Questions and Answers of Structural Analysis

Determine the slope and displacement at C. EI is constant. Use the moment-area theorems. 15 k B 30 ft 15 ft-
Using the conjugate beam method determine the slope at B and deflection at B. EI is constant. 8 kN-m 4 m
Determine the value of a so that the slope at A is equal to zero. EI is constant. Use the moment-area theorems. P P B Fa-+
Using the conjugate-beam method determine the value of a so that the slope at A is equal to zero. EI is constant. P P B Fa-+
Determine the value of a so that the displacement at C is equal to zero. EI is constant. Use the moment-area theorems. P P B Fa-+
Using the conjugate-beam method Determine the value of a so that the displacement at C is equal to zero. EI is constant. P B Lot Fa- /2
Determine the slope and the displacement at C. EI is constant. Use the moment-area theorems. B-
Using the conjugate-beam method determine the slope and the displacement at C. EI is constant. B
Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70 (106) mm4. Use the moment-area theorems. 8 kN 4 kN E3 m - 3 m -3 m
Using the conjugate-beam method determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70 (106) mm4. 8 kN 4 kN E3 m - 3 m -3 m
At what distance a should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical
Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems. 4 kN 4 kN tism+15m- 3 m - 3 m 1.5
Determine the displacement at C and the slope at B. EI is constant.using the conjugate-beam method. 4 kN 4 kN =B tismt15m: 3 m 3 m 1.5 1.5
Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems. в IA IC
Determine the displacement at C and the slope at B. EI is constant. Use the conjugate-beam method. fot в JA
Determine the forceF at the end of the beam C so that the displacement at C is zero. EI is constant. Use the moment-area theorems. B-
Determine the forceFat the end of the beam C so that the displacement at C is zero. EI is constant. Use the conjugate-beam method. B
Determine the slope at Band the displacement at C. EI is constant. Use the moment-area theorems. B-
Determine the slope at Band the displacement at C. EI is constant. Use the conjugate-beam method. B
Determine the maximum displacement at Band the slope at A. EI is constant. Use the conjugate-beam method. Mo
Determine the slope and displacement at C. EI is constant. Use the moment-area theorems. Mo = Pa A B
Determine the slope and displacement at C. EI is constant. Use the conjugate-beam method. Mo = Pa a
Determine the displacement at C. Assume A is a fixed support,Bis a pin, and Dis a roller. EI is constant. Use the moment-area theorems. 25 kN -3 m 3 m 3 m
Determine the displacement at C. Assume A is a fixed support,Bis a pin, and Dis a roller. EI is constant. Use the conjugate-beam method. 25 kN -3 m -3 m 3 m
Determine the displacement at D and the slope at D. Assume A is a fixed support,Bis a pin, and C is a roller. Use the moment-area theorems. 6 k D B |A - 12 ft 12 ft 12 ft-
Determine the displacement at D and the slope at D. Assume A is a fixed support,Bis a pin, and C is a roller. Use the conjugate-beam method. |B Ic |A 12 ft 12 ft 12 ft
Use the portal method and determine (approximately) the reactions at A. Н 3k 15 ft D 4 k 15 ft E 18 ft- -20 ft-
Use the cantilever method and determine (approximately) the reactions at A. All of the columns have the same cross-sectional area. Н 3k 15 ft D 4 k 15 ft E 18 ft- -20 ft-
Using the cantilever method of analysis. All the columns have the same cross-sectional area. D 5k 12 ft 4k 12 ft A 15 ft
Use the portal method of analysis and draw the moment diagram for column AFE. 5 k 12 ft 4 k 12 ft 15 ft-
Use the cantilever method and determine (approximately) the reactions at supports A, B, C, and D. All columns have the same cross-sectional area. K 9 kN 4 m Н 12 kN 4 m 5 m 5 m 5 m -
Use the portal method and determine (approximately) the reactions at supports A,B,C, and D. K 9 kN 4 m F Н 12 kN 4 m D - 5 m- 5 m -
Use the portal method of analysis and draw the moment diagram for girder JIHGF. F. 4k Н 15 ft B D F18 ftH–18 ft –18 ft- ft-–18 ftH
Use the portal method of analysis and draw the 1 moment diagram for girder FED. 15 kN 6 m E8 mH-8 m-
Draw (approximately) the moment diagram for column AJI of the portal. Assume all truss members and the columns to be pin connected at their ends. Also determine the force in members HG, HL, and KL. 6
Solve Prob. 7€“31 if the supports at A and B are fixed instead of pinned.Draw (approximately) the moment diagram for column ACD of the portal. Assume all truss members and the columns to be
Draw (approximately) the moment diagram for column AJI of the portal.if the supports at A and B are fixed instead of pinned. 6 @ 1.5 m = 9 m Н 2 kN T15 m J K L M N O C 4 kN 4 m B.
