{"id":2593,"date":"2024-08-06T18:46:17","date_gmt":"2024-08-06T13:16:17","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=2593"},"modified":"2025-07-16T15:25:06","modified_gmt":"2025-07-16T09:55:06","slug":"beam-of-uniform-strength","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/strength-of-material\/beam-of-uniform-strength","title":{"rendered":"Beam of Uniform Strength"},"content":{"rendered":"

For an economical design, the section of the beam may be reduced towards the support, as bending moment decreases towards the supports. The beam may be designed such that at every section, the extreme fibre stress reaches the permissible stress. A beam so designed is called beam of uniform strength this \"Longitudinal\" can be done by.<\/p>\n

(i) Uniform width varying depth
\n(ii) Uniform depth varying width<\/p>\n

(i) Beam of constant width:<\/strong> Let width of beam is constant throughout the span, but depth of beam is variable, such that the depth of beam at a distance x from support A is dx<\/sub> and at mid span it is equal to d.<\/p>\n

Section modulus at a distance x from A is given by<\/p>\n

Zx<\/sub> = bd2<\/sup>x<\/sub>\/6<\/p>\n

\"Uniform\"<\/p>\n

(ii) Beam of constant depth:<\/strong> Let depth of beam is constant throughout the span but width of beam is variable such that the width of beam at a distance x from support A is bx<\/sub> and at mid span it is equal to b.<\/p>\n

at a distance x from A, section modulus is given by<\/p>\n

\"Beam<\/p>\n

\n
\n

Table of Contents<\/p>\nToggle<\/span><\/path><\/svg><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n