Title - Classification of Cross-section
Summary - Class 3 are the one which reach the yielding but doesnt allow for local yielding while Class 4 are the sections that allow for local yielding beyond the yield limit. The conditions stated above determine whether Class 3 or Class 4 exists for the cross section.
Classify the flange and web of I-section shown below in terms of compression resistance. It has...
A beam is constructed with an I-section. The dimensions of the cross-section as well as its simplified wireframe/median-line model are shown below, where the symbols, O and , represent the centroid and shear center of the I-section, respectively. Assume the flange and web thicknesses (/f./) are much b=B smaller than the width and height of the section (B.H) and define . Due to the double-symmetry of the cross-section, we have Q- O. As shown in the figures, the cross section...
A column with a wide-flange section has a flange width
b = 400 mm , height h = 400 mm , web thickness
tw = 13 mm , and flange thickness
tf = 21 mm (Figure 1). Calculate the stresses at
a point 65 mm above the neutral axis if the section supports a
tensile normal force N = 3 kN at the centroid, shear force
V = 7.4 kN , and bending moment M = 4 kN⋅m as
shown...
Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built- up beam. A built up beam can be constructed by fastening flat plates together. When an l-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must...
6.9-4 The cross section of an unbalanced wide- flange beam is shown in the figure. Derive the fol- lowing formula for the distance e from the centerline of the web to the shear center S e- check the formula for the special cases of a Also, channel section (bi 0 and ba -b symmetric beam (bl =b2 =b/2 2-b) and a doubly Ir 2 PROBLEM 6.9-4
5. For a steel girder W200x52 (see the section properties in the last page), sketch the distribution of shear stress and specified the maximum shear stress on the flange and on the web. Let the shear force is V. (10 points) 4. A single-span simply-supported beam has a span length of 5 m and is subjected to two loads (P) as shown in the figure. The beam is made of a timber reinforced with a steel plate at the bottom...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine...
The figure below shows a concentrically loaded 305BT62.5 compression member. Assumptions and Given Values . Grade 300 Steel » tf- 280 MRa fow- 300 MPa . Consider the effective length for buckling about each axis as 2.2 m Required Determine the maximum design load (N") 305BT 62.5 d - 305 mm by- 229 mm = 19.6 mm =11.9 mm r14 mm A 7970 mm2 r, 92.6 mm 49.7 mm Figure: Concentrically loaded compression member Tips: 1. To find out the...
A built-up steel member is composed of a W18 x71 wide-flange section with a 12-ir by %-in plate welded to its top flange, as shown below. Locate the XX centroidal axis. A W18 x 71 wide-flange section has an area of 14.7 in2 and a height of 18 in (Hints: (1) let A- 14.7 (the area of the flange), (2) find A2 (the area of the cover plate); (3) find yi and уг; (4) find y-bar to find the X-X...
A thin-walled beam has the cross-section shown in the figure
below. If the beam is subjected to a bending moment Mx
in the plane of the web 23:
Prob. 2 A thin-walled beam has the cross-section shown in the figure below. If the beam is subjected to a bending moment M in the plane of the web 23: h2 2t 2t 2h 1. 2. Find the section properties Find the direct stress distribution equation in the beam cross-section (15 pts)...
2. Given a simply supported beam shown in figure below with the cross section at maximum moment. The beam supports a uniform service dead load of WDL =30 kN/m (excluding own weight of beam), Pll = 270 kN. Use fc' = 30 MPa; fy = 400 MPa. Calculate design strength OMn for the cross section shown in the figure. Check the strains in the steel esi. LL , 75-40-100 -775 90 90 WOL 710 650 5030 -15000 mm