For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A) Let a-2.00 m, b-5.75 m, PA-70kN, and Pc-100kN. 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. P₁ B b Pc D Calculate the reaction forces By and Dy 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 B-0, it has been omitted from the free-body diagram.)

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...
icon
Related questions
Question
Part 1
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 a-2.00 m, b-5.75 m, PA - 70kN, and Pc- 100kN. 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.
P₁
Answers:
By-
Calculate the reaction forces By and Dy 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 B-0, it has been omitted from the free-body diagram.)
y|
PA
Dy-
By
i
B
i
B
b
kN
Pc
kN
D
Pc
D
Dy
X
Transcribed Image Text:Part 1 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 a-2.00 m, b-5.75 m, PA - 70kN, and Pc- 100kN. 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. P₁ Answers: By- Calculate the reaction forces By and Dy 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 B-0, it has been omitted from the free-body diagram.) y| PA Dy- By i B i B b kN Pc kN D Pc D Dy X
Part 2
Determine the shear force acting at each of the following locations:
(a) x-1 m
(b) x - 4 m
(c) x-8.75 m
Note that x-0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V-
(b) V-
(c) V-
i
i
i
3 3 3
KN
KN
Transcribed Image Text:Part 2 Determine the shear force acting at each of the following locations: (a) x-1 m (b) x - 4 m (c) x-8.75 m Note that x-0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V- (b) V- (c) V- i i i 3 3 3 KN KN
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Bending
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning