Question

PROBLEM 2: 40% A 6 kN force is exerted on the frame which has the T cross sectio analyze the states of stress at a section taken at 800 mm from the point of n shown below. It is required to 1. For the given T cross section, find the centroid and the area moment of inertia I,. 2. Draw the free body diagram of the free end of the frame and determine the interna loadings at the centroid of section AB. it on a differential cubic element. Determine the state of stress at p Determine the state o stres at point Alocaed at the lower surfice of the frame and draw ated at the lower surface of the frame and draw int A loc oint B located at the flange-web junction, just in the web, 4. 5. 6. and draw it on a differential cubic element. Draw Mohr's circle that describes the state of stress at point B and hence determine the principal stresses and the maximum in-plane shear stress. Determine the orientations of the principal planes and the orientations of the maximum in-plane shear stress at B. 800 mm 300 mm 150 mm 12 mm 130 mmm 15 mm 6 kN

Answer 1

Soo For given cYoss-sec linn Cenlvoi 2 99.08 mm. (B) ( 13c) (13 .os) 3 3-1935 m 3-1935 x lo' Soo mm -N ◆ 6Sirn@ = O

At point A Namal stress ce mk ike -99-o8 xo -16-372 MPa. shean stress a A Here ue to shai face ee -과 LÚ a Point B. due bendinq moment 130-99-o8- 3o.9 mn MMY -5-2 o.xlo

du I5o VQ y ะ distance w Cordreids ๘.kful apea y: 1.36-99.08 ะ 36-92 mm 3 MPa 정.= 0.6G 59 --o.96 + 5-1093 4-1493 MPa o-66 MPa 4493 Mf s).af B. 医+«g Centre ot Mohr's Cide C: from AAAC Radius ot ardle (o-665) 2

O-65j tan28p1- 4.-493-2.07%S 29sニ 90-2(8.877