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engineering
mechanical engineering
Vector Mechanics For Engineers Statics And Dynamics 8th Edition Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell - Solutions
For the Gambrel roof truss shown, determine the force in members CG and CI and in each of the members located to the left of the centerline of the truss. State whether each member is in tension or compression.
For the Gambrel roof truss shown, determine the force in members CG and CI and in each of the members located to the right of the centerline of the truss. State whether each member is in tension or compression.
Determine the force in member DE and in each of the members located to the left of DE for the inverted Howe roof truss shown. State whether each member is in tension or compression.
Determine the force in each of the members located to the right of DE for the inverted Howe roof truss shown. State whether each member is in tension or compression.
Determine the force in each of the members located to the left of member FG for the roof truss shown. State whether each member is in tension or compression.
Determine the force in member FG and in each of the members located to the right of member FG for the roof truss shown. State whether each member is in tension or compression.
The portion of truss shown represents the upper part of a power transmission line tower. For the given loading, determine the force in each of the members located above member HJ. State whether each member is in tension or compression.
For the tower and loading of Prob. 6.21 and knowing that 500 FCH = FEJ = lb C and FEH = 0, determine the force in member HJ and in each of the members located between members HJ and NO. State whether each member is in tension or compression.
For the roof truss shown, determine the force in each of the members located to the left of member GH. State whether each member is in tension or compression.
Determine the force in member GH and in each of the members located to the right of member GH for the roof truss shown. State whether each member is in tension or compression.
Determine the force in each member of the truss shown. State whether each member is in tension or compression.
Determine the force in each member of the truss shown. State whether each member is in tension or compression.
Determine whether the trusses of Probs. 6.14, 6.15, and 6.23 are simple trusses.
Determine whether the trusses of Probs. 6.21, 6.25, and 6.29 are simple trusses.
For the given loading, determine the zero-force members in the truss shown.
For the given loading, determine the zero-force members in the truss shown.
For the given loading, determine the zero-force members in the truss shown.
For the given loading, determine the zero-force members in the truss shown.
For the given loading, determine the zero-force members in the truss shown.
For the given loading, determine the zero-force members in the truss shown.
Determine the zero-force members in the truss of(a) Prob. 6.9,(b) Prob. 6.29.
The truss shown consists of six members and is supported by two short links at each of the joints A, B, and C. Determine the force in each of the members f or P= − (940 N)j and Q = 0.
The truss shown consists of six members and is supported by two short links at each of the joints A, B, and C. Determine the force in each of the members for P = ˆ’ (940 N)j and Q=(987 N)k.
The portion of a power line transmission tower shown consists of nine members and is supported by a ball and socket at B and short links at C, D, and E. Determine the force in each of the members for the given loading.
The truss shown consists of nine members and is supported by two short links at each of the joints A, B, and C. Determine the force in each of the members for the given loading.
The truss shown consists of 18 members and is supported by a ball and socket at A, two short links at B, and one short link at G.(a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate.(b) For the given
The truss shown consists of 18 members and is supported by a ball and socket at A, two short links at B, and one short link at G.(a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate.(b) For the given
A floor truss is loaded as shown. Determine the force in members CF, EF, and EG.
A floor truss is loaded as shown. Determine the force in members FI, HI, and HJ.
A vaulted roof truss is loaded as shown. Determine the force in members BD, BE, and CE.
A vaulted roof truss is loaded as shown. Determine the force in members GJ, IJ, and IK.
A parallel chord Pratt truss is loaded as shown. Determine the force in members CE, DE, and DF.
A parallel chord Pratt truss is loaded as shown. Determine the force in members GI, GJ, and HJ.
A Howe scissors roof truss is loaded as shown. Determine the force in members DF, DG, and EG.
A Howe scissors roof truss is loaded as shown. Determine the force in members GI, HI, and HJ.
A Fink roof truss is loaded as shown. Determine the force in members BD, CD, and CE.
