Questions and Answers of Fundamentals Of Structural Analysis

Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze each structure by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment in each span.
Analyze by moment distribution. Modify stiffness. \(E\) is constant. Draw the shear and moment curves. 5 kips 5 kips 5 kips -98105 A 1.51 1.5/ 15'- 47 Skips D
Analyze by moment distribution. Modify stiffness. \(E\) is constant. Draw the shear and moment curves. P = 16 kips 99 w = 4 kips/ft B 20- P = 16 kips C +99 D
Analyze by moment distribution. Modify stiffness. \(E\) is constant. Draw the shear and moment curves. 8 kips B 12 kips 6-1010- w = 2.4 kips/ft -32- D 12 kips E 8 kips 10-10-6 F
Analyze the frame in Figure P11.11 by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment
Analyze the frame in Figure P11.12 by moment distribution. Determine all reactions and draw the shear and moment curves. Given: \(E I\) is constant. 400 kip. ft B 16'- 400 kip. ft 12'
Analyze the reinforced concrete box in Figure P11.13 by moment distribution. Modify stiffnesses as discussed in Section 11.5. Draw the shear and moment curves for the top slab \(A B\). Given: \(E I\)
Analyze the frame in Figure P11.14 by the moment distribution method. Determine all reactions and draw the moment and shear curves. Given: \(E\) is constant. Fixed supports at \(A\) and \(C\). A 1 4
The cross section of the rectangular ring in Figure P11.15 is 12 in. \(\times 8\) in. Draw the moment and shear curves for the ring; \(E=3000 \mathrm{kips} / \mathrm{in}^{2}\). 6' 4 kips/ft B A 10
Analyze the frame in Figure P11.16 by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment
Analyze the frame in Figure P11.17 by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment
Analyze the frame in Figure P11.18 by moment distribution. Determine all reactions and draw the shear and moment curves locating points of inflection and labeling values of maximum shear and moment
Analyze the frame in Figure P11.19 by moment distribution. Determine all reactions and draw the shear and moment curves. Given: \(E I\) is constant. 10' 20 kips 10' D 12'
Analyze the frame in Figure P11.20 by the moment distribution method. Determine all reactions and draw the shear and moment curves. \(E\) is constant, but \(I\) varies as noted. 1.5/ 30 w = 3 kips/ft
Analyze the beam in Figure P11.21 by the moment distribution method. Determine all reactions and draw the moment and shear curves for beam \(A B C D E ; E I\) is constant. T 4 m B 50 KN E C -3m-3m- 6m
Analyze the beam in Figure P11.22.In addition to the 16-kip load, support A also rotates clockwise by \(0.001 \mathrm{rad}\) and support B settles \(\frac{1}{2}\) in. Determine the reactions and draw
If support \(A\) in Figure \(\mathrm{P} 11.23\) is constructed 0.48 in. too low and the support at \(C\) is accidentally constructed at a slope of \(0.016 \mathrm{rad}\) clockwise from a vertical
Analyze the frame in Figure P11.24 by moment distribution. Determine all reactions and draw the shear and moment curves. Given: \(E I\) is constant. 55 20 kips B n 10'- w = 2 kips/ft C E D 10'
Due to a construction error, the support at \(D\) has been constructed 0.6 in. to the left of column \(B D\). Using moment distribution, determine the reactions that are created when the frame is
What moments are created in the frame in Figure P11.26 by a temperature change of \(+80^{\circ} \mathrm{F}\) in girder \(A B C\) ? The coefficient of temperature expansion \(\alpha_{t}=6.6 \times
Determine the reactions and the moments induced in the members of the frame in Figure P11.27.Also determine the horizontal displacement of joint \(B\). Given: \(I=1500\) in. \({ }^{4}\) and \(E=3000
Analyze the structure in Figure P11.28 by moment distribution. Draw the shear and moment curves. Sketch the deflected shape. Also compute the horizontal displacement of joint \(B\). \(E\) is constant
Analyze the frame in Figure P11.29 by moment distribution. Draw the shear and moment curves. Sketch the deflected shape. \(E\) is constant and equals \(30,000 \mathrm{kips} / \mathrm{in} .{ }^{2}\).
