Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, , the maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and. Xmax, neg. . Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Answers: Mmax, pos Mmax, neg = i kips-ft,, Xmax, pos kips-ft, Xmax, neg i i ft ft

Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, , the maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and. Xmax, neg. . Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Answers: Mmax, pos Mmax, neg = i kips-ft,, Xmax, pos kips-ft, Xmax, neg i i ft ft

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

moment, Mmax, pos,
Use your shear-force and bending-moment diagrams to determine the maximum positive bending
, the maximum negative bending moment, Mmax, neg, and their respective locations,
Xmax, pos
and.
Xmax, neg.
. Use the bending-moment sign convention detailed in Section 7.2. The maximum
negative bending moment is the negative moment with the largest absolute value. Enter the maximum
negative bending moment as a negative value.
Answers:
Mmax, pos
Mmax, neg
=
i
kips-ft,, Xmax, pos
kips-ft,
Xmax, neg
i
i
ft
ft

For 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 w = 20.0
kips/ft, a=6.0 ft, and b=20.5 ft. 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.
a
A
B
a
W
Calculate the reaction forces By and Cy 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 Bx =
O, it has been omitted from the free-body diagram.)
B
b
b
X
C
X

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Step 1: Given data

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Step 2: Calculation of support reactions

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Step 3: Calculation of shear force diagram

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Step 4: Calculation of shear force diagram

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Step 5: Calculation of bending moment diagram

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Step 6: Calculation of bending moment diagram

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Step 7: Calculation of position and maximum positive magnitude of bending moment

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Step 8: Construction of Shear force and bending moment diagram

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Step 9: Location of positive and negative position with it's magnitudes

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