A Fink roof truss is loaded as shown. Determine the force in members FH, FG, and EG.
A roof truss is loaded as shown. Determine the force in members CE, DE, and EF.
A roof truss is loaded as shown. Determine the force in members GI, HI, and IJ.
A roof truss is loaded as shown. Determine the force in members FH, GJ, and GI.
A barrel vault truss is loaded as shown. Knowing that the length of the bottom chords DF, FH, ., and QS is 3 ft, determine the force in members IK, JL, and JM.
A vaulted roof truss is loaded as shown. Determine the force in members BE, CE, and DF.
A vaulted roof truss is loaded as shown. Determine the force in members HJ, IJ, and GI.
An arch roof truss is loaded as shown. The length of all of the outer chords, AC, CE, ..., and OQ, is 1 m and the length of the webs AB, CD, EF, ..., and RQ is 0.4 m. Determine the force in members CE, CF, and DF.
An arch roof truss is loaded as shown. The length of all of the outer chords, AC, CE, ..., and OQ, is 1 m and the length of the webs AB, CD, EF, ..., and RQ is 0.4 m. Determine the force in members GI, GJ, and IJ.
Determine the force in members DG and FH of the truss shown.
Determine the force in members IL, GJ, and HK of the truss shown.
Determine the force in members IK and HK of the truss shown.
Determine the force in members FI and EG of the truss shown.
The diagonal members in the center panel of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members BD and CE and in the counter which is acting when P = 12 kN.
Solve Prob. 6.64 when P = 6 kN. Problem 6.64: The diagonal members in the center panel of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members BD and CE and in the counter which is acting when P = 12 kN.
The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in member DE and in the counters which are acting under the given loading.
The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in member DE and in the counters which are acting under the given loading.
The diagonal members CF and DE of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members CE and DF and in the counter which is acting when P = 0.
The diagonal members EH and FG of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members EG and FH and in the counter which is acting when P = 40 kN.
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as statically determinate or indeterminate. (All members can act both in tension and in compression.)
Determine the components of all forces acting on member ABCD of the assembly shown.
For the frame and loading shown, determine the force acting on member ABC(a) At B,(b) At C.
For the frame and loading shown, determine the components of all forces acting on member DECF.
Solve Prob. 6.78 assuming that the 480-N load is replaced with a clockwise couple of magnitude 400 N ˆ™ m applied to member DECF at point F. Problem 6.78: For the frame and loading shown, determine the components of all forces acting on member DECF.
A circular ring of radius 8 in. is pinned at A and is supported by rod BC, which is fitted with a collar at C that can be moved along the ring. For the position when θ = 35°, determine(a) The force in rod BC,(b) The reaction at A.
Solve Prob. 6.80 when θ = −20°. Problem 6.80: A circular ring of radius 8 in. is pinned at A and is supported by rod BC, which is fitted with a collar at C that can be moved along the ring. For the position when θ = 35°, determine(a) The force in rod BC,(b) The reaction at
For the frame and loading shown, determine the components of all forces acting on member ABCD.
Solve Prob. 6.82 assuming that the 180-N load is replaced with a clockwise couple of magnitude 60 N ∙ m applied to member CEF at point F. Problem 6.83: For the frame and loading shown, determine the components of all forces acting on member ABCD.
Determine the components of the reactions at A and E when a 24- lb force directed vertically downward is applied(a) At B,(b) At D
Determine the components of the reactions at A and E when a 320-N force directed vertically downward is applied(a) At B,(b) At D.
Determine the components of the reactions at A and E when a counterclockwise couple of magnitude 192 lb ∙ in. is applied to the frame(a) At B,(b) At D.
Determine the components of the reactions at A and E when a counterclockwise couple of magnitude120 N ∙ m is applied to the frame(a) At B,(b) At D.
Determine all the forces exerted on member AI when a clockwise couple of magnitude 180 lb ˆ™ ft is applied to the frame(a) At point D,(b) At point E.