Analyze the frame in Figure P11.30 by moment distribution. Determine all reactions and draw the shear and moment curves. Sketch the deflected shape. \(E\) is constant and equals 30,000 kips/in. \({
Analyze the Vierendeel truss in Figure P11.31 by moment distribution. Draw the shear and moment curves for members \(A B\) and \(A F\). Sketch the deflected shape, and determine the deflection at
Analyze the frame in Figure P11.32 by moment distribution. Draw the shear and moment curves. Compute the horizontal deflection of joint \(B\). Sketch the deflected shape. \(E\) is constant and equals
Draw the influence lines for the reaction at \(A\) and for the shear and moment at points \(B\) and \(C\). The rocker at \(D\) is equivalent to a roller. B C R 5'5'+ 20'- 10- D Rp
For the beam shown in Figure P12.2, draw the influence lines for the reactions \(M_{A}\) and \(R_{A}\) and the shear and moment at point \(B\). 3 m B - 2 m
Draw the influence lines for the reactions at supports \(A\) and \(C\), the shear and moment at section \(B\), and the shear just to the left of support \(C\). RA 8 m B C D Rc 6m-4m 4
(a) Draw the influence lines for reactions \(M_{A}, R_{A}\), and \(R_{c}\) of the beam in Figure P12.4.(b) Assuming that the span can be loaded with a \(1.2 \mathrm{kips} / \mathrm{ft}\) uniform load
(a) Draw the influence lines for reactions \(R_{B}, R_{D}\), and \(R_{F}\) of the beam in Figure P12.5 and the shear and moment at \(E\). (b) Assuming that the span can be loaded with a \(1.2
For the beam in Figure P12.6, draw the influence lines for reactions at \(B, C, E\), and \(G\), and moments at \(C\) and \(E\). If a uniform load of \(2 \mathrm{kips} / \mathrm{ft}\) is applied over
Load moves along girder \(B C D E\). Draw the influence lines for the reactions at supports \(A\) and \(D\), the shear and moment at section \(C\), and the moment at \(D\). Point \(C\) is located
Hoist load moves along beam \(A B\) shown in Figure P12.8.Draw the influence lines for the vertical reaction at \(C\), and moments at \(B\) and \(C\). 17 15'- B C 15'
Beam \(A D\) is connected to a cable at \(C\). Draw the influence lines for the force in cable \(C E\), the vertical reaction at support \(A\), and the moment at \(B\). 6' E B 443 D
Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. L 12' B 8' VA MB MC and Re C +4
Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. B 12 6 12'- MA, RA, Mc, and Vc (to left of support C) D
Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. B C D E 1218- 8'_ -18 12 RB VB (to left of support B).V (to right of
Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. 20' B hinge D RA RC MD and VD E 8-10 10-
Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. B C E 4m-4m4m-4m 8 m- R, RB, RF, MF VB (to left of support B), VB (to
For the girder in Figure P12.15, draw the influence lines for the reaction at \(A\), the moment at point \(B\), and the shear between points \(A\) and \(B\). A RA BC DE 4 ml-2 m-4 ml-2 m-4 ml
For the floor system shown in Figure P12.16, draw the influence lines for shear between points \(B\) and \(C\) and for the moment at points \(C\) and \(E\) in the girder. H A B C D 5 @ 24' 120' E F G
For the girder in Figure P12.17, draw the influence lines for the reaction at \(A\), the moment at point \(C\), and the shear between points \(B\) and \(C\) in girder \(A E\). B C D 8-44-88 E
(a) Draw the influence lines for the reactions at \(B\) and \(E\), the shear between \(C D\), the moment at \(B\) and \(D\) for the girder \(H G\) in Figure P12.18.(b) If the dead load of the floor
For the girder in Figure P12.19, draw the influence lines for the reaction at \(I\), the shear to the right of support \(I\), the moment at \(C\), and the shear between \(C E\). B CDE F H 202412122420
(a) For the girder HIJ shown in Figure P12.20, draw the influence line for moment at \(C\). (b) Draw the influence lines for the reactions at supports \(H\) and \(K\). H B C -3@5m D E 2.5 m 2.5 m F K
The load can only be applied between points \(B\) and \(D\) of the girder shown in Figure P12.21.Draw the influence lines for the reaction at \(A\), the moment at \(D\), and the shear to the right of
