A stepped shaft of solid circular cross-section has length L 0.80 m, diameter d., = 40 mm and diameter d, = 30 mm. The material is steel with G 80 GPa. Determine the strai energy U of the shaft if the angle of twist is 1º. d. T 1/2 = [d₁ 1/2 T

A stepped shaft of solid circular cross-section has length L 0.80 m, diameter d., = 40 mm and diameter d, = 30 mm. The material is steel with G 80 GPa. Determine the strai energy U of the shaft if the angle of twist is 1º. d. T 1/2 = [d₁ 1/2 T

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: Q1/ Determine the resulting displacement of pin B. Assume: Al-A2= 900 mm , E1-E2= 100 GPa, al-a2=…

Q: Q2: A: Find the maximum value of (p) that can be applied to the beam shown. = 350 MPa (WD.L is…

A: We have to determine the value of p that we can apply to the beam shown. Given data fc= 21.7 MPa…

Q: The compound shaft in Figure is attached to rigid supports. For Bronze G = 40 GPa and for Aluminum G…

A: Given DataFor Bronze G=40 GPaFor Aluminium G=35 MpaDiameter of Bronze=200 mm=0.2 mDiameter of…

Q: If the output torque on the CD shaft is T ́ = 75 N-m and the motor rotates at 175 rpm, determine the…

A: Given for CD shaft diameter d2=35 mm, radius of gear R2=125 mmand torque T2=75 N-mfor EA shaft…

Q: 1. The bottom circular plate is slowly rotated at 2 rpm. The 0.1 inch gap, h between the top and…

A: Given : Rotating Speed of bottom circular plate - 2 rpm Dia of top and bottom circular plate - 12…

Q: Determine the reactions at A and B when a = 30°. - 10 in--10 in.- B 1000 Ib-in 12 in. RS

Q: 2. The block of weight W2 is being held in its position by two cylindrical rollers resting on…

A: Given Coefficient of static friction for all contact surfaces is 0.36 W1 = 516 kN

Q: A 40-mm diameter by 3.5-m long steel rod (1) is stress free after being attached to rigid supports…

Q: 5. Rigid member ABCD is connected to two elastic bars and loaded as shown. Determine the maximum…

Q: The coefficients of static and kinetic friction between the crate and the floor are us = 0.3 and μk…

A: Given, W = 150 lb P = 222 lb Theta = 30°

Q: Solution accu

Q: 1. A beam is loaded and supported as shown. Determine the components of the reactions at supports A…

A: The hinged support will have horizontal and vertical reactions. The roller support B will have…

Q: 2. 以日 ted loading shown. Determine the reactions of 2PL () tan A A

Q: In a flywheel, an 800N-m is applied as shown below with a coefficient of belt friction 0.20. Minimum…

Q: The 58-kg crate is stationary when the force P is applied. Determine the resulting acceleration of…

A: M=58kg

Q: Q3. Determine the inner and outer diameter of the hollow shaft which will replace a 76 mm solid…

A: Given data: Diameter of solid shaft=76mm Hollow shafts weighs half of the solid shaft It is…

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

A: Given Specific gravity of oil=0.82 To find P

Q: PROBLEM #3 Block A has a weight of 40 lb, and block B has a weight of 8 lb. The coefficient of…

A: The given figure is shown below:

Q: 40. A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is fixed asun…

Q: Two rods vertically connect beams AB and CD as shown in the figure. Point A is fixed supported while…

Q: An I-section beam ABC has a constant El and is loaded as shown in the figure below. This beam has a…

A: Given: Required: Constant of integration C1 and C2 Moment reaction at C Vertical force reaction at…

Q: 600 N/m 1 m 3 m 2 m R2

Q: The homogeneous 5z.x-kg bar ABC is held in position by a horizontal rope attached to end C.…

A: The mass of the bar is m=5zx or m=20 kg. Here, x=1, y=7, z=4. Calculate the weight of the bar.…

Q: The 34-kg crate is stationary when the force P is applied. Determine the resulting acceleration of…

Q: 7. Determine the resulting velocity of the 10-kg block at s = 0.5 m. Initially, the spring is…

Q: The 742-N force is applied to the 117-kg block, which is stationary before the force is applied.…

Q: Calculate (a) the elongation of the copper wire when the 50 KN vertical force is applied at and (b)…

A: Given data A copper with A= 500 mm2 L=1.30m E=120GPA P= 50 KN

Q: 67 lb/m 76 lb/m 2m 3m-

Q: Determine the vertical displacement of joint C. The length, L, of trusses AC, BC is 1,000 mm. The…

