Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 9.3, Problem 34P
Determine the principal stresses in the cantilevered beam at points A and B.
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Determine the principal stresses in the cantilevered beam at points A and B.
Determine the stresses in members A, B, & C of the frame shown below. (With solution)
a = 4
b = 4
C = 4
d = 2
e = 4
P= 800 N
Ans: A =
B =
C =
The channel section carries a uniformly distributed load totaling 6W and two concentrated loads
of magnitude W. (a) Calculate the distance of the neutral axis from the bottom of the channel and
the moment of inertia about the neutral axis. (b) Determine the maximum allowable value for W if
the working stresses are 40 MPa in tension, 80 MPa in compression, and 24 MPa in shear.
Include
A. Complete solution
B. Free body diagram
C. Shear diagram
D. Moment diagram
Chapter 9 Solutions
Mechanics of Materials
Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Solve Prob.99 using the stress transformation...Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the equivalent state of stress on an...
Ch. 9.3 - The stress along two planes at a point is...Ch. 9.3 - The state of stress at a point in a member is...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - The internal loadings at a section of the beam are...Ch. 9.3 - Solve Prob.925 for point B. 925. The internal...Ch. 9.3 - Solve Prob.925 for point C. 925. The internal...Ch. 9.3 - It is subjected to a torque of 12 kip in. and a...Ch. 9.3 - A paper tube is formed by rolling a cardboard...Ch. 9.3 - Solve Prob.931 for the normal stress acting...Ch. 9.3 - Determine the principal stresses in the...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 9.4 - Use Mohrs circle to determine the normal stress...Ch. 9.4 - Also, find the corresponding orientation of the...Ch. 9.4 - Draw Mohrs circle and determine the principal...Ch. 9.4 - Determine the principal stresses at a point on the...Ch. 9.4 - Determine the principal stresses at point A on the...Ch. 9.4 - Point A is just below the flange.Ch. 9.4 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine the equivalent state of stress if an...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - Draw Mohrs circle trial describes each of the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - The grains of wood in the board make an angle of...Ch. 9.4 - A spherical pressure vessel has an inner radius of...Ch. 9.4 - The cylindrical pressure vessel has an inner...Ch. 9.4 - If the box wrench is subjected to the 50 lb force,...Ch. 9.4 - If the box wrench is subjected to the 50-lb force,...Ch. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - The solid shaft is subjected to a torque, bending...Ch. 9.5 - The frame is subjected to a horizontal force and...Ch. 9 - Prob. 1RPCh. 9 - The steel pipe has an inner diameter of 2.75 in....Ch. 9 - Determine the equivalent state of stress If an...Ch. 9 - The crane is used to support the 350-lb load....Ch. 9 - Determine the equivalent state of stress on an...Ch. 9 - The propeller shaft of the tugboat is subjected to...Ch. 9 - Determine the principal stresses in the box beam...Ch. 9 - Determine (a) the principal stresses and (b) the...Ch. 9 - Determine the stress components acting on the...
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- This is not a quiz question. It is part of a study review with the solution given.arrow_forwardQ/ If the cross section of the femur can be approximated as a circular tube, determine the state of stresses on the points A and B at section due to the loads as shown in figurearrow_forwardThe wide-flange beam is subjected to the P = 54 kN force. Determine the principal stresses in the beam at point A located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula to calculate the shear stress. (Figure 1)arrow_forward
- The book is subjected to the force of 60 lb Determine the state of stress at point A at section a-a. The cross section is circular and has a diameter of 0.5 in. Use the curved-beam formula to compute the bending stress (Figure 1) Figure 1.5 in. 13 45° B 1 of 1 > ▾ Part A Determine the normal stress. Express your answer using three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. g= Value Submit Part B ← A psi Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ✓ Correct < Return to Assignment Ċ 129 ? Determine the shear stress Express your answer using three significant figures and include the appropriate units. T= 0 psi Previous Answers Provide Feedbackarrow_forwardThe simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.arrow_forwardProvide the complete solution.arrow_forward
- The following shaft is free at A and connected to a fixed support at C. The shaft has a solid circular cross section with radius equal to 25 mm. given the two external forces at section A: (a) Determine the internal loading components at section B. (b) Determine the combined shear stress at point P located on top of section B. (c) Determine the combined normal stress at point P.arrow_forwardX A purse hook is used to hang a handbag from the edge of a table with L = 50 mm. If the cross section at a-a has a diameter of d = 3 mm and the hook is supporting a purse with a mass of 3 kg, determine the normal stress profile. For what value of y (using the coordinates pictured for section a-a) with the normal stress be zero. If it is never zero enter "nde" for "not defined". N -L→ a. a AB C Follow sign convention that tension is positive and compression is negative. Normal stress at point A, σA= MPa Normal stress at point B, σB = MPa Normal stress at point C, σc = MPa y position where normal stress equals zero = mm Section a-a darrow_forwardanswer quicklyarrow_forward
- Determine the maximum tensile (fot) and compressive (foc) stresses (psi) developed in the overhanging beam. The cross-section is an inverted T with the given properties 1,500 lb 3,000 lb 1,000 lb 7 in N.A. 2 in 6 ft 6 ft = 84 in R1 R2 3.arrow_forwardThe compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is 1st2allow = 150 MPa and the allowable bearing stress for the wood is 1sb2allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.arrow_forwardDetermine the maximum tensile and compressive stresses in portion AC of the beamarrow_forward
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