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structural analysis
Questions and Answers of
Structural Analysis
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 669 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-
Draw the influence line for the force in member CF, and then determine the maximum force (tension or compression) that can be developed in this member due to a uniform live load of 800 lb/ft which is
Draw the influence line for the force in member CD, and then determine the maximum force (tension or compression) that can be developed in this member due to a uniform live load of 800 lb/ft which
Draw the influence line for the force in member GD, then determine the maximum force (tension or compression) that can be developed in this member due to a uniform live load of 3 kN/m that acts on
Draw the influence line for the force in member KJ. Н -4m-4m--4 m---4mt-4m--4 m-
Draw the influence line for the force in member CD. Н Н 3 m Fam--4 m-4 m-4m-4 m--4 m-
Draw the influence line for the force in member CD. Н T 9ft 6 ft C D E 6 @ 9 ft = 54 ft F
Draw the influence line for the force in member DL. к м Н 6 ft C D E -6 @ 9 ft = 54 ft F B
Draw the influence line for the force in member CL. к Н 6 ft C D E 6 @ 9 ft = 54 ft - B F
Draw the influence line for the force in member FE of the Warren truss. Indicate numerical values for the peaks. All members have the same length. 60 60° -20 ft- -20 ft- -20 ft-
Draw the influence line for the force in member BF of the Warren truss. Indicate numerical values for the peaks. All members have the same length. -20 ft- -20 ft- -20 ft-
Draw the influence line for the force in member BC of the Warren truss. Indicate numerical values for the peaks. All members have the same length. 60° 60° E200t201- -20 ft- -20 ft- -20 ft-
Draw the influence line for (a) The moment at B, (b) The shear at C, and (c) The vertical reaction at B. Solve Prob. 67 using the Muller-Breslau principle. 4 m 4 m 4 m
Draw the influence line for the force in member AL. K Н 3 m A IC |F -4 m--4 m--4 m--4 m--4 m-l-4 m- |B
Determine the shear and moment throughout the beam as a function of x. 8 kN 8 kN 4 kN 1 m- 1 m boo
A uniform live load of 250 lb/ft and a single concentrated live force of 1.5 k are to be placed on the floor beams. Determine (a) The maximum positive shear in panel AB, and (b) The maximum
The beam is used to support a dead load of 500 lb/ft, a live load of 2 k/ft, and a concentrated live load of 8 k. Determine (a) The maximum positive (upward) reaction at A, (b) The maximum
The beam is used to support a dead load of 400 lb/ft, a live load of 2 k/ft, and a concentrated live load of 8 k. Determine (a) The maximum positive vertical reaction at A, (b) The maximum
The beam is used to support a dead load of 0.6 k/ft, a live load of 2 k/ft and a concentrated live load of 8 k. Determine (a) The maximum positive (upward) reaction at A, (b) The
The beam supports a uniform dead load of 0.4 k/ft, a live load of 1.5 k/ft, and a single live concentrated force of 8 k. Determine (a) The maximum positive moment at C, and (b) The maximum
A uniform live load of 300 lb/ft and a single live concentrated force of 1500 lb are to be placed on the beam. The beam has a weight of 150 lb/ft. Determine (a) The maximum vertical reaction at
The beam supports a uniform dead load of 500 N/m and a single live concentrated force of 3000 N. Determine (a) The maximum positive moment at C, and (b) The maximum positive shear at C.
The beam is subjected to a uniform dead load of 1.2 kN/m and a single live load of 40 kN. Determine (a) The maximum moment created by these loads at C, and (b) The maximum positive shear at
Draw the influence lines for (a) The vertical reaction at A, (b) The vertical reaction at B, (c) The shear just to the right of the support at A, and (d) The moment at C. Assume
Draw the influence lines for (a) The vertical reaction at A, (b) The vertical reaction at B, (c) The shear just to the right of the support at A, and (d) The moment at C. Assume
Draw the influence lines for (a) The vertical reaction at A, (b) The shear at C, and (c) The moment at C. Solve Prob. 611 using Muller-Breslaus principle.
Draw the influence line for the force in member JI. K Н Пвосер 3 m в |D -4 m--4 m--4 m--4 m--4 m--4 m- -в-19
Draw the influence line for the force in (a) Member EH and (b) Member JE. L. к Н 3 m IC |D -4 m--4 m--4 m- |F E4 m--4 m--4 m- т
Draw the influence line for the force in member DK. L K A 1.5 m B E F -2 m-2 m- -2 m-2 m- -2 m-2 m-
Draw the influence line for the force in member JK. Н K 1.5 m D| -2 m--2 m- – 2 m -2 m- -2 m 2 m
Draw the influence line for the force in member CD. Н K 1.5 m DI B -2 m-2 m- 2 m -2 m - - 2 m – -2 m- m
Draw the influence line for the force in member JE. K Н 8 ft A, font's |C G] |B – 8 ft8 ft --8 t - - 8 ft-
Draw the influence line for the force in member KJ.
Draw the influence line for the force in (a) Member JI, (b) Member IE, and (c) Member EF. K Н 550. 8 ft l0ва 880 lo0880 A 8800 fonfonfonFonT F 6 ft--6 ft -+ 6 ft- 6 ft-+6 ft -6 ft -
Draw the influence line for the force in (a) Member KJ and (b) Member CJ. Н 8 ft lo0880 JoBo Pon- Fonfont F 6 ft--6 ft – 6 ft- - 6 ft--6 ft
A uniform live load of 1.75 kN/m and a single concentrated live force of 8 kN are placed on the floor beams. If the beams also support a uniform dead load of 250 N/m, determine (a) The maximum
A uniform live load of 6.5 kN/m and a single concentrated live force of 15 kN are placed on the floor beams. If the beams also support a uniform dead load of 600 N/m, determine (a) The maximum
Draw the influence line for the shear in panel CD of the girder. Determine the maximum negative live shear in panel CD due to a uniform live load of 500 lb/ft acting on the top beams. 8 ft 8 ft - 8
A uniform live load of 0.2 k/ft and a single concentrated live force of 4 k are placed on the floor beams. Determine (a) The maximum positive shear in panel DE of the girder, and (b) The
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