Sidesway is prevented for the beam-column shown in the Fig. P11-17. If the first-order momen ts shown are about the x axis, select the lightest W8 if it consists of Fy = 50 steel. Assume C₁ = 1.0
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- The spliced joint of the bottom chord in a bridge truss shown in the figure below is connected with 19 mm diameter bolts in standard holes. The plate material is A36 (Fy = 248 MPa, Fu = 400 MPa) steel. Assuming that the bolts are satisfactory and that block shear does not govern, determine the available tensile strength of the plates. a) LRFD b) ASD 64 mm 64 mm 64 mm 64 mm 76 mm 76 mm 305 mm 76 mm 8 mm plate 12mmplateH.W4: a- A copper bar is 900 mm long and circular in section. It consists of 200 mm long bar of 40 mm diameter, 500 mm long bar of 15 mm diameter and 200 mm long bar of 30 mm diameter. If the bar is subjected to a tensile load of 60 kN, find the total extension of the bar. Take E for the bar material as 100 GPa. b- A stepped bar ABCD consists of three parts AB, BC and CD such that AB is 300 mm long and 20 mm diameter, BC is 400 mm long and 30 mm diameter and CD is 200 mm long and 40 mm diameter. It was observed that the stepped bar undergoes a deformation of 0.42 mm, when it was subjected to a compressive load P. Find the value of P, if E = 200 GPa.Problem 9.56 The C83400-red-brass rod AB and 2014-T6-aluminum rod BC are joined at the collar B and fixed connected at their ends. The cross-sectional area of each member is 1130 mm There is no load in the members when T= 10°C (Eigure 1) Figure 1 of 1
- 7 7a 7b 7c Alaterally supported beam was designed for flexure. The beam is safe for shear & deflection. The most economical section is structural tubing however the said section is not readily available at the time of the construction. If you are the engineer in charge of the construction what alternative section will be the best replacement? Why? The section is 8" x 8" x 7.94 mm thick: Use Fy=248 MPa: E=200,000 MPa AISC wall thickness Ix 106 S x 103 Jx 103 mm4 mm3 mm4 rx =ry Area Ag (mm2) mm Designation Weight/m 8x8 7.94 47.36 6,039 79.25 37.84 371.99 60.35 expla'n briefly your cho'ce. (transform your comparative analys's 'nto a narative form to support your cho'ce) 8x8 14.29 80.61 10,258 76.2 59.52 585.02 99.06 8x8 72.7 9,290 76.96 54.53 539.13 90.32 8x8 9.53 56.09 7,161 78.48 44.12 432.62 70.76 mm 12.7 Zx 103 mm3 437.53 714.48 650.57 512.92An I-section with two cover plates is used as tension member and is subjected to a load of 120 t over a length of 16 m. If the allowable tensile stress is 15000 kg/cm², is the member design safe? If 9821.6 cm4, so, find the factor of safety. Use ISWB 300@ 48.1 kg/m, A = 61.33 cm², Ixx Ivy 990.1 cm4. There are two rows of fasteners in each flange, thus making atleast two holes in one section. The fastener diameter is 22 mm, cover plate size 260 mm x 8 mm, flange thickness of l-section = 10 mm. The center of fastener is located at 60 mm from center line of the l-section. = =A built-up section shown, 30 feet long, is fixed at both ends and braced in the weak direction at the midheight. A992 steel is used. Determine the following: 11. Ix 12. Ky 13. effective slenderness ratio 14. Fe 15. LRFD design strength 16. ASD allowable strength 18 4 W10 × 49 A 14.4 in² bf 10 in d. 10 in tw 0.340 in tf 0.560 in Ix= 272 in¹ Iy=93 4in¹ W10×54 A 15-3 in² bf 10 in d = 10 lin tw0-370 in tf 0.615 in Ix= 303 in 4 Ty = 103 in 1
- A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.Determine the safe load of the column section shown, if it has a yield strength of 25 MPa. E = 200000 MPa. Use NSCP Specifications. Fyz248 mpa Properties of Channel Section d = 305 mm t₂ = 7.2 mm A = 3929 mm² t₁ = 12.7 mm Ix=53.7 x 10mm¹ x = 117 mm Properties of W 460 x 74 A = 9450 mm² b = 190 mm ly= 1.61 x 10 mm x = 17.7 mm tw = 9.0 mm rx = 188 mm ry = 41.9 mm d = 457 mm tr = 14.5 mm Ix = 333 x 10 mm Iy = 16.6 x 10mm* 7.21 When the height of column is 6 m. When the height of column is 10 m. Assume K= 1.0 457 CIVIL ENGINEERING- STEEL DESIGNA 76 mm x 76 mm x 6 mm angular section is welded to an 8-mm thick gusset plate as shown. The angular member is A36 steel with Fy = = 248 MPa and Fu = 400 MPa. The electrode used is E60 with Fu = 414 MPa. The cross sectional area of the angle is 929 mm2. L76×76×6 gusset plate 65 mm 125 mm P Compu te the value of P based on the gross area? Determine the value of P based on the net area if the strength reduction coefficient is 0.85? Determine the value of P based on block shear in the gusset plate along the weld?
- Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.71 in and an elastic modulus of 2050 ksi. Bar (2) has a cross-sectional area of 1.019 in? and an elastic modulus of 3910 ksi. Assume L-20 in. Lyn47 in. Q-6 kips. P-3.6 kips, and R-13.2 kips. Determine the horizontal deflection of end Crelative to end A. (1) (2) Answer: UCIA - in.2- A 2m COPPER BAR SUBJECTEO TO A TENSILE IS SUSPENDED FROM A LOAD IBO KN SUPPORTED BY TWO IDENTICAL PIN THAT S pOSIS AS SHON OF THE LOWER AFPLIED TENSILE POSTS SUPPORT THE STEEL DETERMINE THE TOTAL DEFORMATION END OF THE LOAD HINT: NOTE THAT THE STEEL PIN WHERE THE COFPER BAR IS ATTACHED. COPPER BAR DUE TO STEEL POST L=0.5m A= 4500mm E- 200GPA COPFER BAR L- am A= 4800 Mn E- l20 GPa 180KNSidesway is prevented for the beam-column shown in the Fig. P11-17. If the first-order momen ts shown are about the x axis, select the lightest W8 if it consists of Fy = 50 steel. Assume Cb = 1.0