Consider the beam section illustrated in the figure to the right. The beam has a shearing force of V = 5 kN acting vertically through the shear centre as illustrated. Determine the shear stress at the points in the beam section, labelled (i), (ii), (iii) and (iv).

Consider the beam section illustrated in the figure to the right. The beam has a shearing force of V = 5 kN acting vertically through the shear centre as illustrated. Determine the shear stress at the points in the beam section, labelled (i), (ii), (iii) and (iv).

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: The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in., b = 6 in., d = 4.0…

Q: 1) In the system given in the adjacent figure, the normal stress that will occur in the a-a section…

A: Normal stress = δn ≤ 150MPaShear stress = T = 60MPaCross section of BC = xy = 53mm

Q: A SHORT compressive force as shown in Figure Q3a. (a) column with an I-section is subjected to an…

A: To find out the bending moment about x and y axis and also find out moment of inertia and stress.

Q: The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5…

A: The triangular plate with dimensions as shown in the figure below,Horizontal displacement,

Q: The internal shear force at a certain section of a steel beam is V=7.2kN. The beam cross section…

A: Given:- Shear force, V=7.2 KN To find:- a Shear stress at point Hb Shear stress at point Kc Maximum…

Q: 4 75 8. 75° 30

Q: 3. Determine the maximum shearing stresses and the associated normal stresses for the state of…

Q: C A D B 0.25 m 0.5 m 0.15 m

Q: 3.18 The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the…

Q: The grain of the wooden member forms an angle 15° with the vertical. For the state shown in Figure…

A: Mohr's circle Mohr's circle is a graphical depiction of a point's overall condition of stress. It is…

Q: 1. The lap joint in Figure 1 is connected by three-20 mm diameter rivets. Assuming at the axial load…

A: Given data in question Load Diameter To find out Shear stress Bearing stress Maximum average…

Q: The three member frame is subjected to the distributed load as shown in figure 1. Determine: a. Draw…

A: Given :

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b = 5.6 in., d = 5.0…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.6 in., b = 5.2 in., d = 4.1…

Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: Q.6 A beam has solid circular cross-section having diameter d. If a section of the beam is subjected…

Q: The cross-sectional dimensions of the beam shown in the figure are a -4.8 in., b = 6 in., d=4.0 in.,…

A: Given data: Mz=-4.2 kip-ft

Q: For the stressed elements allocated to you, find the values and sketch the orientations: a) Maximum…

A: Given data, Compressive stress along the y-axis, σy = -80 MPa Tensile stress along x-axis, σx= 40…

Q: For the given state of stress of element A, strictly using Mohr's Circle perform the following:…

Q: 3. b) The state of stress at a point is shown on the element. Using Mohr's cicle, determine The…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.7 in., b = 6.3 in., d = 4.3…

A: Given data: MZ=-3.6 k.ftMZ=-3.6×103×12 lb.in

Q: The T section shown in Fig. is the cross-section of a beam formed by joining two rectangular pieces…

A: Given : Max. shearing force in beam = 60kN This is a problem of solid mechanics where we are asked…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.0 in., b = 5.3 in., d = 4.5…

A: Given: The value of a is 4 in. The value of b is 5.3 in. The value of d is 4.5 in. The value of t is…

Q: The internal shear force V at a certain section of an aluminum beam is 40 kN. The beam's centroid is…

A: V = 40 kN, Location of Centroid from bottom = 54.4 mm, Moment of Inertia, Iz = 398300 mm4

Q: A steel beam is subjected to a maximum shear force of 80 kN. The cross-section of the beam is shown…

A: Dimesions of beam areFlange thickness =40mmFlange width =200mmWeb thickness =20mmWeb depth…

Q: Question 4 (a) For the beam and loading shown in Figure Q. 4a, draw the shear force and bending…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.3 in., b = 5.3 in., d = 4.2…

A: Given- Mz= -4.40 kip-ft a=4.3 in b=5.3 in d=4.2 in t=0.32 in It is asked to find 1. Maximum…

Q: The cross-sectional dimensions of the beam shown in the figure are a - 4.5 in., b - 6.1 in., d = 4.6…

A: Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum…

Q: The split ring shown has an inner radius r1 = 0.6 in. and a circular cross section of diameter d =…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b= 5.1 in., d= 4.3…

A: Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum…

Concept explainers

Planar Stresses

Question

Consider the beam section illustrated in the figure to the right. The beam
has a shearing force of V = 5 kN acting vertically through the shear centre as
illustrated. Determine the shear stress at the points in the beam section,
labelled (i), (ii), (iii) and (iv).
35
2
shear
centre
2
35
+
e
AN
V
AY
40 2
40
(ii)
(iii)
(iv)
2
2
120

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 by step

Solved in 2 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

Solve it correctly
Please include free body diagrams. Need asap
The bronze shaft is formed by attaching a hollow shaft to a solid shaft. The allowable shear stress of bronze is 100 MPa. Use G = 35 GPa for bronze. a. If the torque applied is 15 kN m, determine the maximum shearing stress developed in the bronze shaft b. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 100 MPa or an angle of twist of 3.5 in the 3.5-m length.
Problem 2. [Concepts: Internal forces in 2D and average normal stress] The bars of the truss each have a cross-sectional area of 1.25 in². a) Determine the average normal stress in each member due to the loading P = 8 kip. State whether the stress is tensile or compressive. b) If the maximum average normal stress in any bar is not to exceed 20 ksi, determine the maximum magnitude P of the loads that can be applied to the truss. 4 ft 4 ft 4 E 0.75 P 0
4. Part AB of the bar has a solid circular cross section and part BC has a hollow circular cross section. The bar is fixed at both ends and a 150-in-kip axial torque is applied at B. Suppose that you want to decrease the weight of the bar by increasing the inside diameter of part B. The bar is made of material that will safely support a pure shear stress of 10 ksi. Based on this criterion, what is the largest safe value of the inside diameter? 4 in 2 in 150 in-kip A -14 in 7 in
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Calculate the shear strain, Yxy, at A. Also, calculate the average normal strain & along the x' axis. 800 mm 45% 45° 800 mm 5 mm
9. A single horizontal force P of magnitude 900N is applied to end D of lever ABD shown in the figure below. Knowing that portion AB of the lever has a diameter 36mm, determine a) the normal and shearing stresses on an element located at point H and having sides parallel to the x and y axes, b) the principal planes and the principal stresses at point H. 300 mm 120 mm y B H A 540 mm 36 mm P D
n=8
The cross-sectional dimensions of the beam shown in the figure are a = 4.6 in., b = 5.7 in., d = 4.9 in., and t= 0.31 in. The interna bending moment about the z centroidal axis is M_= -4.45 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam.