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Q: Strength of Materials Lecture-1 Example 1.2 Rigid bar ABC is supported by a pin at A and axial…

A: Given data: A=540 mm2.

Q: solve the differential equation of the deformation of the beam below.

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Q: The normal stress (kN/cm2) at the K point resulting from the tensile force of P=1000 kN acting from…

A: Introduction : Bending Equation : Pure Bending: When bending happens exclusively due to coupling on…

Q: An aluminum tube, 1.2m long, has the semi circular cross section shown in the figure. (a) Determine…

A: Given :

Q: The figure shown is the cross section of an endspan of a fully restrained beam that carries a moment…

A: Consider the given data Bending moment=200 kN-m=200×106 N-mm a.} Centroid of the cross section…

Q: OBLEM: The beam shown is made by gluing together four pieces 300mm x 12mm wooden planks 8 kN 5 kN/m…

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Q: The cross section of a beam shown carries a moment of -50 kN-m. Determine the following: (a) The…

A: First of all we have to find the neutral axis (N.A) of the given section. Then  we have to find the…

Q: The force p is applied at d=50 mm from the bottom as shown in the figure. Compute the normal stress…

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Q: 5.2 The magnitude of the bending moment acting on the circular cross section of a beam is M- 30000…

A: Given : Bending moment at cross-section, M = 30000 lb-ft…

Q: Find normal stress at point P

A: Given,  Figure shows a machine frame, Horizontal force,F= 600 NParallel to z-direction.Thickness,T=…

Q: Determine the state of stress a point A on the cross section a-a, finding the normal and shear…

A: Show the free body diagram of the beam and section a-a as in Figure (1).

Q: M 300 mm B A. 40 mm C 200 mm D LE 40 mm 40 mm

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Q: Find the value of force which produces stress of 20 N/mm2 on cross sectional area of 5 mm2

A: Given data : The value of stress σ=20 N/mm2 The value of cross sectional area A=5 mm2   Required :…

Q: PROB. 21 22. A beam made up of two unequal leg angles is subjected to a bending moment M having its…

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Q: For the two dimensional state of stresses snown in tne rigure, Tina ine normal and shear stresses…

A: As per our guidelines we are supposed to answer first question. So please you are requested to…

Q: A hollow steel shaft has length of 4 meters with a circular cross-section. The outer and inner…

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Q: Problem Sets - 1: The thin-walled tube is used as a beam to support the uniformly distributed load…

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Q: For the cantilever beam shown in the figure, find (a) the maximum bending stress and its location;…

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Q: Determine the stress in rod if tensile force applied of 35 N having cross sectional area of 50 mm2

A: Given  Tensile force F= 35 N Crossectional area A= 50 mm2

Q: Problem 1. From the given beam and loading in the figure. a. Determine the neutral axis of the beam…

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Q: the loading shown, determine (a) the stress at points A and B, the point where the neutral axis…

A: A=4*1.8=7.2 in3 Iz=(4*1.83)/12=1.944 in4 Iy=(1.8*43)/12=9.6 in4

Q: The couple M acts in a vertical plane and is applied to a beam as shown. Determine th stress at…

A: Consider the given data

Q: ne the following for the given state of stress using the equatic a. Principal Stress and Principal…

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Q: If the beam is subjected to an internal moment of M = 3 kN.m Determine: i. The maximum compressive…

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Q: A steel strip of length, L = 200 mm is fixed at end A and rests at B on a vertical spring of…

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Q: 1. A steel bar of circular cross section with 20mm diameter is supported by three springs and loaded…

A: Due to 2KN force at 300 mm from left in left direction Spring 1 & 2 will experience tensile…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in., b = 6.2 in., d = 4.0…

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Q: 2. Rods AB and BC have diameters of 4 mm and 6 mm, respectively. If the 3 kN force is applied to the…

A: Draw free body diagram From the above figure, calculate the angle α sinα=35α=sin-10.6α=53.13o

Q: The rigid beam AB is loaded with two forces each 31 kN and the 30-mm-in-diameter and…

A: Given:- P=31kNd=20mmL=1.25mDC=3.881mTo find:-Angle in rad by which rigid beam AB will rotate

Q: The differential element above represents the state of plane stress at a pont J steel beam. Which of…

A: Given data: σX=60 ksiσY=-20 ksiζXY=40 ksi

Q: Find the value of stress Force=2 N Area=2 mm2

A: The given question is related with solid mechanics . In this question we are provided with value of…

Q: 3) Obtain the maximum bending moment Mx that the cross section given below can safely carry. The…

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Q: 1. A steel bar of circular cross section with 20mm diameter is supported by three springs and loaded…

A: Tensile force will apply on Spring 1 & 2 and on 300mm length of concrete from left Compressive…

Q: A: The simply supported beam in Figure below has a rectangular cross section 100 mm wide and 200 mm…

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Q: 1. The cross-sectional area of bar ABCD is "X" mm². Determine the maximum normal stress in the bar.…

A: The formula to calculate the normal stress is given by, σ=PA                    ...1 Draw the…

Q: 3 ksi S ksi iven the state of stress above (ignore 70° plane): calculate the maximum she ress,…

A: To find maximum shear and principal stress

Q: Given the following state of stress | Ox = -2x² dy = 3x? – 2y² + 5z 0z = -5+ 3y + x + 3z Txy = -7+…

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Q: 4. Refer to figure 2. Determine the normal stress of the bar AB if it has a diameter of 20 mm. Set…

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Q: 4. A column is to support a statue concentrically that weighs M KN. The cross section of the column…

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Q: b 7'

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Q: A vertical rod PQ of length L is fixed at its top end P and has a flange fixed to the bottom end Q.…

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Q: Question 1 Find the state of of stress for the element in Figure Q1 inclined by 30° counter…

A: Given data  Tensile load Compressive load  Shear stress Angle of plane

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…

Q: 3) Obtain the maximum bending moment Mx that the cross section given below can safely carry. The…

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Q: Determine the Moment of Inertia and the Bending Stress at A 20 mm r = M = 2.8 kN · m %3D 30 mm В 30…

A: Solution: Given that M=2.8 kN.m Moment of inertia of the given section: I=bh312-214πr4b=120 mmh=60…

Q: What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of…

A: Torque: - It is defined as the force which has tendency to rotate the body about an axis.

Q: state of stress at a point is shown below in which length of AB is 4. If o = 120 MPa, T = 80MPA,…

A: Normal stress and resultant stress on 45 degree angle is given  Major principle and minor principle…

Q: A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has…

A: Given: Length, L = 300 mm Force, F = 414 N Modulus of Elasticity, E = 2 x 105 N/mm2 Moment of…

Q: Q.2) For the shown structure, it is required to draw the normal stress distribution at section S-S.…

A: Given  A frame Required  Normal stress distribution at section S-S

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.