Question

Question The structural component shown is made from lengths of RHS with the cross-sectional dimensions as shown. For the loading shown determine the magnitudes of the stress components at points B and C. Sketch the state of stress at points B and C on an element representing each point (include coordinate axes for reference 40 300 100 2 kN 50 50 400 500 Side View 2 kN 1kN 40 00 5 (Centroidal moment of inertia for a rectangle, 7 = bh'/12) 80 Section details

Answer 1

Moment, M (about z-axis) due to the bovce C.C.W 2 KN In 300 250 Mz = 2 KN X 300 mm 600 KN mm jnccw MZ and, Moment about 4-axisCcuYs 50 400 I KN n Cw due to the bovce 4 My KN X 900 mm n Go VAIKN 2900 KN Mm My 100 P 2KN acts bovce axial And V 1KN shear tyansveyse k 80 n

At point B bovce, P 2XN Strer due lo Novmal 2 X103 N A A,- A 1700 mm2 9000-630o On=1.176 MPo 1700 Sives) due to M (bending Novmal she strem Snee M,is in 2) Gomprenive itis a 9c C.C.W - Mz y2 100-5o mm 70 Iz A,-100 x80 A = 9oX70 6300mm =1 + A, h 92-104 40 50 gooomn = b プ0x90 12 I, I,-1z 12 I,: I+A, h (Pavallel ants th cofem 4252 50o. 2 = bh3 A,h, I,: 6666666 67-4252500 )2 L4 = 2414166.67 mm here h,o ニ80x100 12 600 x10 x 50 = 666 6666.67 /mm2 2414166.67 - 12.43 MPa 10ad acting shear ke ve Wans verse along 2-ax:s stres due to is given shear so, VQ oc 1a0 1 moment of Q:FYst lavea 90 40 area above Par tias QA AZ Point B the here, AZ,- A t thickne at the Pind 、- 40 Gooメ40× 20)- (90×35X17ツ =17.5 mm 2 24875 mm Z- 20 mm. : 5mm 3 70X90 g0X100 12 Iy 1694166.67 -4266666.67 mmt I 257 25oo.

IXIO 24875 = 2 1694166.67x5 N/mm Z 2.94MPA Point ci- ormal stves, due to P is axial -4 9:ven by 0x P 2X10N A 1700 mm2 Cr10176MPo bending to Mn Stre it is in Compvemsion Snce due My is in cw Z 80 - 40 mm 1694166.67 mm =900x10 X40 N/mm 1694166.6 Ox -21.25 MPa +Hansverse sheav stveN is zevo since the At Point Q = 0. iS at top therehove Point at Bi state Strers C =12 43+1-176 MM 2 h2 - SK2 OxM-1.25M Pa Z 272 state at ci SHeM Ox -21 25+ 1.18 Ox=-20.07 MPo t'x