Draw (approximately) the moment diagram for girder PQRST and column BGLQ of the building frame. Use the portal method т 6k- 10 ft м K 9k- 10 ft Н 9k 10 ft B F15 1--15 f1-20 t- -20 ft-
Draw (approximately) the moment diagram for girder PQRST and column BGLQ of the building frame. All columns have the same cross-sectional area. Use the cantilever method. 6k к Эk— 10 ft L. Н
Draw the moment diagram for girder IJKL of the building frame. Use the portal method of analysis. K 20 kN 4 m G Н 40 kN E 4m 5 m 4 m 24 (10-3) m² 16 (10-³) m² 16 (10-³) m² 24 (10-3) m² Area
Determine (approximately) the force in each member of the truss. Assuming that the diagonals cannot support a compression force. 50 kN 40 kN 20 kN 3 m |B 3 m – - 3 m –
Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or a compression force. 50 kN 40 kN 20 kN to 3 m A в 3 m
Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or a compression force. 10 k 10 k 10 k 10 k Н 20 ft A |C 20 ft- -20 ft- -20 ft-
Determine (approximately) the force in each member of the truss. Assuming that the diagonals cannot support a compression force. 10 k 10 k 10 k 10 k Н 5 k 20 ft |B 20 ft- 20 ft- 20 ft-
Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or a compression force. 14 k 14 k Н 2k 6 ft 8 ft 8 ft 8 ft
Determine (approximately) the force in each member of the truss. Assuming that the diagonals cannot support a compression force. 14 k 14 k 7k 7k Н 2 k 6 ft |B 8 ft 8 ft 8 ft
Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or compression force. -2 m 2 m 1.5 m 'A 4 kN 8 kN
Determine (approximately) the force in each member of the truss. assuming that the diagonals cannot support a compression force. 2 m -2 m 1.5 m 'A 4 kN 8 kN
Determine (approximately) the force in each member of the truss. Assume the diagonals can support both tensile and compression forces. 1.5 k 15 ft 2k 15 ft 2k 15 ft B 15 ft
Determine (approximately) the force in each member of the truss. Assume the diagonals DG and AC cannot support a compression force. 1.5 k 15 ft 2k 15 ft 2k 15 ft -15 ft
Draw (approximately) the moment diagram for column ACD of the portal. Assume all truss members and the columns to be pin connected at their ends. Also determine the force in members FG, FH, and EH. 6
Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or compression force. 1.5 m 8 kN 2 m 10 kN 2 m
Determine (approximately) the force in each member of the truss. Assume the diagonals cannot support a compression force. -1.5 m- 8 kN 10 kN A B
Determine (approximately) the internal moments at joints A and B of the frame. 3 kN/m Н 6 m +6m – -8 m
Determine (approximately) the internal moments at joints F and D of the frame. 400 lb/ft D B. -15 ft -20 ft -
Determine (approximately) the internal moment at A caused by the vertical loading. 5 kN/m 9 kN/m A 8 m
Determine (approximately) the internal moments at A and B caused by the vertical loading. 3 kN/m K 5 kN/m 5 kN/m Н 8 m 8 m
Determine (approximately) the internal moments at joints I and L. Also, what is the internal moment at joint H caused by member HG? 0.5 k/ft K 1.5 k/ft 1.5 k/ft П Н п ПП F D. Taont - 20 ft- 40
Determine (approximately) the support actions at A,B, and C of the frame. 400 lb/ft Н 1200 lb/ft B 15 ft 20 ft
Determine (approximately) the support reactions at Aand Bof the portal frame. Assume the supports are (a) Pinned, and (b) Fixed. 12 kN 6 m A 4 m
Determine (approximately) the internal moment and shear at the ends of each member of the portal frame. Assume the supports at A and Dare partially fixed, such that an inflection point is located at
Draw (approximately) the moment diagram for member ACE of the portal constructed with a rigid member EG and knee braces CF and DH. Assume that all points of connection are pins. Also determine the
Draw (approximately) the moment diagram for member ACE of the portal constructed with a rigid member EG and knee braces CF and DH.if the supports at A and Bare fixed instead of pinned. 1.5 ft 1.5 ft
Determine (approximately) the force in each truss member of the portal frame. Also find the reactions at the fixed column supports A and B. Assume all members of the truss to be pin connected at
Determine (approximately) the force in each truss member of the portal frame. Also find the reactions at the fixed column supports A and B.if the supports at A and B are pinned instead of fixed. 8 ft
Determine (approximately) the force in members GF,GK, and JK of the portal frame. Also find the reactions at the fixed column supports A and B.if the supports at A and Bare pin connected instead of
Draw (approximately) the moment diagram for column AGF of the portal. Assume all truss members and the columns to be pin connected at their ends. Also determine the force in all the truss members. -2
Draw (approximately) the moment diagram for column AGF of the portal. Assume all the members of the truss to be pin connected at their ends. The columns are fixed at A and B. Also determine the force
