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structural analysis

Structural Analysis 8th Edition Russell C. Hibbeler - Solutions

Draw the shear and moment diagrams for each member of the frame. Assume the joint at A is a pin and support C is a roller.The joint at B is fixed.The wind load is transferred to the members at the girts and purlins from the simply supported wall and roof segments. 300 lb/ft 3.5 ft 3.5 ft
Draw the influence lines for (a) The moment at C, (b) The reaction at B, and (c) The shear at C. Assume A is pinned and Bis a roller.Solve Prob. 6€“1 using the Muller-Breslau principle. IB 10 ft – 10 ft– 10 ft
The three-hinged spandrel arch is subjected to the loading shown. Determine the internal moment in the arch at point D. 8 kN 8 kN 6 kN 6 kN 3 kN 4 kN 3 kN 2 m 2 m 2 m 4 kN 2 m2 m 2 m IB 5 'm 3'm -8 m- -5 m-
Determine the resultant forces at the pins A, B, and C of the three-hinged arched roof truss. 4 kN 4 kN 3 kN 2 kŇ 5 kN B -3 m- -3 m- -3 m- 2 m im1 m
Cable ABCD supports the loading shown. Determine the maximum tension in the cable and the sag of point B. 2 m Ув B. 1 m - 0.5 m - 3 m 4 kN 6 kN
The tied three-hinged arch is subjected to the loading shown. Determine the components of reaction at A and C and the tension in the cable. 15 kN 10 kN 2 m -1 m-| -2 m -2 m- 0.5 m
Determine the tension in each cable segment and the distance yD. Ур в B 2 m 2 kN – 3 m- -4 m - 5 m- 4 kN
Draw the shear and moment diagrams for beams AB and BC.The cable has a parabolic shape. 3 'm 9 m B 5 kN 3 kŇ 12 ml2 ml2 m| 2 ml2 m12 m12 ml2 m
The beams AB and BC are supported by the cable that has a parabolic shape. Determine the tension in the cable at points D, F, and E, and the force in each of the equally spaced hangers. 3'm 9 m A B 5 kN 3 kN 12 ml2 m 2 m 2 m 2 ml2 ml2 ml2 m
Determine the maximum and minimum tension in the parabolic cable and the force in each of the hangers.The girder is subjected to the uniform load and is pin connected at B. 9 ft ft 2 k/ft 10 ft 30 ft F10 ft-
Draw the shear and moment diagrams for the pin connected girders AB and BC. The cable has a parabolic shape. 9 ft 1 ft 2 k/ft 10 ft B 30 ft F10 ft-
The cable will break when the maximum tension reaches Tmax= 500 kN. Determine the maximum uniform distributed load w required to develop this maximum tension. -100 m 12 m
The tied three-hinged arch is subjected to the loading shown. Determine the components of reaction A and C, and the tension in the rod. 5 k 3 k 4 k B 15 ft -8 ft-10 ft--10 ft- 6 ftT 6 ft
The bridge is constructed as a three-hinged trussed arch. Determine the horizontal and vertical components of reaction at the hinges (pins) at A, B, and C. The dashed member DE is intended to carry no force. 60 k 20 k 20 k 40 k 40 k D10 ft E ▼ 100 ft h3 30 ft 30 ft 30 ft 30 ft 30 ft 30 ft 30 ft
Determine the design heights h1, h2, and h3, of the bottom cord of the truss so the three-hinged trussed arch responds as a funicular arch. 60 k 20 k 20 k 40 k 40 k * D10 ft E B 100 ft h3 30 ft 30 ft 30 ft 30 ft 30 ft 30 ft 30 ft 30 ft
Draw the influence lines for (a) The moment at C, (b) The reaction at B, and (c) The shear at C. Assume A is pinned and Bis a roller. Solve this problem using he basic method of Sec. 6€“1. IB 10 ft – 10 ft– 10 ft
Determine the horizontal and vertical components of reaction at A, B, and C of the three-hinged arch.Assume A, B, and C are pin connected. 4k B |2 ft 3k 5 ft 8 ft - 7 ft- -4 ft--7 ft- -5 ft→| - 10 ft
The three-hinged spandrel arch is subjected to the uniform load of 20 kN / m. Determine the internal moment in the arch at point D. 20 kN/m B 5 m 3 m 8 m -5 m- -3 m-
The cable is subjected to a uniform loading of w = 60 kN/m. Determine the maximum and minimum tension in cable. -100 m- 12 m
