The cross section of a beam made to carry vertical transverse loads is shown. If the neutral axis is at 35 mm below the top fiber, what is the maximum transverse shear stress at element a (in terms of the internal shear force V and centroidal moment of inertia I)?

The cross section of a beam made to carry vertical transverse loads is shown. If the neutral axis is at 35 mm below the top fiber, what is the maximum transverse shear stress at element a (in terms of the internal shear force V and centroidal moment of inertia I)?

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: Determine the shear strain Yxy at corners D and the plastic distorts as shown by the dashed lines. 3…

Q: 1. Determine the maximum tensile and compressive bending stresses in the beam shown. 4 kN/m 200 mm 1…

Q: The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli…

A: Given Es=200GPa EA=75GPa Maximum stress in aluminium=50MPa

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.4 in., b = 5.9 in., d = 4.8…

A: Solution: Given: The cross sectional dimensions. a=4.4 in b= 5.9 in d= 4.8 in t= 0.31 in Moment…

Q: How to make a effective stiffness matrix for this figure? The bending stiffness is 2EI A B.

A: In the diagram there are 3 global degree of freedom Q1,Q2,Q3 , Calculate the developing stiffness…

Q: For the beam shown below, Find the bending stress at point A. 50 kN 1.9 m 28 a 28 a 120 20 3 m 3 m

A: Since the unit of distance from top fibre is not mentioned we assumed to be 28 cm or .28 m The…

Q: 3. The tensile member shown, 60 mm x 90 mm in cross section is subjected to a load P=300 kN. The…

A: Solution Given Data: P= 300 KN Cross-section area A=(60mm×90mm) Angle with horizontal axis= 140

Q: A beam having the cross-section shown below is subjected to a positive bending moment of 40 kN.m in…

Q: 1.3 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the…

A: Determine the magnitude of the force P for which the tensile stress in rod AB has the same magnitude…

Q: A rectangle of an elastic material is deformed in the x, y plane as represented by the dashed lines.…

A: Given: E=300 MPa and poisson ratio μ=0.4No deformation in Z directiona Normal strain strain in x…

Q: A 200 kN force is applied at the free end of the cantilever beam as shown in the figure below. What…

Q: The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli…

Q: A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of…

Q: Figure Q2 shows a simply supported beam carrying two point loads. The beam has the cross-section…

A: Figure is as shown

Q: PROBLEM 4: An originally rectangular rubber piece is deformed into the shape given by the dashed…

Q: Problem II. An exhaust gas piping fabricated as shown is subjected to a bending moment, an internal…

Q: Determine the stress concentration factor for the beam shown below that has a fillet to the larger…

A: step 1-

Q: After load Pis applied to the pin-connected structure shown, a normal strain of ɛ= + 770 uɛ is…

A: Given data Normal strain = 770 × 10 -6 in /in E= 29000 ksi Yield strength = 42 ksi

Q: A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A beam under load experiences sagging with a maximum bending moment of 24 x 106 Nm. The beam has a…

A: Calculate the maximum tensile stress and the maximum compressive stress for this beam.

Q: A steel beam (E = 208GPa) has square cross-section (edge = 40mm) and is constrained and loaded as in…

Q: M N M X 8 mm N 8 mm t 50 mm 8 mm 50 mm

Q: Using critical stress to show the shear effect is negligible in solid steel simply supported column…

A: Structural engineers get a genuine pride when a venture is done, regardless of whether it is a high…

Q: For the shape below, what is the normal strain along AC given x = 2.9mm and y = 1.2mm. Assume C…

A: Given- X=2.9 mmy= 1.2 mmAB=300 mmAD=400 mm

Q: A standard steel shape (I=48.7x10 mm ) is used to support the loads shown on the beam in the figure.…

A: Given data I = 48 .7 × 106 mm4 Neutral axis from top (yt) = 88.9mm Neutral axis from bottom(yb) =…

Q: A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A beam is supported as shown, and its cross-section is rectangular with a=5 cm and w= 2 cm. What is…

A: Solution Given Data a= 5 cm w= 2 cm

Q: A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown.…

Q: Question 2 A simply supported beam AB has a concentrated load P applied at mid-span. The state of…

A: step 1-

Q: The wide-flange beam is subjected to (Figure 1) Figure 200 m

Q: For a beam with the cross-section shown and loaded as shown, find the magnitude of the maximum…

Q: section. Find the maximum tensile stress fbtMAX and maximum compressive stress

Q: Problem 7: The rectangular plate is deformed into the shape shown by the dashed lines. Determine the…

Q: PROBLEM 1: The frame shown in the figure is carrying a traingular distributed load. Pins at A and B…

A: Data given: The frame is carrying a triangular distributed load of w = 8 kN/m Allowable tensile…

Q: Q1: If the beam with T section shown in Figure I is subjected to a positive bending moment 75N.m .…

Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

The cross section of a beam made to carry vertical transverse loads is shown. If the neutral
axis is at 35 mm below the top fiber, what is the maximum transverse shear stress at element
a (in terms of the internal shear force V and centroidal moment of inertia I)?
-160 mm
20 mm
100 mm
b
30 mm
30 mm
30 mm
20 mm
Select one:
а.
500-
O b. 4000
I
2800-
I
с.
O d. 2000T

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

The given cross section is

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

Find stress Force 1 N Cross sectional Area=0.2 mm2
A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 220 mm. The cross-sectional dimensions of the tee shape are b = 18 mm, d = 27 mm, and t = 6 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P
The following statement is true or false? Transverse shear forces in beams cause non-linear shear stress distributions over the cross section. True False
The 2-inch-diameter rod is subjected to the loads shown. Determine the state of stress at points A and B and sketch the results for each on a 3D and 2D stress block. Cross Section Properties: \B '8 in. ´A 600 lb 12 in. 500 lb 800 lb Free Body Diagram:
E3
B3
In the question in the image you can see a T-beam, but instead for solution assume inverted T-beam and solve according to that. Nothing else changes.
Q1: If the beam with T section shown in Figure I is subjected to a positive bending moment 105 N.m . determine the following: 1. The location of the centroid measured from the top fiber in (mm) 2. The moment of inertia about the centroidal x axis (mm) 3. The maximum compressive stress in (MPa) 4. The maximum tensile stress in (MPa)
Part B - The internal reaction at B Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F = 5 kN. F₂ = 3 kN, and F₁ = 2 kN. Calculate the internal resultant normal force at section B. Express your answers to three significant figures in kN. ▸ View Available Hint(s) PB = Submit ΨΕ ΑΣΦΠ Part C - The internal reaction at D PD = Submit D] ΑΣΦΩΤ vec Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁, F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section D. Express your answers to three significant figures in kN. ▸ View Available Hint(s) Part D - The average normal stress µA vec Value P * ? ? Units KN 2 ? Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D. What is the average normal stress in the section with the maximum magnitude stress? Express your answer to three significant figures…
A beam of rectangular cross-section 40 x 20 mm is loaded with tensile force 1000 N as shown in figure. A B BO Calculate the shear stress on oblique plane at 0 = 45° A 0.625 MPa C 0.31 MPa F D 1.25 MPa
A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 165 mm. The cross- sectional dimensions of the tee shape are b = 19 mm, d = 29 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 480 µɛ is measured from a strain gage located at c = 5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P |1 Strain gage- d D E 2 H b Answer: P= i N
A 200 MPa shear stress is applied on along CD. Calculate diagonal strain along AC. Given modulus of elasticity is 120 GPa and Poisson's ratio is 0.2. 200 MPa A B Diagonal strain will be in the form of k x 10-3 Find 'k'