Determine (approximately) the force in each truss member of the portal frame. Also find the reactions at the fixed column supports A and B. Assume all members of the truss to be pin connected at
Determine (approximately) the force in each truss member of the portal frame. Also find the reactions at the fixed column supports A and B.if the supports at A and Bare pinned instead of fixed. 1.5
Using the cantilever method of analysis. Each column has the cross-sectional area indicated. Area 24(10-3)m2 16(10-3)m2 16(10-3)m2 24(10-3)m2 K L 20 kN 4 m E F 40 kN 4 m A В D E 4 m – 4 m- 5 m -
Determine (approximately) the force in members GF,GK, and JK of the portal frame. Also find the reactions at the fixed column supports A and B. Assume all members of the truss to be connected at
Determine the shear and moment throughout the beam as a function of x. Mo -х- Ь
Determine the shear and moment in the floor girder as a function of x. Assume the support at A is a pin and B is a roller. 6 kN 4 kN 1 m- -2 m -
Determine the shear and moment throughout the beam as a function of x. -х- L-
Determine the internal normal force, shear force, and bending moment in the beam at point C.The support at A is a roller and B is pinned. 5 kN 3 kN/m B 2 m – 2 m
Determine the internal normal force, shear force, and bending moment in the beam at points C and D. Assume the support at A is a roller and B is a pin. 4 kN/mị в! B' -1.5 m- –1.5 m- -1.5 m -1.5 m
Determine the maximum moment at C caused by the moving load. 2400 lb 2 fi1 ft -15 ft -15 ft
Draw the influence line for the force in member IH of the bridge truss. Determine the maximum force (tension or compression) that can be developed in this member due to a 72-k truck having the wheel
Determine the maximum positive moment at point C on the single girder caused by the moving load.
The cart has a weight of 2500 lb and a center of gravity at G. Determine the maximum positive moment created in the side girder at C as it crosses the bridge. Assume the car can travel in either
Draw the influence line for the force in member BC of the bridge truss. Determine the maximum force (tension or compression) that can be developed in the member due to a 5-k truck having the wheel
Draw the influence line for the force in member IC of the bridge truss. Determine the maximum force (tension or compression) that can be developed in the member due to a 5-k truck having the wheel
The truck has a mass of 4 Mg and mass center at G1, and the trailer has a mass of 1 Mg and mass center at G2, Determine the absolute maximum live moment developed in the bridge. G2 l1,5 ml1.5 ml в:
The truck has a mass of 4 Mg and mass center at G1, and the trailer has a mass of 1 Mg and mass center at G2, Determine the absolute maximum live moment in the bridge in Problem 6€“69 if
Determine the absolute maximum live shear and absolute maximum moment in the jib beam AB due to the 10-kN loading. The end constraints require 0.1 m ‰¤ x ‰¤ 3.9 m. 4 m 'A 10 kN
Determine the maximum moment at C caused by the moving loads. 6 k 4 k 2k 3 ft 4 ft 3 ft -20 ft - -30 ft-
Determine the absolute maximum moment in the girder bridge due to the truck loading shown. The load is applied directly to the girder. 15 k 10 k 3k 20 ft 8 ft 4 ft B. 80 ft
Determine the absolute maximum shear in the beam due to the loading shown. 20 kN 40 kN 25 kN B' 1.5 m -12 m-
Determine the absolute maximum moment in the beam due to the loading shown. 20 kN 40 kN 25 kN 15 mo -12 m-
Determine the absolute maximum shear in the bridge girder due to the loading shown. 10 k 6k 8 ft B 30 ft-
Determine the absolute maximum moment in the bridge girder due to the loading shown. 10 k 6k 8 ft -30 ft
Determine the absolute maximum moment in the girder due to the loading shown. Tim 10 k 8k 3 k4k 3 ft 2 ft 2 ft -25 ft -
Determine the absolute maximum shear in the beam due to the loading shown. 6 k 3k 2 k 4 k 5 ft 3 ft 3 ft 30 ft
Determine the absolute maximum moment in the bridge due to the loading shown. 6k 3k 2k4k 5 ft 3 ft 3 ft 30 ft
The trolley rolls at C and D along the bottom and top flange of beam AB. Determine the absolute maximum moment developed in the beam if the load supported by the trolley is 2 k. Assume the support at
Determine the maximum positive moment at the splice Con the side girder caused by the moving load which travels along the center of the bridge. 8 kN 4 kN B
Determine the maximum positive shear at point B if the rail supports the load of 2.5 k on the trolley. 8 ft -6 ft--6 ft - 8 ft B. 1 ft|2 ft 2.5 k
Determine the maximum moment in the suspended rail at point B if the rail supports the load of 2.5 k on the trolley. 8 ft- 8 ft -6 ft -6 ft B, A. 1 ft|2 ft 2.5 k
Determine the maximum moment at point Con the single girder caused by the moving dolly that has a mass of 2 Mg and a mass center at G. Assume A is a roller. B0.5m 1.5 m 5 m 5 m - -5 m-

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