The trusses are pin connected and suspended from the parabolic cable. Determine the maximum force in the cable when the structure is subjected to the loading shown. E, 14 ft 6 ft K 16 ft G H B V4 k 5 k -4 @ 12 ft = 48 ft--4 @ 12 ft = 48 ft-
The cable shown is subjected to the uniform load w0. Determine the ratio between the rise h and the span L that will result in using the minimum amount of material for the cable. Wo
Determine the maximum uniform loading w, measured in b/ft, that the cable can support if it is capable of sustaining a maximum tension of 3000 lb before it will break. 50 ft 6 ft
Determine the maximum and minimum tension in the cable. - 10 m 10 m 16 kN/m
The cable is subjected to the uniform loading. If the slope of the cable at point O is zero, determine the equation of the curve and the force in the cable at O and B. BO 8 ft 500 lb/ft 15 ft – 15 ft
Draw the moment diagrams for the beam using the method of superposition. Consider the beam to be simply supported at A and B as shown. 200 lb/ft 100 lb-ft 100 lb-ft -20 ft -
Draw the moment diagrams for the beam using the method of superposition. Consider the beam to be cantilevered from the rocker at B. 30 kN 4 kN/m 80 kN m 4 m- -8 m-
Draw the moment diagrams for the beam using the method of superposition. Consider the beam to be cantilevered from end C. 30 kN 4 kN/m 80 kN m -4 m- -8 m
The arch structure is subjected to the loading shown. Determine the horizontal and vertical components of reaction at A and D, and the tension in the rod AD. 2 k/ft 3 ft 3к 3 ft \D it -6 ft- - 4 ft--4 ft- -8 ft- $2 k/ft 3 ft 3к 3 ft \D it -6 ft- - 4 ft--4 ft- -8 ft-$
Determine the force in members CD, ED, and CF of the space truss and state if the members are in tension or compression. O E 2 m 2 m 2 m/ - 3 m 2 kN 2 kN
Determine the force in each member of the space truss. Indicate if the members are in tension or compression. 2 kN 4 kN 2 m 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. Although this truss is indeterminate to the first degree, a solution is possible due to symmetry of geometry and loading.
Determine the force in each member of the space truss and state if the members are in tension or compression. -2 m E Do 5 m 3 m -y 4 m. 6 kN
Determine the force developed in each member of the space truss and state if the members are in tension or compression.The crate has a weight of 150 lb. 6 ft. RC 6 ft 6 ft, B. 6 ft
Determine the force in all the members of the complex truss. State if the members are in tension or compression. 4 kN 30 30° D 6 m 30° 30 3 m- -3 m-
Determine the force in each member and state if the members are in tension or compression. 4 kN 4 kN m- 2 m
Determine the forces in all the members of the lattice (complex) truss. State if the members are in tension or compression. K Н 12 ft 6 ft D A B 12 ft 6 ft 6 ft- 2k
Determine the forces in all the members of the complex truss. State if the members are in tension or compression. 600 lb 130° 30 FO 12 ft 45 45° -6 ft 6 ft
Determine the forces in members KJ, CD, and CJ of the truss. State if the members are in tension or compression. 30 kN 20 kN 15 kN 15 kN 5 kN 10 kN 5 kN H. Ap 3 @1m = 3 m 6 @ 3 m = 18 m- %3D
Determine the force in members JI, IC, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m – 3 kN 3 kN 3 kN 3 kN 1.5 kN IK H. פת בה
Determine the force in members IH, ID, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m 3 kN 3 kN 3 kN 3 kN 1.5 kN |K Н oo o0 8% 00 5 m
Determine the force in members GF, FB, and BC of the Fink truss and state if the members are in tension or compression. 600 lb 800 lb 800 lb E 60 30° 60° 30° D -10 ft -10 ft- -10 ft-
