HomeworkA timber beam AB of length L and rectangular cross section carriesa single concentrated load P at its midpoint C. (a) Show that the ratioTm/Tm of the maximum values of the shearing and normal stresses inthe beam is equal to h/2L, where h and L are, respectively, the depthand the length of the beam. (b) Determine the depth h and the widthb of the beam, knowing that L = 2 m, P = 40 KN, T, = 960 kPa,and om = 12 MPa.m· L/2C- L/2·AВ HomeworkA timber beam AB of length L and rectangular cross section carriesa single concentrated load P at its midpoint C. (a) Show that the ratioTm/Tm of the maximum values of the shearing and normal stresses inthe beam is equal to h/2L, where h and L are, respectively, the depthand the length of the beam. (b) Determine the depth h and the widthb of the beam, knowing that L = 2 m, P = 40 KN, T, = 960 kPa,and om = 12 MPa.m· L/2C- L/2·AВ

From bending moment equation, bending stress is given by:-σb=MyI where,M=bending momenty=distance of…

A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Tm/0m of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 2 m, P = 40 kN, 7m = 960 kPa, and om = 12 MPa. |P L/2 - C L/2 A В

A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Tm/0m of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 2 m, P = 40 kN, 7m = 960 kPa, and om = 12 MPa. |P L/2 - C L/2 A В

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

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Question

Homework
A timber beam AB of length L and rectangular cross section carries
a single concentrated load P at its midpoint C. (a) Show that the ratio
Tm/Tm of the maximum values of the shearing and normal stresses in
the beam is equal to h/2L, where h and L are, respectively, the depth
and the length of the beam. (b) Determine the depth h and the width
b of the beam, knowing that L = 2 m, P = 40 KN, T, = 960 kPa,
and om = 12 MPa.
m
· L/2
C
- L/2·
A
В

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Step 1 Expression of maximum shear stress and maximum normal bending stress in the beam.

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