A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T, = 130 Ib-ft, respectively.Segments BC and CD have lengths Lac = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi.T3-LBCDetermine the minimum required diameter (d, in inches) of the shaft if the allowable shear stresst, = 4 ksi.d =in.Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)

Answered: Image /qna-images/answer/5e60117a-9c36-4961-945c-58bab2890595.jpg

A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T = 130 Ib-ft, respectively. Segments BC and CD have lengths Lsc = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi. Determine the minimum required diameter (d, in inches) of the shaft if the allowable shear stressT, = 4 ksi. d = in. Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)

A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T, = 375 Ib-ft. Gears at B and D are driven by the shaft and have resisting torques T, = 245 Ib-ft and T = 130 Ib-ft, respectively. Segments BC and CD have lengths Lsc = 20 in. and Lco = 15 in. and the shear modulus G = 11,600 ksi. Determine the minimum required diameter (d, in inches) of the shaft if the allowable shear stressT, = 4 ksi. d = in. Also calculate the angle of twist (in degrees) between gears B and D. (Assume that the +x-axis is to the right. Use the statics sign convention.)

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter6: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...

See similar textbooks

Similar questions

Determine the vertical displacement at Joint A, B, C, D, E
A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E. Draw a free body diagram of rigid bar ABD, and determine the magnitude of the vertical reaction force at pin D.Answer:D = kN
Determine the smallest force P needed to lift the 3000-lb load. The coefficient of static friction between A and C and between B and D is μs = 0.3, and between A and B μ's = 0.4. Neglect the weight of each wedge.
determine the vertical reaction at B in kN using any Geometric Method. Consider 250 mm x 400 (b x h) mm section and E = 100,000 MPa. Enter the absolute value only and round-off your answer to 3 decimal places
1-10. A bar of variable cross section, held on the left, is subjected to three forces, P =4 kN, P, = -2 KN, and P, = 3 kN, as shown in the figure. On two separate diagrams, plot the axial force and the axial stress along the length of the bar. Let A1, = 200 mm, A2, = 100mm², and A3, = 150 mm".
Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Figure P6.4
Determine the slope at B and the displacement of B due to the horizontal Load (Yhb)
The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm and Acr = 9,280 mm. The distances between various points on the bars are shown in the figure. Determine the vertical displacements & and dp of points A and D, respectively.
The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque T (in Nm) that can be applied to the ends of the shaft without exceeding a shear stress of 70048581 Pa and angle of twist of 2.29ᴼ. Use G = 83000000000 Pafor the shaft, x = 2.01 m, and y = 1.69 m. Round off the final answer to two decimal places.
The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?
Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is μs = 0.2.
Compute the value of EIy at 2.5 m from the left support.