A steel rod, circular in cross section, tapers from 2.5 cm diameter to 1.25 cm diameter in a length of 50 cm. Find how much of this length will increase under a pull of 25 kN if E = 210 %3D GPa.
Q: A prismatic bar with a circular cross section is loaded by tensile forces P 65kN. The bar has length…
A: Given, Initial length of the bar, Li=1.75 m Initial diameter of the bar, di=32 mm=0.032 m Applied…
Q: A steel [E = 200 GPa] rod with a circular cross section is 7.5-m long. Determine the minimum…
A:
Q: 4. A 200 lb force P is exerted on the lever. What will be the deformation, in inches, in the 0.0630…
A:
Q: A compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional…
A:
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A: Given, Elastic modulus of steel, E=211MPa H1=4cm=0.04mH2=11cm=0.11m R=2×2cmQ=6×6cm…
Q: A 7.50 cm high annular copper cylinder with an inner radius of 2.00 cm and outer radius cm of 3.75…
A: Given data: L=7.5 cm=75 mm Inner Radius ri=2 cm=20 mm Outer Radius ro=3.75 cm=37.5 mm Tangential…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A: Given, H1=7cm=0.07mH2=9cm=0.09m Area of top bar R=3×3 cm=9×10-4m2Area of bottom bar…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A: Given Data: The decrease in total length is, δH= -0.68 mm. The elastic modulus of steel is, E=206…
Q: Two shafts are being connected by a coupling which is held together by four 3/4-in diameter bolts.…
A:
Q: A copper cylinder 150mm outside diameter has walls 25mm thick. End plates are stayed by a 25mm…
A:
Q: A 1 m length bar of square cross section with side length 2cm, . is fully supported at one end and…
A: To find: The maximum force that bar can sustain elastically. Given: The length of the bar is l=1 m.…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: A thin copper tube, 14 mm internal diameter and 0,5 mm wall thickness has closed ends and rotates at…
A:
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: A 1m long steel bar (E=200GPa) of 10mmx10mm dimension fixed at both ends is heated to 90°C from…
A:
Q: A steel hoop. 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm. 5. Is neated and shrunk…
A:
Q: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, is heated and shrunk onto…
A:
Q: As shown, there is a gap between the aluminum bar and the rigid slab that is supported by two copper…
A:
Q: A hollow circular column of internal diameter 20 mm and external diameter 40 mm has a total length…
A: giveninternal diameter of column d=20mmexternal diameter D=40mmtotal length L=5mE=2×105N/mm2yeild…
Q: A steel circular tube is subjected to torsion by torques T applied at the ends as shown below. The…
A: This problem is related to the torsion of the shaft. torsion, when the twisting moment is applied to…
Q: A bar of titanium alloy of length 120mm and square cross – section, 7.5 mm x 7.5 mm, is pulled…
A: Given data: The thickness of the titanium alloy is a = 7.5 mm. The elastic constant for the…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A: Given ∆LAC=0.72mmE=223 MPa=223 N/m2=223 ×10-4 N/cm2H1=LAB=7 cmH2=LBC=10 cmArea of bar AB=AAB=2×2=4…
Q: A rope 3.5 mm² breaks when a load of 50 kN is applied to it. Estimate the diameter of the same rope…
A:
Q: A rod as shown in Figure Q1 is fixed to a rigid wall at its end point A and is made of a steel tube,…
A: Answer: (i) The minimum diameter of rod d is 43.245 mm. (ii) The angle of twist of point B relative…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: A steel bar of diameter 1cm and length 10cm is made of steel E=200Gpa and yield strength of 300Mpa…
A:
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: A copper rod 6cm in diameter is placed within a steel tube, 8cm external diameter and 6cm internal…
A: Given Data The diameter of the solid copper bar is: Dcu=6 cm=60 mm The external diameter of the…
Q: A torsional moment of 1.1 kN.m is applied to a circular shaft 4 cm in diameter and 150 cm in length,…
A:
Q: "P" that will cause the total length of the member to decrease 0.66 mm the values of elastic modulus…
A:
Q: Find the maximum value of P that will not exceed a stress in steel of 113 MPa, in aluminum of 91 000…
A: Given data Limiting stress in steel (σallow)st = 113 MPa Limiting stress in aluminum (σallow)al =…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: Current Attempt in Progress A compound steel (E = 30,000 ksi) bar is subjected to the loads shown.…
A:
Q: • Example A Cu rod of length 4 m with uniform cross-sectional area hangs freely and vertically from…
A: To draw: The free body diagram of the situation and also find the deformation in the rod due to its…
Q: 3. If P= 100KN, Compute the total deformation. 1,2 m 201 60 CM 7P $=2ch $=6m E = 200 GPa = 100 GPO…