Determine the force in members GF, CF, and CD of the roof truss and indicate if the members are in tension or compression. 1.5 kN 1.70 m 2 kN 1.5 m 0,8 m Н G. -1 m- 2 m 2 m
Determine the force in members BG, HG, and BC of the truss and state if the members are in tension or compression. Н 4.5 m 3 m D 7 kN 6 kN 4 kN 12 m, 4 @ 3 m
The Howe truss is subjected to the loading shown. Determine the forces in members GF, CD, and GC. State if the members are in tension or compression. Assume all members are pin connected. 5 kN G- 5 kN 5 kN 3 m Н 2 kN 2 kN A peol o000 o000 B 2 m 2m -2 m 2 m od 00
Determine the force in members GF, FC, and CD of the cantilever truss. State if the members are in tension or compression. Assume all members are pin connected. 12 kN 12 kN 3 m 12 kN -2 m -2 m– -2 m –
Determine the force in members GF, FC, and CD of the bridge truss. State if the members are in tension or compression. Assume all members are pin connected. 15 ft Н 30 ft B. - 40 ft-40 - 40 ft- 40 ft- 15 k 10 k
Determine the force in members JK, JN, and CD. State if the members are in tension or compression. Identify all the zero-force members. K 20 ft Н м DE B - 20 ft- 30 ft- - 20 ft – 2 k 2k
Determine the force in each member of the roof truss. State if the members are in tension or compression.Assume B is a pin and C is a roller support. H60°. 60° 60° 30° 60° B 2 m - 2 m- 2 kN 2 kN
Determine the force in each member of the truss. State if the members are in tension or compression. 30° 30° 45° 45° 30° 30° - 2 m 2 kN
Determine the force in each member of the roof truss. State if the members are in tension or compression. Assume all members are pin connected. Н 3 m E- |B |C 10 kN 10 kN 10 kN -4 m-4m-4 m-4 m-
Determine the force in each member of the roof russ. State if the members are in tension or compression. 8 kN 4 kN 4 kN 4 kN 4 kN - 4 kN - | 3.5 m 4 kN Н 6 @ 4 m = 24 m
Determine the force in each member of the truss and state if the members are in tension or compression. 4 kN -3 m- 3 m- 3 m- B. 3 m 5 m 5 kN
Determine the force in each member of the truss. State if the members are in tension or compression.Assume all members are pin connected.AG = GF = FE = ED. 8 kN 8 kN 8 kN 4 kN 4 kN 2 m 4 m - 4 m
Determine the force in each member of the truss. State if the members are in tension or compression.Assume all members are pin connected. 3 m D -2 m- -2 m- -2 m- 5 kN 5 kN 5 kN
Determine the force in each member of the truss. State if the members are in tension or compression. 3k Н 2k 3к NG 12 ft D |C 10 ft- 10 ft - – 10 ft- 10 ft- B.
Determine the force in each member of the truss. State if the members are in tension or compression. 4 k 4 k 9 ft 2 k |C B 30° – 12 ft - 12 ft 12 ft
If the maximum force that any member can support is 8 kN in tension and 6 kN in compression, determine the maximum force P that can be supported at joint D. 4 m B, 60° Af 60° – 4 m 4 m -
Determine the force in each member of the truss. State whether the members are in tension or compression. Set P = 8 kN. 4 m B, 60 OD 60° Аб 4 m 4 m
Determine the force in each member of the truss. Indicate if the members are in tension or compression. Assume all members are pin connected. 1.5 k 2 k 2 k 8 ft Н 4 ft B 8 ft – 8 ft – 8 ft-
Classify each of the following trusses as statically determinate, statically indeterminate, or unstable. If indeterminate, state its degree.a.b.c.d.
Classify each of the following trusses as statically determinate, indeterminate, or unstable. If indeterminate, state its degree.a.b.c.
Classify each of the following trusses as stable, unstable, statically determinate, or statically indeterminate. If indeterminate state its degree.a.b.c.
Classify each of the following trusses as statically determinate, statically indeterminate, or unstable. If indeterminate, state its degree.a.b.c.d.
