{"id":1316,"date":"2021-05-16T15:34:05","date_gmt":"2021-05-16T15:34:05","guid":{"rendered":"https:\/\/people.utm.my\/arazin\/?p=1316"},"modified":"2021-05-16T15:53:29","modified_gmt":"2021-05-16T15:53:29","slug":"1316","status":"publish","type":"post","link":"https:\/\/people.utm.my\/arazin\/2021\/05\/16\/1316\/","title":{"rendered":"Library of Codes for Finite Elements"},"content":{"rendered":"

[et_pb_section fb_built=”1″ _builder_version=”4.9.2″ _module_preset=”default”][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]Bar | [\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]k1 = E*A\/L * [1 -1 ; -1 1]
\nr1 = [q*L\/2 ; q*L\/2][\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]Beam | [\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]ka = 12*E*I\/L^3
\nkb = 6*E*I\/L^2
\nkc = 4*E*I\/L
\nkd = 2*E*I\/L
\nk1 = [ ka kb -ka kb;
\n kb kc -kb kd;
\n -ka -kb ka -kb;
\n kb kd -kb kc]
\nq1 = [q*L\/2; q*L^2\/12; q*L\/2; -q*L^2\/12][\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]<\/p>\n

Truss |\u00a0<\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]<\/p>\n

c = cos(B); s = sin(B);
k1 = E*A\/L* …
[c^2 c*s -c^2 -c*s;
c*s s^2 -c*s -s^2;
-c^2 -c*s c^2 c*s;
-c*s -s^2 c*s s^2]<\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]<\/p>\n

Frame |\u00a0<\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]<\/p>\n

ka = EA\/L
kb = 12*EI\/L^3
kc = 6*EI\/L^2
kd = 4*EI\/L
ke = 2*EI\/L
k1p = [ka 0 0 -ka 0 0;
0 kb kc 0 -kb kc;
0 kc kd 0 -kc ke;
-ka 0 0 ka 0 0;
0 -kb -kc 0 kb -kc;
0 kc ke 0 -kc kd]<\/p>\n

c = cosd(B); s = sind(B);
T = [c s 0 0 0 0;
-s c 0 0 0 0;
0 0 1 0 0 0;
0 0 0 c s 0;
0 0 0 -s c 0;
0 0 0 0 0 1];<\/p>\n

k1 = T’*k1p*T<\/p>\n

q1p = [0 q*L\/2 q*L^2\/12 0 q*L\/2 -q*L^2\/12]’
q1 = T’*q1p<\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]Buckling | [\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]kg1 = 1\/(30*L) * …
\n [36 3*L -36 3*L;
\n 2*L 4*L^2 -3*L -L^2;
\n -36 -3*L 36 -3*L;
\n 3*L -L^2 -3*L 4*L^2][\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=”4.9.2″ _module_preset=”default” column_structure=”2_5,3_5″][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”2_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”|700|||||||” text_font_size=”26px”]<\/p>\n

Free Vibration |\u00a0<\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column _builder_version=”4.9.2″ _module_preset=”default” type=”3_5″][et_pb_text _builder_version=”4.9.2″ _module_preset=”default” hover_enabled=”0″ sticky_enabled=”0″ text_font=”Courier Prime||||||||”]<\/p>\n

m1 = rho*A*L\/420 * …
[156 22*L 54 -13*L;
22*L 4*L^2 13*L -3*L^2;
54 13*L 156 -22*L;
-13*L -3*L^2 -22*L 4*L^2]<\/p>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

Bar | k1 = E*A\/L * [1 -1 ; -1 1] r1 = [q*L\/2 ; q*L\/2]Beam | ka = 12*E*I\/L^3 kb = 6*E*I\/L^2 kc = 4*E*I\/L kd = 2*E*I\/L k1 = [ ka kb -ka kb; kb kc -kb kd; -ka -kb ka -kb; kb kd -kb kc] q1 = [q*L\/2; q*L^2\/12; q*L\/2; -q*L^2\/12]Truss |\u00a0c […]<\/p>\n","protected":false},"author":6455,"featured_media":1322,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-1316","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matlab"],"_links":{"self":[{"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/posts\/1316","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/users\/6455"}],"replies":[{"embeddable":true,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/comments?post=1316"}],"version-history":[{"count":8,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/posts\/1316\/revisions"}],"predecessor-version":[{"id":1348,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/posts\/1316\/revisions\/1348"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/media\/1322"}],"wp:attachment":[{"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/media?parent=1316"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/categories?post=1316"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/people.utm.my\/arazin\/wp-json\/wp\/v2\/tags?post=1316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}