A compound shaft drives several pulleys, as shown. Segments (1) and (2) of the compound shaft are hollow aluminum [G = 4,000 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.175 in. Segments (3) and (4) are solid 2.00-in.- diameter steel [G = 12,000 ksi] shafts. The bearings shown allow the shaft to turn freely. Assume TA=9240 lb-in, TB=10860 lb-in, Tp=3060 lb-in, TE=1440 lb-in, L1=74 in., L2=34 in., L3=52 in., and L4=56 in. Calculate

A compound shaft drives several pulleys, as shown. Segments (1) and (2) of the compound shaft are hollow aluminum [G = 4,000 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.175 in. Segments (3) and (4) are solid 2.00-in.- diameter steel [G = 12,000 ksi] shafts. The bearings shown allow the shaft to turn freely. Assume TA=9240 lb-in, TB=10860 lb-in, Tp=3060 lb-in, TE=1440 lb-in, L1=74 in., L2=34 in., L3=52 in., and L4=56 in. Calculate

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: In Fig. below, the vertical shaft and the pulleys keyed to it may be considered to be weightless.…

Q: -/ 10 Question 6 of 10 The copper pipe [G = 8,000 ksi] has an outside diameter of 3.125 in. and a…

Q: A stepped shaft ACB having solid circular cross sections with two different diameters is held…

Q: Question 2 Frame ABCDE shown in Figure Q2 is supported by a fixed connection at B, roller at D and…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

Q: The dimensions of a jib crane, which is manufactured by the Basick Co., are given in the figure. If…

A: Consider the following free body diagram:

Q: A helical spring composed of 20 turns is fabricated by wrapping wire 10 mm in diameter around a…

Q: Question 2 Frame ABCDE shown in Figure Q2 is supported by a fixed connection at B, roller at D and…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

A: Free body diagram:- For tube 1 G=6200 ksiL1=44 inD1=2.15 int1=0.130 inFor tube 2G=11500 ksiL2=68…

Q: 2) Determine the magnitude of the horizontal and vertical components of the total force per meter…

Q: A solid 1.250-in.-diameter steel [G = 11,000 ksi] shaft is subjected to torques TB = 295 lb-ft and…

A: Assume a torque At Fixed support TA in anti clock DirectionHence TA=TB-TC+TCTA+TC=TB+TD To be in…

Q: A water tank has a right-triangular panel near the bottom, as in Figure 2. Omitting Pa, find and…

Q: A solid circular bronze [G- 6,500 ksi] shaft, 5.4 ft long and 1.125 in. in diameter, carries a…

Q: Q2- A parallel force system acts on the lever shown in the figure. Determine the magnitude and…

Q: (1) 1.6 m B P 2.8 m (2) C

Q: In Fig. below, the vertical shaft and the pulleys keyed to it may be considered to be weightless.…

Q: P=3kN e=100mm H=0.45kN- 3.00m 6mm 300mm w=150 N/m

A: Given data: P=3KNe=100 mmH=0.45 KNl=3 mw=150 N/mD=300d=300-2×6=288 mm Calculating cross-sectional…

Q: bearings, each of weight w and radius r, are placed inside a cylinder open at both ends. The…

A: Given:- weight=w To find:- (a) the force exerted by either ball bearing on the cylinder, (b) the…

Q: a). What is the minimum diameter of a solid 6m steel shaft that will carry a earing stress of not…

A: solution Leth the diameter of shaft =dLength L =6mts shearing stress ζ=45Kpa and torque T=15KNmwe…

Q: The frame is made from pipe that is fixed connected, It supports the loading shown in (Figure 1). EI…

Q: Hydrostatic Force - Pressure x Area Suppose that a vertical, parabol1ic gate is installed on the…

A: Given: The depth of gas tank is 24 ft. The shape of the gate is defined by the equation y=2-12x2 The…

Q: 3) The segmented shaft shown below is made up of two shafts. Shaft (1) is a solid shaft with a…

A: Given data - To find -

Q: Q2. The 2.2-m-diameter pipe drains water from a reservoir, where the crown of the pipe is 3 m below…

A: Given: Diameter, d=2.2 m Area, A=πd24=π2.224=3.801 m2

Q: the internal torque diagram. Find the maximum shearing stress on a section 3 m from left end of the…

A: Given:- G=80GPa To find:- Draw the internal torque diagram. Find the maximum shearing stress on a…

Q: 1.5 ft

Q: The four rigid gears, loaded as shown in the figure, are attached to a 2.98-in.-diameter steel…

Q: (+ A В 15 kN m 30 kN.m 30 kN-m

Q: An open cylindrical wood stave tank having a diameter of 2m and height of 4m is full of water. The…

Q: 5. The tank shown is fabricated using a steel plate 1/6 of an inch thick. Determine the maximum…

A: Given, Steel plate thickness =1/6 inch Internal pressure = 130 psi

Q: A helical spring composed of 20 turns is fabricated by wrapping wire 10mm in diameter around a…

A: In helical spring, the maximum shearing stress is the sum of the torsional shearing stress and…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

Q: PROBLEM 2: The 280-kg, 6m-wide rectangular gate shown is hinged at B and leans against the floor at…

Q: (+) The hollow shaft used in the system has the following conditions: В Outer Ø: 110 mm Ø Allowable…

Q: The hemispherical dome in weighs 37.9 kN and is filled with water and attached to the floor by 7…

Q: 430 mm 430 mm 32 mm C LA 600 mm d%3D0.75m 300 mm 150 mm D (b) Top view 64 mm X 64 mm X 3 mm B y 600…

