{"id":153390,"date":"2023-07-29T11:42:01","date_gmt":"2023-07-29T06:12:01","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153390"},"modified":"2023-07-29T11:42:07","modified_gmt":"2023-07-29T06:12:07","slug":"consider-the-pin-jointed-plane-truss-shown-in-the-figure-not-drawn-to-scale-let-rp-rq-and-rr-denote-the-vertical-reactions-upward-positive-applied-by-the-supports-at-p-q-and-r-respectively","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-the-pin-jointed-plane-truss-shown-in-the-figure-not-drawn-to-scale-let-rp-rq-and-rr-denote-the-vertical-reactions-upward-positive-applied-by-the-supports-at-p-q-and-r-respectively\/","title":{"rendered":"Consider the pin-jointed plane truss shown in the figure (not drawn to scale). Let RP, RQ, and RR denote the vertical reactions (upward positive) applied by the supports at P, Q, and R, respectively"},"content":{"rendered":"\n

Q. Consider the pin-jointed plane truss shown in the figure (not drawn to scale<\/em>). <\/em>Let RP<\/sub>, RQ<\/sub>, <\/em>and RR<\/sub> <\/em>denote the vertical reactions (upward positive) applied by the supports at P, Q, and R, respectively, on the truss. The correct combination of (RP<\/sub>, RQ<\/sub>, RR<\/sub><\/em>) is represented by<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

(A) (30, <\/strong>–<\/strong>30, 30) kN<\/strong><\/p>\n\n\n\n

(B) (20, 0, 10) kN<\/p>\n\n\n\n

(C) (10, 30, -10) kN<\/p>\n\n\n\n

(D) (0, 60, -30) kN<\/p>\n\n\n\n

Ans: (30, -30, 30) kN<\/strong><\/p>\n\n\n\n

Solution:<\/p>\n\n\n\n

The correct option is\u00a0C<\/strong>\u00a0(30, -30, 30) kN<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u2211FH=0
F = 0 … (i)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u2211FV=0
P = 30 ….(ii)

\u2211FH=0
F2=F3\u00a0….(iii)
F2\u00d73+30\u00d73\u2212F3\u00d71=0
F2\u00d73\u2212F2\u00d71+90=0
2F2=\u221290
F2=\u221245
\u21d2\u00a0F3=\u221245<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Q + R = 0…(iv)
F3\u00d72+R\u00d73=0
-45 \u00d72+R\u00d73=0
R = 30 \u21d2 Q =-30<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. Consider the pin-jointed plane truss shown in the figure (not drawn to scale). Let RP, RQ, and RR denote the vertical reactions (upward positive) applied by the supports at P, Q, and R, respectively, on the truss. The correct combination of (RP, RQ, RR) is represented by (A) (30, –30, 30) kN (B) (20, […]<\/p>\n","protected":false},"author":419,"featured_media":153416,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-153390","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153390","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153390"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153390\/revisions"}],"predecessor-version":[{"id":153417,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153390\/revisions\/153417"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153416"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}