a. A steel rod of 1 cm in diameter projects (4+R) cm from the wall as shown in figure 1. If the rod is deflected by 0.222 mm from its original position, find the shearing force (F) applied to the rod. Consider the Shearing Modulus of steel is (R + 8.27) × 101ºPa. Wall ΔL F Figure 1
Q: A shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m…
A: Given Power, P = 50 kW Speed, N = 100 rpm Angle = 1.5 degree Find Diameter, d Shear…
Q: The shear stress–strain diagram for a solid 50-mm diameter shaft can be approximated as shown in the…
A:
Q: QUESTION 8 A torque T is applied on an aluminium shaft acting at the ends (see figure). The shaft is…
A:
Q: Figure 1: y P = 400 kN 30° 1000 mm A Area 30 mm 20 mm In Figure 1, the equilibrium shear force…
A: Given data :- force = 400KN find the shear force at point A.
Q: Determine the maximum shearing stress is T=40 kN-m. TABLE 3.1. Coefficients for Rectangular Bars in…
A:
Q: Determine the maximum shear force in kN in the figure below. 16 kN | 4 kN/m 20 kN 2 kN/m A D
A:
Q: aluminum tube with the cross section shown has a constant wall thickness of 2 mm. A torque T = 400…
A:
Q: A hollow shaft with outside diameter of 135 mm and wall thickness of 8 mm transmits 182 kW at 400…
A: L=5m 1psi= 6894.76 N/m2
Q: The torsional deformation of a steel shaft is to be 1° in a length of 600 mm. The design shear…
A:
Q: A steel shaft 'A' of diameter 'd' and length 'I' is subjected to a torque T Another shaft 'B' made…
A: Normal stress is defined as the intensity of force exerted over a unit cross sectional area which…
Q: a. A steel rod of 1 cm in diameter projects (4+R) cm from the wall as shown in figure 1. If the rod…
A:
Q: A circular rod made of aluminum with a radius of 32.5 mm was placed in a steel tube with a length of…
A: Given data, rAl = Radius of the aluminum rod = 32.5 mm L= Length of the rods = 2.4 m = 2400 mm rs,i…
Q: A horizontal aluminum rod 2.5 cm in diameter projects 4.5 cm from a wall. A 1000 kg object is…
A: Given data: d=2.5 cmL=4.5 cmm=1000 kgG=3×1010 N/m2 Need to determine the shear stress on the rod and…
Q: a. A steel rod of 1 cm in diameter projects (4+R) cm from the wall as shown in figure 1. If the rod…
A: Write the given data: Understand the following figure for the given beam.
Q: The maximum torsional shear stress of a shaft with diameter D can be found at what distance from the…
A: To find : maximum torsional shear stress of a shaft with diameter D can be found at what distance…
Q: Determine the torsional stiffness of a solid aluminum shaft of length 2 m and radius of 30 cm. The…
A:
Q: 1. A solid bar of circular cross section has a diameter of 40mm and length of 1300mm. G=80GPa and…
A: This question is related with the pure torsion equation.
Q: Plot the shear-stress distribution over the cross section of a rod that has a radius c. By what…
A: Shear force acts parallel to the plane or we can say that perpendicular to the centroidal axis.…
Q: A shaft with a length of 2 m has the cross section shown in Figure 1, where a = 4 cm and t = 4 mm.…
A: Torque Torque is a rotational equivalent of linear force. Torsion Torsion is the twisting of an…
Q: Determine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C…
A:
Q: A solid circular shaft is required to carry a twisting moment of 6 x 10 N-m and a bending moment of…
A:
Q: A solid transmission shaft is 88.9 mm diameter. It is desired to replace it with a hollow shaft of…
A:
Q: a) Find the twist angle of the free end. b) Find the shear center of the cross-section. The material…
A: Shear center : it is the point of application of the resultant shear stress, i.e., the point at…
Q: A 24 mm diameter shaft 0.8 m long is twisted through an angle of 1.8 degrees. What is the stress…
A:
Q: Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear…
A:
Q: ke diameter of t
A:
Q: What is the angle of twist for a 2 ft. diameter aluminium bar if it is subjected to a torque of…
A: Angle of twist formula Phi = TL/JG C) option
Q: A hollow shaft with outside diameter of 165 mm and wall thickness of 8 mm transmits 192 kW at 400…
A:
Q: A shaft transmits 20 kW power and rotates at 500 rpm. The material of the shaft is 50C4 (ơvp = 460…
A: Given, Power transmitted = P = 20 kW = 20,000 W Shaft RPM = N = 500 rpm Yield strength of shaft =…
Q: An external pressure of 10 MPa is applied to a closed-end thick cylinder of internal diameter 160 mm…
A: External pressure P= 10 Mpa Di = 160 mm ;r = 80 mm Do = 320 mm ; R =160 mm σcmax = 30 Mpa E = 207…
Q: A hollow shaft has an outer diameter of D = 60 cm and inner diameter of d = 30 cm. If the shear…
A: Given D = 60 cm = 0.6 m d = 30 cm = 0.3 m Shear stress (max) = 50 MPa = 50*10^6 Pa
Q: 26. If ơ, = 50 ksi, oy = 10 ksi, and Txy = 30 ksi, what is the absolute maximum shear stress for the…
A: Given: The stress along x-axis, σx = 50 ksi The stress along y-axis, σy = 10 ksi The shear stress,…
Q: A 2-inch line shaft is transmitting 20 hp rotating at 200 rpm, carrying two pulleys spaced 30 inches…
A:
Q: A thin cylindrical shell with D/t ratio equal to 40 subjected to an internal pressure of 2 N/mm. The…
A:
Q: A solid shaft with a constant cross sectional area is subjected to twisting moment as shown. The…
A:
Q: The area of the upper face of a rectangular block is .5mx.5m The lower face is fixed. The height of…
A:
Q: A steel shaft A of diameter d'and length Lis subjected to a torque T. Another shaft B made of…
A: We are asked to find shear stress in aluminium and we are aware of shear stress in steel. From…
Q: The bars shown in Figurehave equal cross-sectionalareas and they are each subjected to a torque of…
A:
Q: A shaft is subjected to an axial pull of ___ and transverse shear force of ___ The yield strength of…
A: (As per policy, for questions containing multiple subparts, experts are allowed to answer only three…
Q: A shaft with a solid, circular cross section consisting of two segments isshown in parta of the…
A:
Q: A solid round aluminum shaft has a maximum allowable shear stress of 80 MPa. The shaft is 10 cm in…
A: Given Diameter, d = 10 cm Length, L = 1 m G = 28 MPa Shear stress = 80 MPa…
Q: Two steel springs arranged as shown support a load P. The left spring consists of 12 turns of 20-mm…
A:
Q: A bar of 6-mm in diameter is only allowed to decrease at a maximum of 3.96% of its total length.…
A: Givend=6mmdecrease in lenght ∆L=3.96%×LG=602 Mpaμ=0.20
Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain γxyγxy at P.…
A:
Q: A solid shaft 100 mm diameter transmitted power at 150 rpm. If the maximum shear stress induced in…
A:
Q: We have an assembly with a steel rod AB and an aluminum BC, each having a cross sectional area shown…
A:
Q: 11.3 (A) Calculate the strain energy stored in a bar of circular cross-section, diameter 0.2 m,…
A:
Q: We have an assembly with a steel rod AB and an aluminum BC, each having a cross sectional area…
A:
Step by step
Solved in 2 steps
- A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?Consider a tube having a rectangular cross-section as shown below. The tube is subject to two twisting moments of 70 N - m . Determine the average shear stress developed at point A. The tube is fixed at the other end. a) 1.75 MPa b) -1.65 MPa c) 4.086 MPa d) 2.095 MPa If your doing it fast, I will rate you...An external pressure of 10 MPa is applied to a closed-end thick cylinder of internal diameter 160 mmand external diameter 320 mm. The maximum hoop stress permitted on the inside wall of the cylinderis limited to 30 MPa. The cylinder has the mechanical properties of E = 207 GPa and v = 0.3.a) What is the maximum internal pressure that can be applied?b) Determine the maximum shearing stress (absolute) in the cylinder.c) Calculate the change in outside diameter when the pressures are applied
- Steel bar whose length of 1.31 m and a radius of 13 mm is subjected to torque which produce a shear. If the angle of twist is 30° and shear modulus of 203 GPa. Determine the torque applied.A steel marine propeller shaft 13 inches in diameter and 15 ft long is used to transmit 9,426 hp at 189 rpm. if G = 12 x 10^6 psi, determine the maximum shearing stress in psi.A flange coupling has an outside diameter of 200 mm and connects two 40 mm shafts. There are four 16 mm bolts on a 140 mm bolt circle. The radial flange thickness is 20 mm. If the torsional stress in the shaft is not to exceed 26 MPa, determine the shearing stress in the bolts if uniformly distributed. A. 8.5 N/mm2 B. 5.8 N/mm2 C. 6.5 N/mm2 D. 7.5 N/mm2
- A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube is r1 = 45 mm and the measured angle of twist betweenthe ends is 0.5°, what is the shear strain γ1 (in radians) at the inners surface? b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to bekept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius(r2)max?The cylinder of a hydraulic ram supported at the open end is 200 mm internal diameter and is required to sustain an internal pressure of 25 MN/m2.Calculate the necessary thickness of the wall if the maximum shearing stress is limited to 55 MN/m2.Allowing for the effect of the longitudinal stress caused by the pressure on the end of the cylinder, calculate the increase in diameter due to the application of the 25 MN/m2 pressure. Take E= 214 GN/m2 and υ = 0. 28Consider a solid shaft of 18-mm diameter. Determine the maximum shearing stress in the shaft as it transmits 3.4 kW at a frequency of 25 Hz. The maximum shearing stress is ____ MPa.
- When subject to an applied torque,a circular shaft of length 600mm twists through an angle of 2°,if the shear modulus for the shaft material is 80KN/m^2, calculate the shear stress; A)At the center of the shaft B)At a radius of 20mm C)if the maximum shear in the shaft is 120MN/m^2, calculate the outside diameteranswer this ; The first moment of area employed in the equation to calculate maximum shear stress can be calculated as ?= ( units : ??3 )PART 1 My answer Ay=14.38 Cy=13.62 Part 2 Determine the shear force acting at each of the following locations: (a) x = 4.25- (i.e., just to the left of point B.) (b) x = 4.25+ (i.e., just to the right of point B.) (c) x = 9.25-(i.e., just to the left of point C) (d) x = 9.25+ (i.e., just to the right of point C) My Answer: (a) V= 14.38 kN (b) V= 14.38 kN (c) V= 14.38 kN (d) V= 28 kN Part 3 Determine the bending-moment acting at each of the following locations: (a) x = 4.25-(i.e.. just to the left of point B.) (b) x = 4.25+ (i.e.. just to the right of point B.) (c) x = 9.25 m (i.e., at support C) (d) x = 8.25 m My Answer: (a) M= 61.115kN-m (b) M= -148.885 kN-m (c) M= -76.985 kN-m (d) M= -91.365 kN-m Part 4: Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with…