Q: shear stress of 100 MPa in the bronze segment,

A: Given data- Diameter of rod (D) = 120 mm = 0.12 m Maximum shear stress(£) = 100 Mpa Length of bronze…

Q: The following beam is supported by roller at A and by hinge at B, calculate the reaction at A. 30kN…

A: Take reaction at A as Ra in upward direction Take sumation of moments at B=0…

Q: A bar AB (A = 500 mm²) is hinged at A and is supported by a rod CD and C. The rod is pin connected…

Q: A circular steel shaft with length, L (m) has an outer diameter, d2 (mm) and inner diameter, d1…

Q: Q1/ The assembly consists of two 10-mm diameter steel rods AB and BC, and a rigid bar B. After…

Q: A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P =…

A: determine the axial deformation of rod 1 (in mm).

Q: A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when…

Q: F2 F3 F1 a a

Q: 10 mm -200 mm- B

Q: Q1/ Determine the resulting displacement of pin B. Assume: A1=A2= 900 mm? , E1=E2= 100 GPa, a1=a2=…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

A stepped shaft of solid circular cross-section has length L
0.80 m, diameter d., = 40 mm and diameter d, = 30 mm. The
material is steel with G = 80 GPa. Determine the strain
energy U of the shaft if the angle of twist is 1º.
d.
T
1/2
[d₁
1/2
T

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: GIVEN DATA

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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=12 B=12 C=7 D=7
The assembly consists of two 20-mm diameter rods AB and CD, a 30-mm diameter rod EF, and a rigid bar G. The assembly is subjected to the loading shown, with point E located at the midpoint of BD. Take the modulus of elasticity of the rods as 100 GPa. i. Determine the horizontal displacement of point E (indicate direction, left or right). 11. If the applied loads causes the diameter of rod AB to become 20.0022 determine the Poisson's ratio of the material (to 2 decimal places). 350 mm 450 mm A B 40 kN E 60 kN 40 kN DG
E F (600)mm EA EA P= 180 kN EA A B 0-e diagram of the bars 300 тm 300 тm 300 тm The rigid beam given in the figure is supported by three identical bars. Cross-sectional area of the bars are A=(4 ) cm? and they are made of ideal elastic-perfectly plastic material. If a force P= calculate the residual stresses in each bar. (ơ=240 MPa and E=210 000 MPa) : (180 ) kN is applied to the beam and removed,
D (5000 mm2) (4000 mm E (5000 mm) 3 m (4000 mm) A (S000 mm) B (5000 mm?) 100 kN 2 panels at 4 m = 8 m E = 200 GPa Determine the force in member AE in kN. If the force is compression, enter the answer as negative. („uu 000)
The circular shaft AB consists of a 18 mm diameter solid steel cylinder in which a 8 mm diameter hole has been drilled from end B up to point C. The shaft is attached to fixed supports at each end, and a 150 Nm torque is applied at C. The torque reaction at A is 50 Nm. Determine the ratio of lengths L₁/L₂. Input your answer to two decimal places. 4₁ L₂ A 150 Nm B
The 9-kg uniform rod is pinned at end A. It is also subjected to a couple moment of 50 Nm. The spring is unstretched when 0 = 0, and has a stiffness of k = 60 N/m. (Figure 1) Figure k = 60 N/m -0.5 m 0 B HA 2 m 50 N·m 1 of 1 Determine the smallest angle for equilibrium. Express your answer in degrees to three significant figures. A= [5] ΑΣΦ ↓1 vec 1 Submit Provide Feedback Request Answer ?
Solve for Ay and By with FBD. (Please mention no.of reaction forces in supports for better understanding)
complete sol 25 mins pls
Find the general solution of the DE below. dy , dy - 2y = 0 dt² dt3
What is the value of w? Solve the resultant of the trapezoidal load.
The 5.5-kg uniform rod is pinned at end A. It is also subjected to a couple moment of 50 Nm. The spring is unstretched when 0 = 0, and has a stiffness of k = 60 N/m. (Figure 1) Figure k = 60 N/m -0.5 m- 0 B 2 m 50 N·m 1 of 1 Part A Determine the smallest angle for equilibrium. Express your answer in degrees to three significant figures. 0 = for Part A for Part A for Part, A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Submit Provide Feedback Request Answer Next >
A 90-kg smooth circular cylinder A with a radius of 0.6 m is held in equilibrium by a cord CD and a bar BC of negligible mass. The length of bar BC is 2.4 m. a. Draw the FBD of the circular cylinder and the bar BC.b. Determine the tension in the cord CD.