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engineering
mechanical engineering

Questions and Answers of Mechanical Engineering

A stadium roof truss is loaded as shown. Determine the force in members EJ, FJ, and EI.
For the frame and loading shown, determine the components of the forces acting on member DABC at B and at D.
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
For the frame and loading shown, determine the components of the forces acting on member CFE at C and at F.
A Mansard roof truss is loaded as shown. Determine the force in members DF, DG, and EG.
A Mansard 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 a circular arc. For the position when θ = 30°, determine(a) The force in rod CD,(b) The reaction at
A log weighing 800 lb is lifted by a pair of tongs as shown. Determine the forces exerted at E and at F on tong DEF.
Cable ABC supports two loads as shown. Determine the distances a and b when a horizontal force P of magnitude 60 lb is applied at A.
Determine the internal forces (axial force, shearing force, and bending moment) at point J of the structure indicated: Frame and loading of Prob. 6.77.
Determine the internal forces (axial force, shearing force, and bending moment) at point J of the structure indicated: Frame and loading of Prob. 6.76.
For the frame and loading of Prob. 6.80, determine the internal forces at a point J located halfway between points A and B.
For the frame and loading of Prob. 6.101, determine the internal forces at a point J located halfway between points A and B.
Determine the internal forces at point J of the structure shown.
Determine the internal forces at point K of the structure shown.
A semicircular rod is loaded as shown. Determine the internal forces at point J.
A semicircular rod is loaded as shown. Determine the internal forces at point K.
An archer aiming at a target is pulling with a 210-N force on the bowstring. Assuming that the shape of the bow can be approximated by a parabola, determine the internal forces at point J.
For the bow of Prob. 7.9, determine the magnitude and location of the maximum(a) Axial force,(b) Shearing force,(c) Bending moment.
A semicircular rod is loaded as shown. Determine the internal forces at point J knowing that θ = 30o.
A semicircular rod is loaded as shown. Determine the magnitude and location of the maximum bending moment in the rod.
Two members, each consisting of straight and 168-mm-radius quarter circle portions, are connected as shown and support a 480-N load at D. Determine the internal forces at point J.
Two members, each consisting of straight and 168-mm-radius quarter circle portions, are connected as shown and support a 480-N load at D. Determine the internal forces at point K.
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.
Knowing that the radius of each pulley is 7.2 in. and neglecting friction, determine the internal forces at point K of the frame shown.
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.
Knowing that the radius of each pulley is 7.2 in. and neglecting friction, determine the internal forces at point K of the frame shown.
A 140-mm-diameter pipe is supported every 3 m by a small frame consisting of two members as shown. Knowing that the combined mass per unit length of the pipe and its contents is 28 kg/m and
A 140-mm-diameter pipe is supported every 3 m by a small frame consisting of two members as shown. Knowing that the combined mass per unit length of the pipe and its contents is 28 kg/m and
A force P is applied to a bent rod which is supported by a roller and a pin and bracket. For each of the three cases shown, determine the internal forces at point J.
A force P is applied to a bent rod which is supported by a roller and a pin and bracket. For each of the three cases shown, determine the internal forces at point J.
A rod of weight W and uniform cross section is bent into the circular arc of radius r shown. Determine the bending moment at point J when θ = 30°.
A rod of weight W and uniform cross section is bent into the circular arc of radius r shown. Determine the bending moment at point J when θ = 120°.
A quarter-circular rod of weight W and uniform cross section is supported as shown. Determine the bending moment at point J when θ = 30o.
A quarter-circular rod of weight W and uniform cross section is supported as shown. Determine the bending moment at point J when θ = 30o.
For the rod of Prob.7.26, determine the magnitude and location of the maximum bending moment.
For the rod of Prob.7.25, determine the magnitude and location of the maximum 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 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 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 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 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 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 maximum absolute values of the shear and bending moment.
Assuming the upward reaction of the ground on beam AB to be uniformly distributed,(a) Draw the shear and bending moment diagrams,(b) Determine the maximum absolute values of the shear and bending
Assuming the upward reaction of the ground on beam AB to be uniformly distributed,(a) Draw the shear and bending moment diagrams,(b) Determine the maximum absolute values of the shear and bending
Assuming the upward reaction of the ground on beam AB to be uniformly distributed and knowing that a = 0.9 ft,(a) Draw the shear and bending moment diagrams,(b) Determine the maximum absolute values
Solve Prob. 7.43 assuming that a = 1.5 ft.
Two short angle sections CE and DF are bolted to the uniform beam AB of weight 3.33kN and the assembly is temporarily supported by the vertical cables EG and FH as shown. A second beam resting on
Solve Prob. 7.45 when a = 0.6 m.
Draw the shear and bending-moment diagrams for the beam AB, and determine the shear and bending moment(a) Just to the left of C,(b) Just to the right of C.
Draw the shear and bending-moment diagrams for the beam AB, and determine the maximum absolute values of the shear and bending moment.
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. 7.43, 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.
For the assembly of Prob. 7.45, 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 M max.
For the beam shown, determine(a) The magnitude P of the two upward forces 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 that P = Q = 375 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 M max.
Solve Prob. 7.55 assuming that P = 750 lb and Q = 375 lb.
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.
Using the method of Sec. 7.6, solve Prob. 7.30.
Using the method of Sec. 7.6, solve Prob. 7.31.
Using the method of Sec. 7.6, solve Prob. 7.32.
Using the method of Sec. 7.6, solve Prob. 7.33.
Using the method of Sec. 7.6, solve Prob. 7.36.
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.
Using the method of Sec. 7.6, solve Prob. 7.37.
Using the method of Sec. 7.6, solve Prob. 7.38.
Using the method of Sec. 7.6, solve Prob. 7.39.
Using the method of Sec. 7.6, solve Prob. 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 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 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 shown, draw the shear and bending-moment diagrams and determine the maximum absolute value of the bending moment knowing that(a) P = 14kN,(b) P = 20kN.
For the beam shown, draw the shear and bending-moment diagrams, and determine the magnitude and location of the maximum absolute value of the bending moment knowing that (a) M = 0, (b) M=12Kn ⋅ m.
For the beam and loading shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the magnitude and location of the maximum absolute value of the bending moment.
Solve Prob. 7.76 assuming that the 30kN ⋅ m couple applied at B is counterclockwise.
For beam AB,(a) Draw the shear and bending-moment diagrams,(b) Determine the magnitude and location of the maximum absolute value of the bending moment.
Solve Prob. 7.78 assuming that the 4-kN force applied at E is directed upward.
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 magnitude and location 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 magnitude and location of the maximum
For the beam shown,(a) Draw the shear and bending-moment diagrams,(b) Determine the magnitude and location of the maximum bending moment.
Beam AB, which lies on the ground, supports the parabolic load shown. Assuming the upward reaction of the ground to be uniformly distributed,(a) Write the equations of the shear and bending-moment
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 + 325 lb ft at D and
Solve Prob. 7.84 assuming that the bending moment was found to be + 260 lb ft at D and + 860 lb ft at E.
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 +7 kN · m at D and
Solve Prob. 7.86 assuming that the bending moment was found to be + 3.6kN · m at D and + 4.14kN · m at E.
Two loads are suspended as shown from cable ABCD. Knowing that dC = 1.5 ft, 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 ABCD. Knowing that the maximum tension in the cable is 720 lb, determine(a) The distance dB,(b) The distance dC.
Knowing that dC = 4 m, determine(a) The reaction at A,(b) The reaction at E.
Knowing that dC = 2.25 m, determine(a) The reaction at A,(b) The reaction at E.

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