05 A steel shaft ABC of 50 mm diameter as shown in figure is driven at A by a motor that transmits 50 kW to the shaft at 10 Hz. The gears at B and C remove 30 kW and 20 kW respectively. Compute the maximum shear stress in the shaft and the angle of twist between the ends A and C. (Take G= 80 GPa) Motor A 1.0 m-1.2m- 50 mm B

05 A steel shaft ABC of 50 mm diameter as shown in figure is driven at A by a motor that transmits 50 kW to the shaft at 10 Hz. The gears at B and C remove 30 kW and 20 kW respectively. Compute the maximum shear stress in the shaft and the angle of twist between the ends A and C. (Take G= 80 GPa) Motor A 1.0 m-1.2m- 50 mm B

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the angle of twist at the free end A of the shaft

Q: Q1:- At a certain point on the outside of a shaft, which is subjected to a twisting moment (torque)…

Q: Q2 / A solid steel [G= 80 GPa] shaft of variable diameter is subjected to the torques shown in…

A: Given:-G=80GPa=80*1000 N/mm2d1-3=50mmd2=80mmTo find:-ζmaxϕD-ϕAϕc-ϕAϕB-ϕA

Q: A solid circular bronze [G = 6,500 ksi] shaft, 6.4 ft long and 1.600 in. in diameter, carries a…

Q: The compound shaft shown consists of a solid shaft AB made of bronze [G = 40 GPa], and a solid…

A: To determine: internal torques in the shafts shear stresses in the shafts angle of twist at point C…

Q: Isosceles triangular gate AB, as shown in the figure, is hinged at A. The horizontal force (P) is…

A: Given C=2m J=4m E=1.2m Theta=60° S.G=0.82

Q: 240 lb-ft 215 lb-ft 110 lb-ft (1) A (2) (3) B 36 in. 36 in. 36 in.

Q: A 116.79 kips (B 172.79 kips 92.79 kips A 119.38 kips B 40 kips 1.5" V 40 kips C From the figure,…

A: dia of rod AB=2''allowable stress in rod AB=55ksi

Q: The assembly of pipes consists of galvanized steel pipe AB and BC connected together at B using a…

A: Given G= 83Gpa AB and BC PIPE dia of AB = outer 20mm and inner 17mm Dia of bc = outer 15mm and…

Q: A solid 0.75-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the…

A: Determine the maximum shear stress magnitude in the shaft.

Q: Two blocks of rubber, each 80 mm long by 40 mm wide by 20 mm thick, are bonded to a rigid support…

A: Given data : Length of each block = 80 mm width of each block = 40mm Thickness of each block = 20 mm…

Q: A solid circular bronze (G = 6,500 ksi] shaft, 4.0 ft long and 1.350 in. in diameter, carries a…

Q: In the following structure, consisting of a rigid body DBC and a bar AB with a diameter of 24 mm,…

A: bar AB with a diameter of 24 mm

Q: The A-36 hollow steel shaft is 2 m long and has an outer diameter of 40 mm. When it is rotating at…

A: Given: The length of the steel shaft is 2 m. The outer diameter is 40 mm. The angular speed is 80…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

Q: lid circular bronze [G = 6,500 ksi] shaft, 5.8 ft long and 1.275 in. in diameter, carries a torque…

A: L=5.8ft G=6500ksi T=100 lb-ft

Q: The compound shaft consists of bronze and steel segments, both having 120-mm diameters. If the…

Q: Determine the maximum shear stress in the solid shaft. The diameter of the shaft is 1 in. Assume the…

A: Given: d = 1 in r = 0.5 in The FBD of the given diagram is as follows:

Q: The 39 kg drum is suspended from the hook mounted on the wooden frame. Determine the state of normal…

Q: 9. The motor A delivers 5000 hp to the shaft at 2000 rev/min, of which 2000 hp is removed by gear B…

Q: A shaft composed of segments AC, CD, and DB is fastened to rigid supports and loaded as shown in the…