Determine the reactions at the supports A and B. The joints C and D are fixed connected. 10 kN/m IC B. 4 m –1.5 m- 3 m -
Determine the horizontal and vertical components at A, B, and C. Assume the frame is pin connected at these points.The joints at D and E are fixed connected. 3 k/ft 6 ft 1.5 k/ft 10 ft -18 ft -18 ft-
Determine the horizontal and vertical components of reaction at A,C, and D.Assume the frame is pin connected at A,C, and D, and there is a fixed-connected joint at B. 50 kN 40 kN -1.5 m- -1.5 m- -2 m 15 kN/m B 6 m
Determine the horizontal and vertical reactions at the connections A and C of the gable frame.Assume that A, B, and C are pin connections. The purlin loads such as D and E are applied perpendicular to the center line of each girder. 400 lb 400 lb 600 lb 600 lb 800 lb 800 lb D 120 lb/ft
Determine the reactions at the supports A and D. Assume A is fixed and B and C and D are pins. B D 1.5L
Determine the resultant forces at pins B and C on member ABC of the four-member frame. - 5 ft- -2 ft – 150 lb/ft B. 4 ft -2 ft - 5 ft-
Determine the horizontal and vertical components force at pins A and C of the two-member frame. 200 N/m (B 3 m -3 m
Determine the horizontal and vertical components of reaction at the supports A and B. Assume the joints at C and D are fixed connections. 40 kN 30 kN 20 kN 12 kN/m 4 m B - 6 m- - 8 m
Determine the reactions at the supports A and B. 700 lb/ft 20 ft 500 lb/ft B 30 ft 48 ft- 48 ft-
Determine the reactions at the smooth support A and the pin support B.The joint at C is fixed connected. 150 lb/ft -10 ft - 5 ft 60°
Determine the horizontal and vertical components of reaction acting at the supports A and C. 2 m 4'm 30 kN| 2 m 50 kN 4m - 3 m- – 3m 1.5 m '1.5 m
The cantilever footing is used to support a wall near its edge A so that it causes a uniform soil pressure under the footing. Determine the uniform distribution loads,wAand WB, measured in lb/ft at pads A and B, necessary to support the wall forces of 8000 lb and 20 000 lb. 20 000 lb 8000 lb -0.25
The beam is subjected to the two concentrated loads as shown. Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load intensities w1and w2for equilibrium (a) in terms of the parameters shown; (b) set P = 500 lb, L = 12 ft. 2P 3 3 Wi w2
Determine the reactions at the supports A and B of the compound beam.There is a pin at C. 2 kN/m B 4 m 6 m
Determine the reactions at the supports A and B of the compound beam.There is a pin at C. 4 kN/m 4.5 m 6 m
Determine the reactions at the supports A and B. The floor decks CD, DE, EF, and FG transmit their loads to the girder on smooth supports. Assume A is a roller and B is a pin. 10 k 3 k/ft |1 ft -3 ft→ B - 4 ft -4 ft-–4 ft -4 ft
Determine the reactions at the truss supports A and B.The distributed loading is caused by wind. 600 lb/ft 400 lb/ft 20 ft lon co 48 ft – 48 ft
Determine the reactions at the smooth support C and pinned support A. Assume the connection at B is fixed connected. 80 lb/ft 30° 10 ft -6 ft-
Determine the reactions on the beam.The support at B can be assumed to be a roller. 2 k/ft 12 ft 12 ft –
Determine the reactions at the supports A, B, D, and F. 2 k/ft Hc F D- -4 ft-4 ft- +- 4 ft-- 4 ft 2 ft -8 ft
Determine the reactions at the supports A and B of the compound beam. Assume there is a pin at C. 18 kN 4 kN/m |C -2 m- -2 m- 6 m
Determine the reactions on the beam. 2 k/ft B 5k/ft 10 ft 24 ft -
Determine the reactions on the beam. 3 k/ft 2 k/ft 2 k/ft |B, 60° 600 k · ft 12 ft 12 ft
Determine the reactions on the beam. Neglect the thickness of the beam. 20 kN 26 kN 20 kN 13 12 B - 3 m- -6 m- -6 m-
Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy.a.b.c.d.
Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy.a.b.c.d.
Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. a.b.c.
Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be assumed as stated.a.b.c. pin fixed pin rocker I roller pin roller pin fixed
Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be assumed as stated.a.b.c. pin roller I fixed fixed pin pin fixed
Classify each of the frames as statically determinate or indeterminate. If indeterminate, specify the degree of indeterminacy. All internal joints are fixed connected.a.b.c.d.
Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be assumed as stated.a.b.c.d.e.
Solve Prob. 2€“9, with b = 12 ft, a = 4 ft.The steel framework is used to support the 4-in. reinforced stone concrete slab that carries a uniform live loading of 500 Ib / ft2 . B.
The steel framework is used to support the 4-in. reinforced stone concrete slab that carries a uniform live loading of 500 Ib / ft2. Sketch the loading that acts along members BE and FED. Set b = 10 ft, a = 7.5 ft. B
Solve Prob. 2€“6, with a = 9 ft, b = 15 ft.The frame is used to support a 2-in.-thick plywood floor of a residential dwelling. D E B G Н
Solve Prob. 2€“6, with a = 8 ft, b = 8 ft.The frame is used to support a 2-in.-thick plywood floor of a residential dwelling. D E B G Н
The frame is used to support a 2-in.-thick plywood floor of a residential dwelling. Sketch the loading that acts along members BG and ABCD. Set a = 5 ft, b = 15ft. D E B G Н
Solve Prob. 2€“3 with a = 7.5 ft, b = 20 ft.The floor system used in a school classroom consists of a 4-in. reinforced stone concrete slab. D.

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