PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 47P
Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P = 6001b, a = 5ft, b = 7ft.
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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.2 m, b = 4.4 m, c = 3 m, P = 16 kN, w = 34 kN/m, and Q = 26 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally:(a) Determine V and M in the beam at a point located 0.65 m to the right of B.(b) Determine V and M in the beam at a point located 1.40 m to the left of C.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 3.8 m, b = 7.6 m, c =
5.1 m, P = 11 kN, w = 41 kN/m, and Q = 29 kN. Label all significant points on each diagram and identify the maximum shear force and
bending moment along with their respective locations. Additionally:
(a) Determine V and M in the beam at a point located 0.50 m to the right of B.
(b) Determine V and M in the beam at a point located 1.15 m to the left of C.
Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your
shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the
magnitudes of the largest positive and largest negative values are the same, enter a positive number.
В
a
b
Answer:
Vmax
kN
Mmax
kN•m
(a) Vx1=
kN
Mx1 =
kN•m
(b) Vx2 =
kN
Mx2 =
kN•m
SHEAR AND MOMENT DIAGRAM
PROBLEM 2
Use the AREA method to construct the shear-force and bending-moment diagrams for
the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all
significant points on each diagram and identify the maximum moments (both positive
and negative) along with their respective locations. Clearly differentiate straight-line and
curved portions of the diagrams. Determine the maximum shear force and bending
moment in the beam.
Note that answers may be positive or negative. Here, "maximum" refers to the largest
magnitude value, but you should enter your shear force and bending moment with the
correct sign, using the sign convention. If the magnitudes of the largest positive and
largest negative values are the same, enter a positive number. The roller at
point D indicates that motion is restricted both up and down, and the beam will not lift
off the roller.
a
B
W
b
O
D
X
Chapter 7 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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- SHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b C D Xarrow_forwardDraw the shear force diagram for the following beamarrow_forwardFor the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. Let a=4.00 m, b=5.25 m, c= 2.50 m, P = 26kN and M = 160kN-m. Construct the shear-force and bending-moment diagrams. Use the bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg.arrow_forward
- 3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00arrow_forwardDraw the shear diagram for the beam. Set Mo = 500 N⋅m, L = 8 m. Draw the moment diagram for the beam. Set Mo = 500 N⋅m, L = 8 m.arrow_forwardPlot the shear and moment diagrams for the beam subjected to the concentrated force and distributed load. Then answer the questions to check your work. Assume w₁ = 3.1 kN/m, w2 = 2.0 kN/m, F = 8.0 kN, a = 13 m, b = 3m. W A Questions: k W = Wo - kx³/2 F พ, B b- -x When x = 4.2 m, V = KN M= i kN-m When x = 14.9 m, V = kN M= <- d kN-marrow_forward
- For the beam and loading shown, write the equations for the internal shear force V and bending moment M as a function of x and then draw the shear and moment diagrams. Also, state the values of the internal shear force and bending moment at x = 1.4 m and x = 4.9 m. [Answer: At x = 1.4 m, V = 8.51 kN and M = -23.5 kN m and at x = 4.9 m, V = 2.93 kN and M = -2.77 kN m]arrow_forwardConstruct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answer the questions. *+ °m = m- 4.7 kN/m 2.0 kN/m B 4.6 m Questions: At x = 1.1 m, V = kN, M= i kN-m Atx = 3.8 m, V= kN, M= kN-m The absolute value of the maximum shear force Vmax= at x kN, i i is The absolute value of the maximum bending Mmax at x kN-m, i moment is Earrow_forwardDraw the shear force and bending moment diagram for the loaded simply supported beam as shown below. Also, mark all salient points of shear force and bending moment values in the diagram with proper units. where F1=50 N, F2=50 N, F3=40 N/m, X1=4 m, X2=4 m, X3=4 m, X4=3 m, X5=4 marrow_forward
- 10 lb/ft B 5 ft 3 ft Ay = 25 lb By = 25 lb %3Darrow_forwardThe figure below shows a horizontal beam of uniform cross-section, rigidly built-in at each end and having a 10 m long clear span. The beam is loaded as shown. Draw the shear force and bending moment diagrams and determine the point(s) of contraflexture. 40 kN 32 kN 32 kN 40 kN 25 kN/m 2 m 2 m 2 m 2 m 2 marrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Determine the bending moment acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5 mWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kN-m.(b) M = kN-m.(c) M = kN-m.(d) M = kN-m.arrow_forward
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