Q: gate is 4 kN and the force exerted by the stopper on the gate is measured to

A: (1) first we will draw pressure diagram (2) now we will draw FBD for rectangular…

Q: 3.4-9 Four gears are attached to a circular shaft and transmit the torques shown in the figure. The…

Q: A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel…

Q: A solid constant-diameter circular shaft is subjected to the torques of TA = 400 lb-ft, Tg = 110O…

Q: The column is constructed from high-strength concrete and A-36 steel reinforcing rods. If it is…

Q: B ТВ X A Tc (2) (1) L2 L₁ Z

Q: Given: D= 4 inches F= 260 rpm Shearing stress Max= 15 ksi A) Determine Maximum horsepower that can…

Q: A solid constant-diameter circular shaft is subjected to the torques of TA = 470 Ib-ft, Te = 1090 lb…

A: Given:-

Q: A water tank has a right-triangular panel near the bottom, as in Figure 2. Omitting Pa, find and…

Q: --- A tainter semicircular gate is shown in the figure. Considering a ft wide strip, determine the…

Q: b) Figure Q4-b illustrates a gate of radius 4 m and of 1 m width. Find the magnitude and direction…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

Q: A solid steel shaft in a rolling mill transmits 20 kW of power at 2 Hz. Determine the sma diameter…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

100%

Calculate the maximum shear stress in each shaft segment. τ₁, τ₂, τ₃, τ₄

Answers in psi

τ₁ = 5388 psi

A compound shaft drives several pulleys, as shown. Segments (1) and (2) of the compound shaft are hollow aluminum [G = 4,000
ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.175 in. Segments (3) and (4) are solid 2.00-in.-
diameter steel [G = 12,000 ksi] shafts. The bearings shown allow the shaft to turn freely. Assume TA=9240 Ib-in, TB=10860 |Ib-in,
Tp=3060 lb-in, TE=1440 Ib-in, L1=74 in., L2=34 in., L3=52 in., and L4=56 in. Calculate

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 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

A solid constant-diameter circular shaft is subjected to the torques of TA = 470 Ib-ft, Te = 1090 lb ft, Tc = 840 Ib-ft, and Tp = 220 lb ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. (a) Plot a torque diagram showing the internal torque in segments (1), (2), and (3) of the shaft. Use the sign convention presented in Section 6.6. (b) If the allowable shear stress in the shaft is 5200 psi, what is the minimum acceptable diameter for the shaft?
A fluid having a specific gravity of 0.869 and dynamic viscosity of 0.0814 Pa-s flows through a cast iron pipe at a velocity of 1m/s. The pipe is 50 m long and has a radius of 75mm. Solve for the shearing stress at the walls of the pipe in Pa. Round your answer to 2 decimal places.
Two 10"-15.3 lb channels are welded together as shown in the figure. Find the moment of area of the upper channel about the horizontal centroidal axis Xo of the entire section.
The gate AB shown in figure is hinged at A and kept closed by a force P at B. Compute for the Hydrostatic Force acting on the side of the gate AB. (Given: p = -18.46 kPa, OIL SG = 0.8)
Determine the displacement at pulley B. The A992 steel shaft has a diameter of 30 mm.
Two 10" - 15.3 lb channels are welded together as shown in the figure. Find the moment of area of the upper channel about the horizontal centroidal axis of the entire section. Use the table for properties of channels
The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 19 mm and an elastic modulus of E = 69 GPa. The steel rod has a diameter of 22 mm and an elastic modulus of E = 190 GPa. Assume a = 4.8 m, b = 1.7 m, and c = 1.3 m. What is the magnitude of load P that is necessary to displace point A 9 mm to the left?
The 5 ft diameter cylinder weighs 5000 lbs. and is 5 ft long as shown. Determine the vertical component of the force due to the effect of oil in the left side b.
Problem 2): A 20 mm diameter steel rod passes concentrically through a bronze tube (200+Q) mm long, 50 mm external diameter, and 40 mm internal diameter. The ends of the steel rod are threaded and provided with nuts and washers which are adjusted initially so that there is no end play at 25°C. 1. Assuming that there is no change in the thickness of the washers, if the stress produced in the steel is (200+Q) MN/m2 when one of the nuts is tightened, the pitch of the thread being 1 mm: Find the number of turns for the nut and stress in the bronze tube.2. If the temperature of the steel and bronze is then raised to 40°C find the changes that will occur in the stresses in both materials.The coefficient of linear expansion per C is 10 x10-6 for steel and 17 x10-6 for bronze. E for steel = 210 GN/m2 and, E for bronze = 100 GN/m2.Note: Q = 39
The cross section of a slit rectangular tube ofconstant thickness is shown in the figures.(a) Derive the following formula for the distance efrom the centerline of the wall of the tube in thefigure part a to the shear center S: e = [b(2h+3b)/[2(h+3b)] (b) Find an expression for e if flanges with the samethickness as that of the tube are added as shownin figure part b.
The system shown has a pin at A and a roller at B. If the force, F = 64 lb, height = 6.2 ft, and length = 7.4 ft. What are the reaction(s) at B?
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 46 in., L2 = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have magnitudes of TB = 950 lb·ft, TD = 480 lb·ft, and TE = 90 lb·ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate:(a) the magnitude of the maximum shear stress in the compound shaft.(b) the rotation angle of flange C with respect to flange A.(c) the rotation angle of gear E with respect to flange A.