A: To find : The total deformation. Given that : The force is P=100 kN1000 N1 kN=10×104 N. The diameter…
Q: A steel bar of 50mm wide, 12mm thick and 300mm long is subjected to an axial pull of 84KN. Find the…
A:
Q: bar of dimension 120 mm x 50 mm x 40 mm, is subjected to an axial pull of 50 kN. The measured…
A:
Q: A bar of dimension 130 mm x 50 mm x 45 mm, is subjected to an axial pull of 90 kN. The measured…
A: Given data dimension of bar = 130 mm x 50 mm x 45 mm Load applied (P) = 90 kN change in length =…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A: Given data: The height of the upper beam is H1=4 cm=40 mm The height of the bottom beam is H2=9…
Q: A steel bar having 65mm*65mm*3000mm dimension is subjected to an axial force of 128 kN. Taking…
A:
Q: t (0) is 0.15°/
A: given:γmax=500×10-6 rad
Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…
A: Given: Young's modulus (E)=8.5×106N/m2Original length (L)=1.5mElongation (δ)=2.5mm or 0.0025m
Q: Q5/ Calculate the maximum stress in a round steel bar, 200 mm diameter and 15 m long. due to its own…
A: Given data: d=200 mmL=15 mρ=7.75 mg/m3 Need to determine the maximum stress in the round steel bar.…
Q: A steel pipe is part of a drilling rig to build foundation piles The outer d 2 is equal to 6 in and…
A: To obtain the magnitude of the shear force on the various fibers of the beam, we must use the pure…
Q: 2.75 A steel rod is stretched between two walls. At 20°C, the tensile force in the rod is 5000 N. If…
A:
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: A metal rod is 50 mm in diameter and 1.3 m long. The rod has a collar on one end and is suspended…
A:
Step by step
Solved in 2 steps with 2 images
- Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?A steel bar 2m long, 20 mm wide and 10 mm thick is subjected to a pull of 20 kN inthe direction of its length. Find the change in thickness. Take E-200 GPa and Poisson'sRatio 0.30A 2.4 diameter steel molding is lifted by 4 steel cables as shown. The mold weighs 3 kN/m. (a) what is the required diameter of wire that will not exceed the allowable stress of 120 MPa. and (b) if the wire diameter increase by 20%, find the vertical displacement of the molding. 24m
- Q 2 A steel flat plate of 20 mm thickness, uniformly tapers from 200 mm to 100 mm width in the a length of 500 mm. Find the extension of the plate if an axial pull of 40 kN is applied at its ends.A -in-diameter steel tension rod is 5 ft long and carries a load of 15 kip. Find the tensile stress, the total deformation, the unit strains, and the change in the rod diameter.A steel rod on a bridge must be made to withstand a pull of 6000 Ibs. Find the diameter of the rod in mm. assuming a factor of safety of 7 and ultimate stress of 62,000 psi (round off to whole number).
- PROBLEM 2A tri metallic bar is uniformly compressed by an axial force P=12kN applied through a rigid end plate. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter 10mm, the brass tube has an oute diameter of 15mm and the copper tube has an outer diameter of 20mm. E for steel =210Gpa, E for brass =100GPa and E for copper is 120GPa. Calculate the compressive stress of each metal due to force P.The one end of a hollow square bar whose side is 10.42 in with 1.42 in thickness is under a tensile stress 102,500 psi and the other end is connected with a U bracket using a pin. Find the minimum diameter of pin is used. Take oall = 243 ksi for pin material.A circular tube of aluminum is subjected to torsion by torques T applied at both end. The bar 0.5m long and the inside and outside diameters are 30mm and 40mm, respectively. It is determined by measurements that the angele of twists is 3.57 degree when the torque is 600N-m. Calculate the maximum shear stress in the tube. Calculate the shear modulus of elasticity
- An iron column of annular cross section has an outer diameter of 200mm and is subjected to a force of 74kN. Find the thickness of the wall in mm if the allowable compressive stress is 10MPa.A bar of length 5 m is subjected to an axial tensile out of 100 KN The bar is 25 min diameter for 2 mof its length 30 mm diameter for I mor its length, and 20 mm diameter for the remaining 2 m of its length, Taking E= 2 x 10' Calculate the total increase in length of the bur.A long, flat steel bar 260mm wide and 35mm thick has a circular hole 50mm in diameter, centrally located. The allowable tensile stress for the steel is 160Mpa. Calculate the axial tensile load that may be applied to the bar. TO D 3.0 (a) 2r Circular hole (b) Semicircular grooves (c) Fillets 2.8 2.6 2.4 Circular hole 2.2 II 2.0 1.8 Fillets Semicircular grooves II 1.6 1.4 1.2 1.0 0.2 0.3 0.4 0.5 rld 0.1 0.6 0.7 0.8 0.9 1.0