The 120-N load can be moved along the line of action shown and can be applied at A, D, or E. Determine the components of the reactions at B and F when the 120-N load is applied(a) At A,(b) At D,(c) At E.
The 120-N load is removed and a 48-N⋅m clockwise couple is applied successively at A, D, and E. Determine the components of the reactions at B and F when the couple is applied(a) At A,(b) At D,(c) At E.
(a) Show that when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal and parallel to the forces that the cable exerted on the pulley.(b) Show that if one end of the cable is
Two 5-in.-diameter pipes (pipe 1 and pipe 2) are supported every 10 ft by a small frame like the one shown. Knowing that the combined weight per unit length of each pipe and its contents is 22 lb/ft and assuming frictionless surfaces, determine the components of the reactions at A and E when a = 0.
Solve Prob. 6.92 when a = 14 in. Problem 6.92: Two 5-in.-diameter pipes (pipe 1 and pipe 2) are supported every 10 ft by a small frame like the one shown. Knowing that the combined weight per unit length of each pipe and its contents is 22 lb/ft and assuming frictionless surfaces, determine the
Knowing that the pulley has a radius of 60 mm, determine the components of the reactions at A and E.
Knowing that the pulley has a radius of 75 mm, determine the components of the reactions at A and B.
The cab and motor units of the front-end loader shown are connected by a vertical pin located 60 in. behind the cab wheels. The distance from C to D is 30 in. The center of gravity of the 50-kip motor unit is located at Gm, while the centers of gravity of the 18-kip cap and 16-kip load are located,
Solve Prob. 6.96 assuming that the 16-kip load has been removed. Problem 6.96: The cab and motor units of the front-end loader shown are connected by a vertical pin located 60 in. behind the cab wheels. The distance from C to D is 30 in. The center of gravity of the 50-kip motor unit is located at
For the frame and loading shown, determine the components of all forces acting on member ABD.
For the frame and loading shown, determine the components of all forces acting on member GBEH.
For the frame and loading shown, determine the components of the forces acting on member ABC at B and C.
For the frame and loading shown, determine the components of the forces acting on member ABC at B and C.
A 56-kg woman stands at C on the vintage step stool shown. Half the woman€™s weight is carried by the legs shown. Determine the components of the force exerted at E on leg BE assuming that the bottom of each leg is not quite parallel to the floor so the bearing occurs at points A and B.
A 56-kg woman stands at C on the vintage step stool shown. Half the woman€™s weight is carried by the legs shown. The bottoms of the legs are not quite parallel to the floors so that bearing can occur in four ways: at A and B, at A and, B€² at A€² and B, or at
The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that 14 P = kips and Q = 21 kips, determine(a) The components of the reaction at A,(b) The components of the force exerted at B on segment AB.
The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that P = 21 kips and Q = 14 kips, determine(a) The components of the reaction at A,(b) The components of the force exerted at B on segment AB.
Knowing that P = 411 lb and Q = 0, determine for the frame and loading shown(a) The reaction at D,(b) The force in member BF.
Knowing that P = 0 and Q = 274 lb, determine for the frame and loading shown(a) The reaction at D,(b) The force in member BF.
Two parallel members ABC and DEF are placed between two walls and are connected by link BE. Neglecting friction between the members and the walls, determine the range of values of the distance a for which the load P can be supported.
The frame shown consists of members ABCD and EFGH and two links that connect the two members. Determine the force in each link for the given loading.
The frame shown consists of members ABCD and EFGH and two links that connect the two members. Determine the force in each link for the given loading.
The frame shown consists of members ABCD and EFGH and two links that connect the two members. Determine the force in each link for the given loading.
Members ABC and CDE are pin-connected at C and are supported by the four links AF, BG, GD, and EH. For the loading shown determine the force in each link.
Three wooden beams, each of length of 3a, are nailed together to form the support system shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at A, D, and F.
Four wooden beams, each of length 2a, are nailed together at their midpoints to form the support system shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at A, D, E, and H.
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