From the given figure which of the following is/are correct? a. DFAB = DFCB b. FEMAB = FEMBA c. DFBA = DFBC d. FEMBC FEMCB A 5KN/m 5m B 2m 10 KN 3m C
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- 13/13 FOR THE RIGID BEAM SHOWN BELOW FIND THE STRESS IN ALUMNUM ROD Steel Rod Est= 200 kN/mm? A ST=200 mm? Aluminum Rod Ealu= 70 kN/mm Aalu=300 mm? Lst= 4 m A Lalu= 2 m 4 M 8 M 50 kN 223 MPa 15 MPa 52 MPa 44 MPa1. Show that: GE (a) k = 9G-3E 3k-2G (b) v = 6k+2GQ5 A specimen of magnesium having a rectangular cross section of dimensions (3.2 mm X 19.1 mm) and gage length 63.5 mm is deformed in tension. Using the load-elongation data tabulated as follows load (N) and Extension (mm), Find the standard mechanical properties. load 1380 2780 5630 7430 8140 9870 12850 | 14100 14340 13830 12500 Ext. 0.03 0.06 0.12 0.2 0.25 0.64 1.91 3.18 4.45 5.72 6.99 a) Draw the stress strain curve. b) Find the young modulus. c) Find the proof stress d) Find the ultimate tensile strength. e) Find the fracture stress f) Find the maximum strain.
- A1 Find the stress in each cord of the system shown in fig. below if the cross section area of each cord is ?450 mm2 ELL 111111 45 2 750 B W =90 KNTo reinforce a column in an existing structure, two channels are welded to the W 12 x 50 column section as shown in the figure. Effective length of column with respect to each axis is 4.8 m. Kx = Ky = 1.0 Properties of W12 x 50 A = 9484 mm2 rx = 131.57 mm ry = 49.78 mm Ix = 164 x 106 mm4 Iy = 23 x 106 mm4 Fy = 345 MPa d = 309.63 mm Properties of C6 x 13 A = 2471 mm2 Ix = 7.24 x 106 mm4 Iy = 0.44 x 106 mm4 bf = 54.79 mm x = 13.06 mm (centroid from the outer side of the web) a. Determine the critical slenderness ratio. b. Determine the design strength of the column section. (kN in LRFD)Given: Na=1.3, Nv=1.6, Z=0.4, Ca=0.44, Cv=0.96, R=6.5, I=1.5, hn=65
- FN= 119 kips, SN= 93 lbThe beam is made from a material that can safely support a tensile or compressive stress of 350 MPa. a) Based on this criterion, determine the largest force, F, the beam will safely support if it has the cross- section (a). b) What is the largest allowable F for cross-section (b) Recall for a rectangle: I = bh³/12 1.0 m- 60 mm 23.3 mm Figure 1 Cross-section (a) -0.63- 10 mm 10 mm 40 mm 10 mm -50 mm - Figure 2 Cross-section (b)e2 a h a The profile above depicts two joined profiles, each of width h. Find the centroid, X, of the total profile given that a = 145 (mm) h = 10 (mm) ts.) What is X;? (The gi component of the centroid, in mm) What is X2? (The e2 component of the centroid, in mm)
- Problem 3- 114 A cube of dimension L arnd sp. gr. 0.82 floats horizontally in water. Is the cube stable? Ans. StableThe beam shown in figure carries a concentrated load of w and total u.d.l load of 8 w , determine the maximum safe value w that will not exceed allowable stresses Segma 1 = 18 Mpa , Segma 2 = 64 Mpa tau = 12 MpaFig shows the bar subjected to a tensile load of 50 kN find: (i) the diameter of the middle portion if the stress is limited to 130MN/m² (ii) the length of the middle portion if the total elongation of the bar is 0.15 mm, take E-200 GN/m². 50 kN d X 250 mm 40 dia mm → 50 kN