a beam of rectangular cross section .

timer Asked: Mar 2nd, 2016

Question description

a beam of rectangular cross section 200mm deep and 100mm wide .If the beam is 3m long, simply supported at either end and carries two point loads of 5kN at 1m from the left hand end and 10kN at 2m from the left hand end

 (a) Calculate the maximum bending moment

(b) Calculate the maximum stress in the beam

(c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are tensile and compressive stresses.

(d) Determine the dimensions of the cross section which will minimise the maximum stress value if:

 � the cross sectional area of the beam can be increased by 20%

� the beam section is to remain a solid rectangle

� neither the breadth or depth of the beam section can be reduced below their original dimensions. Show the dimensions of the proposed beam cross section with the aid of a sketch.

(e) Determine the percentage reduction of the maximum stress value when the new cross section is used.

Tutor Answer

(Top Tutor) Studypool Tutor
School: Boston College
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors