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Subject: STRENGTH OF MATERIALS (Civil Engineering)
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- A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.00 in. and a wall thickness of 0.223 in. is fastened to a solid 1.75-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=13 kips, L1=4 ft, L2=6 ft, and L3=6 ft. Determine(a) the stresses in all parts of the axial structure.(b) the deflections of joints B and C.e. Calculate "P" in KN considering failure on bearing on block shear Two A36 16mm Thick Steel Plates Are Connected By Four Rivets With Fv=152 MPa As Shown. Given: Rivet Dia 20 mm x=100 mmA flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in diameter and 6 bronze bolts on a concentric bplt circle 200 mm. in diameter. What are the sizes of bolts diameters for steel and bronze, if the torque applied is 6,000 N-m and without exceeding the stress of 60 MPa in the steel and 40 MPa for the bronze? The ratio of the bolt diameter db / ds = 0.50. For steel, use Gs = 83 GPa and for bronze, Gb = 28 Gpa.
- A flanged bolt coupling consists of six - ½ inch steel bolts evenly spaced around a bolt circle of 12 inch in diameter, and four – ¾ inch aluminum bolts on a concentric bolt circle 8 inches in diameter. With an applied torque of 260 kips*inch. determine the max shearing stress in the aluminum and steel bolt. Use Gst = 12x10 6 psi and Gal = 4x106 psiA flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in diameter and 6 bronze bolts on a concentric bolt circle 200 mm. in diameter. What are the sizes of bolts diameters for steel and bronze, if the torque applied is 6,000 N-m and without exceeding the stress of 60 MPa in the steel and 40 MPa for the bronze? The ratio of the bolt diameter db / ds = 0.50. For steel, use Gs = 83 GPa and for bronze, Gb = 28 Gpa.1. For the riveted connection shown in the figure using elastic analysisa. Determine the safe value of P if the allowable shearing stress of 25mm rivets is 150MPab. Determine the maximum shearing stress that can be develop in the rivet for a given load ? = 52??c. Determine the minimum shearing stress that can be develop in the rivet for a given load ? = 52?N
- Given the following allowable stresses:• 50 MPa for shear in rivets• 100 MPa for bearing between a plate and a rivet• 80 MPa for tension in the platesNOTE: Draw FBD(a) If we increase the diameter of each bar to 20 mm, determine the maximum load Pthat can be applied to the lap joint.(b) Using the value computed for maximum load P from (a) compute for the over-allfactor of safety given that the actual P= 20kN.Determine the smallest diameter (mm) that can be used in the clevis shown in the figure below if P = 451 kN. The shearing stress of the bolt is 320 MPa. Final answer should have 2 decimal places.What is the minimum required bolt diameter (mm) at C ifthe allowable bolt shear stress is 68 Mpa.a. 9 mm c. 11 mmb. 10 mm d. 12 mm Determine the stress (Mpa) in strut BC.a. 5.6 MPa c. 3.2 MPab. 2.8 MPa d. 6.4 MPa Calculate the bolt stress (Mpa) at A if its diameter is 20mm.a. 7.64 MPa c.11.46 MPab. 3.82 MPa d.14.92 MPa
- Prob 01: An 18” depth beam is bolted to a 24” depth girder is connected similar to that in figure shown below. Thediameter of the rivet is 20mm and the angles are each 100mm x 100mm x 12mm thick. For each bolt, assume thatthe allowable bearing stress is 220 MPa. Determine the allowable load P in KN on the connection. *show all theload P in kN for bearing stressBeam web thickness = 5mmGirder web thickness =4. The plate shown in the figure is fastened to thefixed member by seven 10-mm-diameter rivets.Compute the value of the loads P so that theaverage shearing stress in any rivet does notexceed 70 MPa.A W 12 X 35 steel cantilever beam is subjectedto an axial load P =10 kips and a transverse loadV =15 kips. The beam has length L = 6 ft. (a) Calculatethe principal normal stresses and the maximumshear stress for an element located at C near the fixedsupport. Neglect the weight of the beam. (b) Repeat Parta for point D which is 4 in. above point C (see figure).See Table F-1(a), Appendix F, for beam properties.