1 Question 3: 2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings 3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take: AA = 1.55 BB = 0.85 8. CC = 1205 kN / m 2 kN-m/m 9 10 11 AA m CC Nm 12 B. 13 вB m 14 15 16 Solution: 17 18 Te CC N.m 19 20 TAB 21 CC Nm 22 Zooox N.m 23 24 25 26 CC N.m 27 28 The internal torque for segment BC is Constant T = cc NmHowever, 29 the internal for segment AB varies with x, 30 T-2000 x+ AA = 0; T = (2000 x-CC) Nm 31 The minimum shear stress occurs when the internal torque is zero in segment AB. 32 By setting T = 0 33 0 = (2000 x - C): Ans 34 35 And 36 d = AA - x = Ans 67

1 Question 3: 2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings 3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take: AA = 1.55 BB = 0.85 8. CC = 1205 kN / m 2 kN-m/m 9 10 11 AA m CC Nm 12 B. 13 вB m 14 15 16 Solution: 17 18 Te CC N.m 19 20 TAB 21 CC Nm 22 Zooox N.m 23 24 25 26 CC N.m 27 28 The internal torque for segment BC is Constant T = cc NmHowever, 29 the internal for segment AB varies with x, 30 T-2000 x+ AA = 0; T = (2000 x-CC) Nm 31 The minimum shear stress occurs when the internal torque is zero in segment AB. 32 By setting T = 0 33 0 = (2000 x - C): Ans 34 35 And 36 d = AA - x = Ans 67

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

3) The plate shown is fixed connected along AB and held in the horizontal guides at its top and bottom, AD and BC. If its right side CD is given a uniform horizontal displacement of 4 mm, determine (a) the average normal strain along the diagonal AC, and (b) the shear strain at E relative to the x, y axes y. i= 340 mm j= 479 mm D k = 170 mm A k E j k B i 4тm
Two forces P1 and P2 are applied as shown to the end of a bar welded to a cylindrical member having a radius of 20 mm. Determine a) the normal and shearing stresses at point K, b) the principal stresses at point K and the orientation of principal axes, and c) the maximum absolute shear stress at point K. All dimensions are millimeters (mm) r = 20 50 P2 = 18 kN 60 K. P1 = 15 kN CS Scanned with CamScanner
1. A steel shaft is to be manufactured either as a solid circular bar or as a circular tube (Fig. 3-12). The shaft is required to transmit a torque of 1200 Nm without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of 0.75%m. (The shear modulus of elasticity of the steel is 78 GPa.) a) Determine the required diameter d0 of the solid shaft. b) Determine the required outer diameter d2 of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter. c) Determine the ratio of diameters (that is, the ratio d2/d0) and the ratio of the weights of the hollow and solid shafts.
Prob 1. The rigid bar below is supported by a pin and two rods and must support a load of 100 kN is placed 3 m from A. The brass (Ebrass = 85 GPa) rod has a cross section of 30 x 30 mm and the copper (Ecopper = 120 GPa) rod 20 x 20 mm. Determine the normal stress and deflection of both bars. 1.5 m 2 m B -copper 100 kN brass- 3m 3 m E
A square plate 2 m on each side is supported by four steel tie rods 6-mm-diameter from an overhead central point as shown in the figure STRM10. The plate supports a surface load of W in kPa. The point of attachment A is 1.25 m above the plane of the plate. 1.25 m 2 m 2m 1) Determine the maximum load W (kPa) the tie rods can support if the allowable tensile stress on it is 450 MPa. В. 12.83 D. 5.64 Determine the elongation of each steel tie rod if W = 8.5 kPa. A. 8.43 С. 10.12 2) A. 4.28 mm B. 6.46 mm C. 2.84 mm Determine the vertical displacement of the plate. A. 4.28 mm C. 2.84 mm D. 3.54 mm 3) B. 6.46 mm D. None of the above 1A 1B 10 1D 2A O 28 O 20 O 20 3A O 3B O 30 O 3D
P A B 1m E 1m 2m The simply supported beam shown has a solid rectangular cross section having beam width of 130mm and a height of 200mm. Assuming values of P = 25KN, w = 30 kN/m, and E = 5m, determine: 1) The max tensile bending stress in MPa (enter this value into D2L answer box, in MPa). Exactly where does this occur along the beam? (4 sigs) 2) The max shear stress in MPa. Exactly where does this occur along the beam? ( 4 sigs) Your Answer:
Reaction force Pin Retaining ring Ⓡ Force on link
2. Member AB shown in the figure supports a 5 N/mm uniformly distributed load and 4kN concentrated load as shown in the figure. Determine the position x of these loads so that the average tensile stress in the tie rod AC is equal to 90% of the compressive stress at the smooth support B. The rod has a diameter of 19 mm and the contact area at is 700mm². (Hint: quadratic formula) B A X 5 N/mm 4 kN 300mm B
5- The solid rod is subjected to the loading snown. Determine the state of stress at point A, and show the results on a differential volume element located at this point. (HINT: For 100 KN load, the bending will happen about a vertical axis passing through the centroid.) 100 KN 10 KN 200 mm 20 AN 30 mm
The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr 5600 Ksi. %3D %3D 3 ft 2 ft 0.5 in. 1 in. T = 50 lb ft
! Required information Consider the given state of stress. to A16 ksi 10 ksi Determine the normal and shearing stresses after the element shown has been rotated through 10° counterclockwise, using Mohr's circle. The normal stress ox'is ksi and oy'is |ksi. The shear stress Tx'y'is ksi.
The pin connected frame shown in the figure supports the loadsQ = 5kN and P = 10kN. Determine, for a = 30°, (1) the normal stress in the bar CE of uniform cross-sectional area 15x10-5m² and (2) the shearing stresses in the 10-mm-diameter pins at D and E if both are in double shear. 2 m 6 m Q B 01 2 m D 6m