(a) The three-hinged arch shown in Figure \(P 12.22\) has a parabolic profile. Draw the influence lines for both the horizontal and vertical reactions at \(A\) and the moment at \(D\). (b) Compute
For the semi-circular, three-hinged arch \(A B C\), shown in Figure P12.23, construct the influence lines for reactions at \(A\) and \(C\), and shear, axial load and moment at \(F\). A uniform live
Load moves along the three-hinged, parabolic arch \(A B C\), shown in Figure P12.24.Construct the influence lines for the reactions at \(C\), and shear, axial load and moment at point \(D\). The
Draw the influence lines for the reactions at \(A\) and \(F\) and for the shear and moment at section 1 . Using the influence lines, determine the reactions at supports \(A\) and \(F\) if the dead
The horizontal load \(P\) can act at any location along the length of member \(A C\) shown in Figure
Draw the influence lines for the moment and shear at section 1 , and the moment at section 2 . P- B 4 m L A 3 m D -5m- T 5 m 8 m
Draw the influence lines for the reactions \(A_{x}\) and \(A_{y}\) at the left pin support and the bending moment on section 1 located at the face of column \(A B\). A B 1 Ay 24' hinge 24' E D T Ey
Load moves along girder \(B C\). Draw the influence lines for the reactions at \(A\) and the bending moment on section 1 located \(1 \mathrm{ft}\) from the centerline of column \(A B\). B 48' D 18
Draw the influence lines for the bar forces in members \(D E, D I, E I\), and \(I J\) if the live load in Figure \(\mathrm{P} 12.29\) is applied through the lower chord panel points. D K J 6 @ 15'
Draw the influence lines for the bar forces in members \(A B, B K, B C\), and \(L K\) if the live load is applied to the truss in Figure P12.29 through the lower chord. D K J 6 @ 15' 90' E H THE Laut
Draw the influence lines for \(R_{A}\) and the bar forces in members \(A D, E F, E M\), and \(N M\). Loads are transmitted into the truss through the lower chord panel points. Vertical members \(E
(a) Draw the influence lines for the bar forces in members \(H C, H G\), and \(C D\) of the truss shown in Figure P12.32.The load moves along the bottom chord of the truss. (b) Compute the force in
The load moves along the bottom chord of the truss. If the truss is to be designed for a uniform live load of \(0.32 \mathrm{kip} / \mathrm{ft}\) that can be placed anywhere on the span in addition
Draw the influence lines for bar forces in mem- The load moves along \(B H\) of the truss. bers \(C D, E L\), and \(M L\) of the truss shown in Figure
Draw the influence lines for the vertical and horizontal reactions, \(A_{X}\) and \(A_{Y}\), at support \(A\) and the bar forces in members \(A D, C D\), and \(B C\). If the truss is loaded by a
Draw the influence lines for bar forces in mem- in Figure \(\mathrm{P} 12.35\) if the live load is applied through the bers \(M L, B L, C D, E J, D J\), and \(F H\) of the cantilever truss lower
Draw the influence lines for the vertical and horizontal reactions, \(A_{X}\) and \(A_{Y}\), at support \(A\) and the bar forces in members \(A D, C D\), and \(B C\). If the truss is loaded by a
Draw the influence lines for the forces in members \(B C, A C, C D\), and \(C G\). Load is transferred from the roadway to the upper panel points by a system of stringers and floor beams (not shown).
A bridge is composed of two trusses whose configuration is shown in Figure P12.38.The trusses are loaded at their top chord panel points by the reactions from a stringer and floor beam system that
Draw the influence lines for forces in bars \(A L\) and \(K J\) in Figure P12.39.Using the influence lines, determine the maximum live load force (consider both tension and compression) produced by
(a) Load is applied to the three-hinged trussed arch in Figure P12.40 through the upper chord panel points by a floor beam and stringer floor system. Draw the influence lines for the horizontal and
Compute the absolute maximum shear and moment produced in a simply supported beam by two concentrated live loads of 20 kips spaced \(10 \mathrm{ft}\) apart. The beam span is \(30 \mathrm{ft}\).
