The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the normal stresses σn and σt and the shear stress τn⁢t at this point if they act on the rotated stress element shown.

Q: Determine the principal stresses and the absolute maximum shear stress. 2.5 ksi 4 ksi 5 ksi

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Q: Determine the principal stresses and the maximum shear stress correspondin the plane stress state…

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Q: A mild steel shaft transmits ‘P’ kW at ‘N’ r.p.m. It carries a central load of 900 N and is simply…

A: Given data, Central load  W= 900 N  allowable shear stress  = 42 MPa The maximum tensile or…

Q: At a point in a stressed body, the cartesian components of stress are Oxx = 60 MPa, Guy = -40 MPa,…

A: Given Data σxx=60 Mpa σyy=-40 Mpa σzz=20 Mpa τxy=-40 MPa τyz=20 MPa τxz=30 MPa Stress tensor,…

Q: Three loads are applied to the short rectangular post shown. The cross-sectional dimensions of the…

A: GivenFy=160kN=160×103 NFx=-100 kN=-100×103 NFz=-70 kN=-70×103NNow from above diagram we…

Q: Q2: A șteel pipe with an outside diameter of (95 mm) and an inside diameter of (85 mm) supports the…

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Q: A 15 mm B 100 m 10 mm C

A: dia of brass rod AB = 15 mm dia of brass rod BC = 10 mm length of combined rod (AB + BC) = 100 mm…

Q: A mild steel shaft transmits 21 kW at 250 r.p.m. It carries a central load of 900 N and is simply…

A: Given Data  Power transmit, P=21KW N=250 rpm Load, P=900N Allowable shear stress, T=42MPa

Q: Determine the principal stresses and the absolute maximum shear stress.

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Q: if the maximum and minimum principal stresses at a point are (27 Mpa) and (5 Mpa) respectively. The…

A: Maximum shear stress is equal to difference of maximum principal stress and minimum principal stress…

Q: At a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy=…

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Q: force Q of magnitude 9 kips is applied to the machine element AB as shown. The uniform thickness of…

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Q: A water tank 8 m in diameter and 12 m high has an internal pressure of 117.72 kPa. Determine the…

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Q: Three forces are applied to the machine component ABD as shown in Figure 2. Knowing that the cross…

A: Stresses due to load at D Transverse shear stress    TD=P1ACwhere P1=2.5 kN=2500 Nand AC=40x20…

Q: For the state of plane stress shown in Fig. (a), determine the maximum in-plane shear stress and the…

A: (a) The maximum in-plane shear stress: 15 ksi  (b) The absolute maximum shear stress: 25 ksi

Q: Find the value of maximum principal stress Maximum shear stress=80 MPa Minimum principal stress=30…

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Q: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…

A: Given:- σx=70 MN/m2σy=50 MN/m2τxy=30MN/m2θ=30° To find:- The magnitude of the normal, tangential,…

Q: 30 mm and 40 mm, respectively. Determine the principal stresses and

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Q: Determine the principal stresses and the absolute maximum shear stress.

A: Given: The normal stress on the vertical plane is σX=20 ksi. The normal stress on the horizontal…

Q: The inner and outer diameters of the pipe is 50 mm and 75 mm, respectively and it is made of cast…

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Q: Determine the following using the formula & Mohr Circle a) Principal stresses b) Normal and Shearing…

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Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

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Q: Determine the maximum shear stress (in ksi). AT = 654 lb ft Diameter =3.7 in J =1.5in4 G = 11,000…

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Q: 1. A water tank 3 m in diameter and 6 m high is made from a steel with thickness of 10 mm. a) When…

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Q: At a point in a piece of elastic material direct stresses of 90 MN/m2 tensile and 50 MN/ m2…

A: The stress acting in the x direction is The stress acting in the y direction is The principle…

Q: A water tank made from a steel having a thickness of 12mm has the following dimensions. Internal…

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Q: 350 mm, tw = 7 mm, and h = 117 mm. Determine the principal stresses and the maximum shear stress…

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Q: A cylindrical steel pressure vessel has an inner radius of 24 inches and wall thickness of 0.25…

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Q: A cylindrical storage tank contains liquefied propane under a pressure of 1.5 MPa (gage pressure…

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Q: 800 N D 120 N.m d = 8 cm 600 N Q / If the cross section of the femur can be approximated as a…

A: 1. Stress due to eccentric load of 800N P2 and 800N will create a momentMoment due to this…

Q: 1: The inner and outer diameters of the pipe is 50 mm and 75 mm, respectively and it is made of cast…

A: The normal stresses will be acting due the normal forces as well as bending moments on the rod. The…

Q: determine (a) the principal stresses and their principal planes, (b) the maximum shear stress and…

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Q: An aluminum wire 3.0 m in length and 4.0 mm in diameter supports a 1000 N mass. Determine     the…

A: Write the expression of the cross-sectional area of the wire.

