Question

Problem 4 (3pts) The beam AB is supported by a single-shear pin connection at joint A and by a double-shear connection to member (1) at joint B. Member (1) is connected to the support at C with a double-shear pin connection. Member (1) has a cross-sectional area of 100 mm and a yield strength of 340 MPa. The pins at A, B, and C each have a diameter of 12 mm, and an ultimate shear strength of 270 MPa. Specifications call for a minimum factor of safety in member (1) of 1.67 with respect to its yield strength. The minimum factor of safety required for pins A, B, and C is 2.5 with respect to the pin ultimate shear strength. Determine the max, allowable distributed load w, in kN/m, that may be applied to the beam AB. Use dimensions of a = 2.8 m, b = 1.0 m, and c = 1.2 m.

Answer 1

Given, Beam and dta. of pin 2m utimate shea stren Fuctur of saf f sheay= 2S 2.8m So pemssible she 08 HPa Stess M pih- Jao UHimateield strenyt -fr Mewmby Facter of Safet fr mewbe = 340MP4 -204MP So pamissble sic stoergtu foee bocty liagan Ay Ax 1-2m 2.8m o (2.9)= 2.80 2-0 Ayt Cy AxCx -G(a)e) 12 Cy- 3.2Cy t 3.92020 --i") P Concideniny iyht sŁ PsD Omet abot cC) =GE] _q/, So at B moment is zer om .2 put 2 3-8(129) +342w-0 Cy360 36 Lo 12x

Ay-C Ay AstG 2-9 A 28w- 36 io 3S 3S So Reaciun at A JEt AA Peaction at A this he resisted by pin A sink She So Stress pemissible Nous Reactin at c= JG4 E Readion tC this be esisted by 3839 N ph tu double jhee So emisside stuess )x double shea, hoea) 33 lot 2xCe on nce thene is no at pin Beneactun will be sqme a C doube Shcay with And theet t» Cheek on the basis of Compressive load M m embe). So Noneed tp Nous १ 3839kN that is penissible gid stres) X o mme) X (00 mn Cooss ane Load 1-369x 14.71 ENAM Naw select the leastvalve of o -> pvevnttilure