Draw the envelopes for maximum shear and moment in a 24 -ft-long simply supported beam produced by a live load that consists of both a uniformly distributed load of \(0.4 \mathrm{kip} / \mathrm{ft}\)
Determine (a) the absolute maximum values of shear and moment in the beam produced by the wheel loads and \((b)\) the maximum value of moment when the middle wheel is positioned at the center of the
Determine (a) the absolute maximum value of live load moment and shear produced in the 50 -ft girder and (b) the maximum value of moment at midspan (Figure P12.44). Hint: For part (b) use the
Determine the absolute maximum value of live load shear and moment produced in a simply supported beam spanning \(40 \mathrm{ft}\) by the wheel loads shown in Figure P12.45. 6 kips 24 kips 12'- " -
The beam shown in Figure P12.46 is subjected to a moving concentrated load of \(80 \mathrm{kN}\). Construct the envelope of both maximum positive and negative moments for the beam. A 8 m B 80 KN D E
Consider the beam shown in Figure P12.46 without the \(80 \mathrm{kN}\) load. Construct the envelope of maximum positive shear assuming the beam supports a \(6 \mathrm{kN} / \mathrm{m}\) uniformly
Computer application. Construction of an influence line for an indeterminate beam. (a) For the indeterminate beam shown in Figure P12.48, construct the influence lines for \(M_{A}, R_{A}\), and
A simply supported crane runway girder has to support a moving load shown in Figure P12.49.The moving load shown has to be increased by an impact factor listed in Table 2.3. (a) Position the moving
Construct the influence lines for the vertical reaction at support \(A\) and the moment at support \(C\). Evaluate the ordinates at 6 - \(\mathrm{ft}\) intervals of the influence line. \(E I\) is
(a) Construct the influence lines for the moment and the vertical reaction \(R_{A}\) at support \(A\) for the beam in Figure P12.51.Evaluate the influence line ordinates at the quarter points of the
Using moment distribution, construct the influence lines for the reaction at \(A\) and the shear and moment at section \(B\) (Figure P12.52). Evaluate influence line ordinates at 8-ft intervals in
(a) Draw the influence line for the positive moment at \(B\) (Figure P12.53). (b) If the beam carries a uniformly distributed live load of \(2 \mathrm{kips} / \mathrm{ft}\) that can act on all or
Draw the qualitative influence lines for \(R_{A}, R_{B}\), \(M_{C}, V_{C}\), and shear to the left of support \(D\) for the beam in Figure P12.54.P12.55 (a) Draw a qualitative influence line for the
Indicate the spans that should be loaded with a uniformly distributed live load to maximize moment in the column. (b) Sketch the influence line for axial load in column \(A B\) and indicate the spans
The ordinates of the moment influence line at midspan \(B\) of a 2 -span continuous beam are provided at every one-tenth of the span in Figure P12.56.(a) Position the AASHTO HL-93 design truck and
(a) Draw a qualitative influence line for the reaction at support \(A\) for the beam in Figure P12.57.Using moment distribution, calculate the ordinate of the influence line at section 4. (b) Draw
Use an approximate analysis (assume the location of a point of inflection) to estimate the moment in the beam at support \(B\) (Figure P13.1). Draw the shear and moment curves for the beam. Check
Guess the location of the points of inflection in each span in Figure P13.2.Compute the values of moment at supports \(B\) and \(C\), and draw the shear and moment curves. \(E I\) is constant.Case 1:
Assume values for member end moments and compute all reactions in Figure P13.3 based on your assumption. Given: \(E I\) is constant. If \(I_{B C}=8 I_{A B}\), how would you adjust your assumptions of
Assuming the location of the point of inflection in the girder in Figure P13.4, estimate the moment at \(B\). Then compute the reactions at \(A\) and \(C\). Given: \(E I\) is constant. 15' B 10- 16
Estimate the moment in the beam in Figure P13.5 at support \(C\) and the maximum positive moment in span \(C D\) by guessing the location of one of the points of inflection in span \(C D\). Check the
Estimate the moment at support \(C\) in Figure
Based on your estimate, compute the reactions at \(B\) and \(C\). 24 KN A -3m- B 6 kN/m 12 m
The beam in Figure P13.7 is indeterminate to the second degree. Assume the location of the minimum number of points of inflection required to analyze the beam. Compute all reactions and draw the
The frame in Figure P13.8 is to be constructed with a deep girder to limit deflections. However, to satisfy architectural requirements, the depth of the columns will be as small as possible. Assuming

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