A circular steel rod AB of diameter d1,length L and modulus of rigidity G is loaded as shown is figure. A rigid bar BC of length b is rigidly fixed to AB at B such that BC is perpendicular to AB and lies in the horizontal plane. Find the deflection of point C due to (i) Bending of AB (ii) Torsion of AB (iii) Combined bending and torsion L P B

A circular steel rod AB of diameter d1,length L and modulus of rigidity G is loaded as shown is figure. A rigid bar BC of length b is rigidly fixed to AB at B such that BC is perpendicular to AB and lies in the horizontal plane. Find the deflection of point C due to (i) Bending of AB (ii) Torsion of AB (iii) Combined bending and torsion L P 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: There is a wooden beam AD, as shown in the figure below, the Flexural Rigidity of the beam section…

A: Figure is as shown

Q: The beams described in the problems for Section 9.9 have constant flexural rigidity El. A simple…

A: Take a section xx at x distance from A

Q: A simply-supported beam of length 3L is. subjected to the loading shown in the figure. P L P L It is…

Q: mning Goal: use the superposition principle to find the state -tress on a beam under multiple…

A: d1= 2.15 md2 = 0.5 md3= 0.95 md4=285 mmr= 150 mmP= 4.5 kNTo find:Part A: Determine the support…

Q: A simple beam is subjected to two concentrated loads as shown. The beam section is a rectangular…

A: Strain energy = 4P2L33EI

Q: B/ 300 MA RB Determine the reactions RA R and MA for this beam. (Solve by the method of…

A: Given prop cantilever and it is asked to find reaction at A and B also moment at A.

Q: Problem 2 Consider the beam of length L and cross-sectional moment of inertia I shown in the figure…

A: Given data:

Q: For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and…

A: Here, M = 7044 lb.ft Iz = 18.3990 in4 For positive bending moment,…

Q: The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and…

Q: 1) a. Determine the location of the plastic centroid for the column shown.

A: Given Data:fc=40Mpa.fy=420Mpa.

Q: A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:…

Q: Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has…

A: Derive a formula for the strain energy U of the cantilever bar shown in the figure.

Q: W A L A Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end…

A: The objective of the question is to calculate the location of the centroid, the second moments and…

Q: The horizontal bar ABC is rigid, while CD is made of tubular steel. A load of P = 22x103 N is…

Q: Consider the 10m long W 760x257 beam from problem 2, fixed at both ends. Determine the maximum…

A: Given values, Length L = 10 m; W 760 * 257 beam; Self weight = q KN/m

Q: Using the Method of Consistent Deformations (Force Method), determine the Fixed-End Moments (FEM) at…

Question

A circular steel rod AB of diameter d1,length L and modulus
of rigidity G is loaded as shown is figure. A rigid bar BC of
length b is rigidly fixed to AB at B such that BC is
perpendicular to AB and lies in the horizontal plane. Find the
deflection of point C due to
(i) Bending of AB
(ii) Torsion of AB
(iii) Combined bending and torsion
L
P
B

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

VIEW

Step 2

VIEW

Step 3

VIEW

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

Member AB of the truss shown is subjected to a 1,860-lb tensile force. Determine the weight W (in pounds). Use x = 52 in., and y = 50 in. Answer is 805.93. No other answer thanks.
Determine the stiffness matrix of the given system and obtain the condensed stiffness matrix at the dynamic DOFs if the dynamic forces applied in-plane translational DOFs. All members are axially rigid. E=30000 MPa; I=8x10⁹ mm4; L= 4000 m. Hint: Evaluate the stiffness matrix applying the unit deformation metod as given example in the figure!!! m m m U3 U₂ U₁ mm. u₁=1 and urest=0 U4 U3 2m) U₂ EI, L (2m) U₁ 2EI, L
A load Pis supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15900 ksi] rods, and a solid steel [E = 30300 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.69 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.42 in. Assume L=37 in and L2=68 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 28 kips is applied. (1) L2 (1) B P. Answers: i 27.744 ksi. 02 = 4.512 ksi.
A beam is subjected to equal bending moments of M₂ = 3300 N-m. The cross-sectional dimensions are b = 190 mm, c = 26 mm, d = 75 mm, and t = 5 mm. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ N y| M₂ (typ) Z- b H K d
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; / = 1950 in.“). For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 190 kip-ft, P = 26 kips, LAB = 8.6 ft, LBc = 12.9 ft. P MA LAB LBC Answer: (a) VA = in. (b) VB = in.
The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam N M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm
I'm quite confused whether we're going to consider the friction at C going to the left or going to the right since by inspection, the object has the tendency to slip to the right so we'll have friction on the opposite direction. On the other hand, we can have friction to the right since there is force P acting on member BC. How do you solve this?
None
A rigid bar AB is hinged at A and is supported by a rod CD at C. The rod is pin connected at D, as shown. Neglect deflections of the bar due to bending. Use E-200 GPa. How much will rod CD elongate due to the load at B?
Determine the force in members BC, GA, and BG of the truss shown in the figure below. Let P = 175 kN. NOTE: If your answer is a compressive force then just put a negative sign. If your answer is a tensile force then just type the answer directly. (ALSO, DON'T FORGET THE UNITS) 2P 2P 30 60V60° 60°V60° C 30 D 3P 4m 4m 4m Solve the force in member BC. Solve the force in member GA. Solve the force in member BG.
4-113. A material has a stress-strain diagram that can be described by the curve o = ce2. Determine the deflection 8 of the end of a rod made from this material if it has a length L, cross-sectional area A, and a specific weight y.
Problem 2: For the beam given below: (a) Calculate all support reactions. (b) Draw the shear diagram. Show all important values of shear. Show the sign convention within each region. (c) Draw the moment diagram. Show all important values of moment. Show the sign conventions within each region (concavity: smiley face, sad face, etc.) (d) Sketch the deflected shape. Show supports in your sketch. For your solution, let w = 2 kips/ft and L = 20 ft. A L 22 B L W C