Answered: For the simply supported beam subjected…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

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 = 19.5 kips/ft, a=6.0 ft, and b=21.5 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.

Calculate the reaction forces B_y and C_y 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_x = 0, it has been omitted from the free-body diagram.)

Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, M_{max, pos}, the maximum negative bending moment, M_{max, neg}, and their respective locations, x_{max, pos} and x_{max, 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:

M_{max, pos} =	kips-ft, ,	x_{max, pos} =	ft
M_{max, neg} =	kips-ft,	x_{max, neg} =	ft

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 w = 19.5 kips/ft, a=6.0 ft, and b=21.5 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.
B
C
a
b
Calculate the reaction forces By and C, 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 By = 0, it has been omitted from the free-body diagram.)
- B
C
a
b
B,
Cy

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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