Q.1 A 2 m solid steel bar of diameter 100 mm is subjected to a axial tensile load of 100 kN. Find the increase in length of the bar. Also find the stress and the strain produced in the bar. Take E = 200 kN/mm?.
Q: The figure below are timber planks joined together by a bolt with the corresponding measurements.…
A: Given data: τw=10 ksiσb=20 ksid=34 in Need to determine the maximum safest value of P.
Q: A plastic bar of diameter d 5 56 mm is to betwisted by torques T (see figure) until the angle…
A:
Q: Q2: A bar of steel, having a rectangular cross-section of 7.5 cm by 2.5 cm (see figure below),…
A:
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 110 mm…
A: stress is defined as the force per unit area.
Q: A steel rod with a cross-sectional area of 0.20 in is stretched between two fixed points. The…
A:
Q: A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…
A:
Q: Find stress of a aluminum cylinder of diameter 12.8mm and gauge length 50.8mm. The force applied is…
A:
Q: Example 7 A steel bar of cross-sectional area 200 mm2 is loaded as shown in Fig. Find the change in…
A:
Q: A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see…
A:
Q: Find the final length of the bar of an aluminum alloy with a modulus of elasticity of 68.8 GPa,…
A:
Q: Given a shear stress of Txy = 5000 psi and a shear modulus of G 1.15 x 107 psi, find the shear…
A:
Q: 6) A steel rod with a cross-sectional area of 0.25 in? is stretched between two fixed points. The…
A:
Q: A 4-mm-diameter steel wire, 3.2 m long, carries an axial tensile load P. Find the maximum safe value…
A:
Q: Find the strain energy of a steel rod, of diameter 20 mm and length 400 mm, when it is subjected to…
A: Given:d=20 mmlength, l=400 mmP=40 KNE=200 GPa
Q: 1. Axial bar loaded as shown in figure. Find the stress, strain and elongation at the tip of the…
A: Given, Length of the bar = L = 40 in Diameter of the bar = d = 1 in Load applied = P = 1000 lb…
Q: 2. A hollow cylinder 2 m long has an outside diameter of 50mm and inside diameter of 30mm. If the…
A:
Q: A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The…
A: (a) The shortening in the bar can be determined as,
Q: A cylinder has an ID of 100 mm and an internal pressure of 50 MPa. Find the needed wall thickness if…
A: Given data: cylinder Internal diameter=Di =100mm Internal pressure=Pi…
Q: 5. A platform is suspended by two parallel rods, as shown in the sketch, with each rod being 1.28 cm…
A:
Q: answer as soon as possible
A: The eccentric load is acting on the cube. Due to this, there will two types of stress generated…
Q: A 2 in diameter steel tube with a wall thickness of 0.5 inch just in a rigid hole. Find the…
A: Ans(b) stress acting in y-direction σy=PA=3140π(2)(0.05)=31400π psi Hence the stress acting in the…
Q: 1. A rectangular plate 50 mm x 10 mm with a hole 10 mm diameter is subjected to an axial load of 10…
A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…
Q: For the steel block (Length L = 5-meter, Width W = 1 meter, Height H = 1 meter) with compression…
A:
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm…
A: The given values are - Dimensions 120×45×43 mm3Poisson's Ratio μ= 0.3E= 140 GPa=140×103 MNm2 Tensile…
Q: A -in-diameter steel tension rod is 5 ft long and carries a load of 15 kip. Find the tensile stress,…
A:
Q: Figure 1 shows a rigid pipe being supported by a pin at A and a steel wire BD. The BD wire has a…
A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…
Q: A 3/4 -in-diameter steel tension rod is 6 ft long and carries a load of 15 kip. Find the tensile…
A: Given data: Diameter of rod = 0.75 inch = 0.01905 m Length of rod = 6 ft = 6 x 12 = 72 inch =…
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: uniformly distributed stresses acting on the side faces plate are b = 10 in. t = 0.75 in.., E =…
A: Given data Width (b) = 690mm = 69*10-³m Thickness (t) = 40mm = 40*10-³m E = 41 Gpa = 41*10⁹ V =…
Q: he beam supports an 80 kg vertical mass applied at D. The beam is pinned to the wall at point A and…
A: Here, BC=15cm×15cm E=70GPa Load at D, FD=80×g=80×9.81N=784.8N Taking moment about point A. ∑MA=0…
Q: A rail line is laid so that there is no stress in rails at 15°C. The rails are 500000 mm long. α =…
A:
Q: 3. The figure shown is fabricated from a 20 mm steel plate. Find the max longitudinal and…
A:
Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…
A:
Q: 6- If the original length of steal rod is equal to AL /2 with strain value is 3AL find the change in…
A:
Q: At a point in a steel structure (Y = 490 MPa, E = 200 GPa, v = 0.29), the principal stresses are oj…
A:
Q: A solid stee between rigid walls. If the stress in the bar is zero at 27° what will be the stress…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: and (b) the ratio o 3.51 Fig. shows a circular steel bar. (a) and Fig. square st T applied to them.…
A: Given:r=aπ
Q: 2. A researcher plans to test a thin sample of a biopolymer under planar loading. Prior tests have…
A:
Q: A hollow steel cylinder (length l=300mm) inside diameter d=150mm wall thickness t=3mm is filled with…
A: Length (l) = 300 mm Inside diameter (di) = 150 mm Outside diameter (do) = 156 mm Load ( P ) = 500…
Q: 'igure Q5 shows few loadings applied on bar ABD. Suppose the diameter of the bar is 120 mm, and…
A:
Q: A closely coiled helical spring is made of 6 mm diameter steel wire, the mean diameter of the coil…
A: Given: axial load = 529 N coil mean diameter = 60 mm wire diameter = 6 mm
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 125 mm…
A:
Q: For the rigid beam , find stresses in the two suspended rods to the applied load and an in change in…
A:
Q: A circular rod of diameter 8 mm and 300 mm long is subjected to a tensile force 20 kN. Take E =…
A: Given data:
Q: Q2: A bar of steel, having a rectangular cross-section of 7.5 cm by 2.5 cm (see figure below),…
A: Given data: Width of bar, w = 7.5 cm. Height of the bar, h = 2.5 cm. Length of the bar, L = 100 cm.…
Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…
A: Given: Young's modulus (E)=8.5×106N/m2Original length (L)=1.5mElongation (δ)=2.5mm or 0.0025m
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 120…
A:
Q: (a) Determine the maximum tensile stress and maximum compressive stress o (in MPa) due to the load P…
A:
Q: The loaded frame shown in Fig. 1, is supported at A (fixed support) and B (roller support). C is an…
A: a) Reaction at support A and B The free body diagram of the right part of the hinge is here, RB is…
Step by step
Solved in 3 steps
- A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain gage at point A records the longitudinal strain in the tank and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 98 MPa, and a factor of safety of 2,8 is required. (a) At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are modulus of elasticity E = 210 GPa and Poisson's ratio v = 0.30.) (b) What is the associated strain in the radial directionAn clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
- A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shorteningAn clement of material subjected to plane strain (see figure) has strains of x=280106 , y=420106 , and xy=150106 . Calculate the strains for an element oriented at an angle = 35°. Show these strains on a sketch of a properly oriented element.A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
- - A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
- A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.