cable having a mass per unit length of 3 kg/m is suspended between two points at the same elevation that are 48 m apart. Determine the smallest allowable sag of the cable if the maximum tension is
A 24-ft length of chain having a weight per unit length of 2.73 lb/ft is attached to a beam at A and passes over a small pulley at B as shown. Neglecting the effect of friction, determine the values
The 10-ft-long cable AB weighs 20 lb and is attached to collars at A and B that can slide freely on the rods shown. Neglecting the weight of the collars, determine(a) The magnitude of the horizontal
A counterweight D of mass 40 kg is attached to a cable that passes over a small pulley at A and that is attached to a support at B. Knowing that L = 15 m and h = 5 m, determine(a) The length of the
To the left of point B, the long cable ABDE rests on the rough horizontal surface shown. Knowing that the weight per unit length of the cable is 1.5 lb/ft, determine the force F when a = 10.8 ft.
To the left of point B, the long cable ABDE rests on the rough horizontal surface shown. Knowing that the weight per unit length of the cable is 1.5 lb/ft, determine the force F when a = 18 ft.
A uniform cable having a mass per unit length of 4 kg/m is held in the position shown by a horizontal force P applied at B. Knowing that P = 800 N and θA = 60°, determine(a) The location of
A uniform cable having a mass per unit length of 4 kg/m is held in the position shown by a horizontal force P applied at B. Knowing that P = 600 N and θA = 60°, determine(a) The location of
An electric cable is hung between a utility pole and a house. Knowing that the mass per unit length of the cable is 2.1 kg/m, determine(a) The distance from the house to the lowest point C of the
The cable ACB weighs 0.3 lb/ft. Knowing that the lowest point of the cable is located at a distance a = 6 ft below the support A, determine(a) The location of the lowest point C,(b) The maximum
Denoting by θ the angle formed by a uniform cable and the horizontal, show that at any point t (a) s = c tan θ , (b) y = c sec θ.
(a) Determine the maximum allowable horizontal span for a uniform cable of mass per unit length m′ if the tension in the cable is not to exceed a given value e Tm. (b) Using the result of part
A cable has a weight per unit length of 2 lb/ft and is supported as shown. Knowing that the span L is 18 ft, determine the two values of the sag h for which the maximum tension is 80 lb.
Determine the sag-to-span ratio for which the maximum tension in cable AB is equal to the total weight of the cable.
A cable of weight per unit length w is suspended between two points at the same elevation that are a distance L apart. Determine(a) The sag-to-span ratio for which the maximum tension Tmax in the
A semicircular rod is loaded as shown. Determine the internal forces at point J knowing that θ = 30°.
Knowing that the radius of each pulley is 7.2 in. and neglecting friction, determine the internal forces at point J of the frame shown.

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