A: Given:- A composite shaft fastened to rigid supports having Modulus of Rigidity as…

Q: Show your solutions and choose the right answers

Q: Two blocks A and B, each having a mass of 7.5 kg, are connected by the linkage shown. Neglect the…

Q: The motor delivers 3000 hp to the shaft at 1500 rev/min, and efficiently transmitted to gear B and…

A: Given, P = 3000 hp f = 1500 rpm G = 77 GPa

Q: Note: Express your answer in terms of the units. Observe 3 decimal places. The error threshold is…

A: For any mechanism problem when it rested on the ground or at the sloping surface then it shows the…

Q: 5. A 12-mm-diameter steel [E = 200 GPa] rod (2) is connected to a 30-mm-wide by 8-mm-thick…

A: Given data in question Diameter 12mm Width and thickness 30 × 8 mm Elasticity modulus 200 GPa and…

Q: 1. A solid steel shaft in a rolling mill transmits (15 + 1 3) kW of power at 2 Hz. Determine the…

Q: The 54-mm-diameter solid shaft is made of 2014-T6 aluminum and is subjected to the distributed and…

Q: 3. The bell crank shown in Figue 3, which is equilibrium under the forces shown in the figure, is…

Q: Dron Acompound steel [G=80 GPa) shaft consists of a solid 110-mm-diameter segment (1) and a solid…

A: Given data, G = 80 GPa Solid shaft 1 diameter = 110 mm Solid shaft 2 diameter = 56 mm Allowable…

Question

05
A steel shaft ABC of 50 mm diameter as shown in figure is driven at A by a motor that transmits
50 kW to the shaft at 10 Hz. The gears at B and C remove 30 kW and 20 kW respectively. Compute
the maximum shear stress in the shaft and the angle of twist between the ends A and C.
(Take G= 80 GPa)
Motor
A
1.0 m-1.2 m
50 mm
B
C

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Data

VIEW

Step 2: Calculation of stress and angle of twist in AB

VIEW

Step 3: Calculation of torque in BC

VIEW

Step 4: Calculation of stress in BC and angle of twist

VIEW

Step 5: Maximum shear stress and angle of twist

VIEW

Solution

VIEW

Step by step

Solved in 6 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Three pulleys are joined by solid steel shafts AB and BC. If G = 200 GPa, determine the unit shearing stress in shafts BC. In MPa A 25 mm ara B 450 N-m 1.2 m 1300N-m 38 mm dia 1.80 m 900 N-m
SHOW COMPLETE SOLUTION
The steel shaft is formed by attaching a hollow shaft o a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70 MPa or ana angle of twist of 2.5° in he 3.5-m length. Use G = 83 GPa for steel. T ANS: T = 4.00 KN-m 100 mm 2 m 70 mm 70 mm 1.5 m 6
A solid 0.66-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (1). 10 Ib-ft 50 lb-ft 70 Ib-ft 30 lb-ft 1594psi 2126psi 1981psi 1786psi 2936psi
3. Two-solid 2.0-in.-diameter steel shafts are connected by the gears shown. The shaft length are L, = 12 ft and L2 = 20 ft. Assume that the shear modulus for both shafts is G = 12,000 ksi and that the bearings shown allows rotation of the shafts. If the gear at D is rotated at an angle of 8°, what is the maximum shear stress in each shaft. L2 Rg = 5 in. (1) B Tp (2) Rc = 3 in. D
A solid circular bronze [G = 6,500 ksi] shaft, 6.2 ft long and 1.150 in. in diameter, carries a torque of 85 lb-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax psi (b) Ф%3
SHOW COMPLETE SOLUTION, INCLUDE FBD AND FORMULA USED. SOLVE COMPLETELY
W/FBD,thank you
A solid circular bronze [G = 6,500 ksi] shaft, 6.0 ft long and 1.325 in. in diameter, carries a torque of 90 Ib-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax = psi (b) Ф%3D
Determine the displacement at pulley B. The A992 steel shaft has a diameter of 30 mm.