Q: a) the principal stresses; and (b) the maximum in-plane shear stress.

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Q: Bi-axial state of stress at a point is shown below. What will be the value of principal stresses and…

A: From the given figure, σx = 100 MPa σy = 80 MPa τxy = 50 MPa

Q: In a cylindrical container, Gas is compressed to a pressure of 3 MPa. If the cylinder has a diameter…

A: Boiler shells, pressure tanks, pipes, and other low-pressure processing equipment all use…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

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Q: (7) For the state of plane stress shown in the figure, determine the normal and shear stresses…

A: Given data: The stress in the x-direction is σx=-50 MPa The stress in the y-direction is σy=0 MPa…

Q: The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress…

A: Given that, Normal stress in x-direction, σx=80 MPa,Normla stress in y-direction, σy=-40 MPa,Shear…

Q: A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The…

A: There are two types of stresses that generate in in  thin Pressure vessel.  1) hoop stress that try…

Q: The assembly is subjected to a tension force P = 2500 N. If these cables are arranged in a parallel…

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Q: For the given stress element, consider the magnitude for oA, OB, and t to be 15.0 MPa, 40.0 MPa, and…

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Q: Determine the stresses at points A and B as a results of applying each of the following internal…

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Q: b. Determine the maximum value of the average normal stress points C and E. 0.4 m c. Determine the…

A: Here we have given P=20 kNdiameter d= 16mm∑mB=020(0.25)=-FCE(0.4)FCE=-12.5 kN (compr)

Q: Determine the absolute maximum shear stress of the stress state acting on the element shown in the…

A: It is required to determine absolute maximum shear stress

Q: Direct stresses of 160N/mm2 tensile and 120 N/mm2 compressive exist on two perpendicular planes at a…

A: Given, σx = 160 N/mm2  (Positive value is because of tensile nature)σy = -120 N/mm2 (Negative value…

Q: The stresses shown act at a point in a stressed body. Assume stress magnitudes of Sx = 13,300 psi,…

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Q: It is required to find the dimensions of thick cylinder which has internal diameter of (150+SN) mm…

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Q: At a point in a stressed body, the known stresses are o, = 15 ksi (T). o, 12 ksi (T). oz = 11 ksi…

A: Given Dataσx=15ksiσy=12ksiσz=11ksiτxy=3ksiτyz=-4ksiτzx=0θ1=41°θ2=61°θ3=63.77°

Q: The puncher is to drive a 25 mm diameter hole to a steel plate. If the allowable axial stress of the…

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Q: 150 mm 300 mm 250 mm F A H d. y F 200 mm 200 mm E Figure Q1(b)

A: Given: F = 200 N and P = 150 N Outside diameter of the pipe, do = 45 mm Inside diameter of the pipe,…

Q: Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

A: As Given in case (1); σx= -60 N/mm2 , σy= -36 N/mm2 , ζxy= 5 N/mm2 So the principal stresses will be…

Q: Given the following plane element determine a. The principal stresses b. The principal angles (no…

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Q: Determine the principal stresses, the maximum in-plane shear stress, and average normal stress.…

A: Given: The normal stress in the x-direction is бx=30 MPa The normal stress in the y-direction is…

Q: The state of plane stress at a point on the surface of the airplane fuselage is represented by the…

A: To find-  1. The maximum principal stresses and the maximum in plane shear specifying the…

Q: Neglecting the weight of the bracket, calculate the three principal stresses, and absolute maximum…

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Q: At a point in a stressed body, the known stresses are o, = 42 MPa (T), o, = 16 MPa (C), o, = 22 MPa…

A: Given, σx=42MPa(T)σy=16MPa(C)σz=22MPa(T)τxy=40MPaτyz=0τzx=27MPal=cos…

Q: b) The maximum in-plane shear stress and average normal stress. Sketch the results on a properly ori…

A: A: Formula:

Q: For the shaft shown below, determine the normal and shear stresses acting on the element located at…

A: To find: The normal shear stress acting on the element located at point A, draw stress element at A,…

Q: At a point on the flat surface of a member, load-stress relations give the following stress…

A: GIVEN: σxx=100 MPaσyy=0σzz=100 MPa τxy=20 MPaτxz=0τyz=20 MPa To find the principle stress σ2 and its…

Q: The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi…

A: Among the applied normal stresses on mutually perpendicular planes the stress corresponding to…

Q: 3. Listed below is a combination of stresses acting at a point and referred to axes  x and y in an…

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Q: Q2: Determine the state of stresses at point A on the cross section of the pipe shown in Fig. D=50mm…

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Q: 2.6. The principal stresses at a given point are ơ1 =10 ksi, o2 =5 ksi. Sketch Mohr's circle for…

A: givenσ1=10ksiσ2=5ksi

Q: The inner and outer diameters of the pipe is 50 mm and 75 mm, respectively and it is made of cast…

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Q: For horizontal flexural member AB, determine the principal stresses and the maximum shear stress…

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Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.