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Mechanics Statics
Engineering Mechanics: Statics
2 SOLVED PROBLEMS
121 SOLVED PROBLEMS
Question: 10.5
A light rod is pin-supported at one end and carries a weight W at the other end, as shown in the figure. The ideal spring attached to the rod is capable of resisting both tension and compression, and it is unstretched when the rod is vertical. Find the largest value of W for which the vertical ...
Verified Answer:
The potential energy of the system consists of [la...
Question: 7.9
Calculate the force P required to cause tipping of the packing crate in Sample Problem 7.8. Also determine the minimum coefficient of static friction that permits tipping. ...
Verified Answer:
This is a Type II problem because impending tippin...
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Question: 8.15
A swimming pool is filled with water to a depth of 3 m, as shown in Fig. (a). Determine the magnitude and line of action of the resultant force that acts on the circular portion AB of the wall. The length of the wall (dimension perpendicular to the paper) is 25 m, and the mass density of water is ...
Verified Answer:
The free-body diagram of the water contained in th...
Question: 8.14
The undersides of the 36-in. × 24-in. corrugated sheets in Figs. (a) and (b) carry a uniform normal pressure of p0 = 0.6 lb/in.². Calculate the rectangular components of the resultant force acting on the underside of each sheet. ...
Verified Answer:
Because each sheet is subjected to uniform normal ...
Question: 5.7
The bent bar of negligible weight is supported by a ball-and-socket joint at O, a cable connected between A and E, and a slider bearing at D. The bar is acted on by a wrench consisting of the force P and couple C, both parallel to the z-axis. Determine the components of bearing reaction at D and ...
Verified Answer:
Method of Analysis The force system in the FBD is ...
Question: 8.13
Determine the resultant of the line load shown in Fig. (a). ...
Verified Answer:
As shown in Fig. (b), we represent the original li...
Question: 5.6
The nonhomogeneous plate weighing 60 kN has its center of gravity at G. It is supported in the horizontal plane by three vertical cables. Compute the tension in each cable using the given FBD. ...
Verified Answer:
Method of Analysis As shown in the FBD, the forces...
Question: 5.5
The horizontal boom OC, which is supported by a ball-and-socket joint and two cables, carries the vertical force P = 8000 lb. Calculate TAD and TCE, the tensions in the cables, and the components of the force exerted on the boom by the joint at O. Use the given FBD (the weight of the boom is ...
Verified Answer:
Method of Analysis As shown in the FBD, the force ...
Question: 6.4
The simply supported beam shown in Fig. (a) is loaded by the clockwise couple C0 at B. (1) Derive the shear force and bending moment equations; and (2) draw the shear force and bending moment diagrams. Neglect the weight of the beam. The support reactions A and C have been computed, and their ...
Verified Answer:
Part 1 Due to the presence of the couple
C_...
Question: 6.3
The simply supported beam shown in Fig. (a) carries two concentrated loads. (1) Derive the expressions for the shear force and the bending moment for each segment of the beam. (2) Sketch the shear force and bending moment diagrams. Neglect the weight of the beam. Note that the support reactions at ...
Verified Answer:
Part 1 The determination of the expressions for V ...
Question: 6.2
A pin-connected circular arch supports a 5000-lb vertical load as shown in Fig. (a). Neglecting the weights of the members, determine the normal force, shear force, and bending moment that act on the cross section at 1. ...
Verified Answer:
The FBD of the entire arch is shown in Fig. (b). T...
Question: 6.1
The bar in Fig. (a), supported by a pin at A and a cable at B, carries a uniformly distributed load over its left half. Neglecting the weight of the bar, determine the normal force, shear force, and bending moment acting on the cross section at 1 by analyzing (1) the bar segment on the left of ...
Verified Answer:
Preliminary Calculations We must calculate the ext...
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