What is the area of the tube? What is the total length of the median line? sheari
Q: Calculate the average shear stress in a thin-walled tube having a circular cross section of mean…
A: The shear stress for the given thin walled tube can be given by an approximate formula for force…
Q: Is the location of the shear center only a function of the geometry of the cross-section?
A: The shear center of a section is defined as the point where the force acts to avoid the structure…
Q: Do the principal stresses represent the maximum and minimum normal stress?
A: Principal planes are the planes on which the shear stress is zero or the planes on which the normal…
Q: 4. Biot hypothesized that the shear modulus is influenced by the presence of the pore fluid. 5. Pure…
A: The given questions are : 4. Biot hypothesized that the shear modulus is influenced by the presence…
Q: The allowable shear stress is Tallow = 7.8 ksi. 3 in. 1 in. 3 in. 1 in. 1 in.
A: GIVEN DATA- SHEAR STRESS =7.8ksi WE HAVE TO CALCULATE SHEAR FORCE
Q: Calculate the sheared area if the shear stress is 20 MPa and the applied force is 20 kN
A: Shear force is the force that tends to tear the material.
Q: How can we find the maximum normal and maximum shear stress at the point?
A: Normal Stress: Normal stress is the amount of stress that occurred in a member when it is loaded by…
Q: A 5-mm thick plate of steel is formed into the cross section shown in Fig. P8.13. Locate the shear…
A: The Center of the shear is defined as the place on the section of the beam where the load is…
Q: A 5-mm thic< plate of steel is formed into the cross section shown in Fig. P8.13. Locate the shear…
A: The Center of the shear is defined as the place on the section of the beam where the load is…
Q: The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 42 Hz. If…
A:
Q: Explain the significance of understanding the effects of applying a torsional loading to a long…
A: EXPLANATION: The torsional strain on a circular cross-section causes the cross-section to twist…
Q: The maximum shear load (Vmax) – positive (+) value if upward, negative (-) value if downward • The…
A:
Q: Do the stress concentrations exist on a shaft?
A: Stress concentration is increase in stress at particular point where stress is more because of hole…
Q: An automotive shaft manufacturing facility wants to reduce the material cost of the shaft. Propose a…
A: When we want the shaft to carry shear stress on the outermost edge, the most preferred one is hollow…
Q: If the shaft must have one uniform diameter, determine the required minimum diameter of the shaft…
A:
Q: A 5-mm thick plate of steel is formed into the cross section shown in Fig. P8.13. Locate the shear…
A: The Center of the shear is defined as the place on the section of the beam where the load is…
Q: What is the maximum normal stress, MPa, due to bending on section C? For S200x27.4, S = 235µm^3.…
A:
Q: Define the term maximum in-plane shear stress?
A: Consider the diagram shown below for the principal stresses at a point.
Q: A o 25 mm hole is pierced in a t = 2.5 mm thick steel sheet having shear strength t = 350 MPa. If…
A:
Q: W310 x 52 beam is made with a material that has a maximum shearing stress of 90 MPa. Determine the…
A:
Q: How can we determine the maximum shear stress in the shaft?
A: Torsional shear stress is the stress set up a member when it is subjected to two equal and opposite…
Q: How do you calculate the principle stresses for Mohrs Circle?
A: Mohr's circle is used to represent a plane state of stress or a two-dimensional state of stress.…
Q: Define the term parabolic shear-stress distribution?
A: Shear stresses in Beams: Consider a rectangular beam of width w and height h. The shear stress in…
Q: For design or analysis, is it necessary to know the exact shear-stress distribution on the…
A: The shear stress distribution is a distribution curve, whereby the shear force acting on the object…
Q: Why does the shear formula not give accurate results when used to determine the shear stress?
A:
Q: (b) A solid rectangular shaft of cross-section 80 mm × 50 mm is welded by a 5 mm fillet weld on all…
A: Given data L=80 mmb=50 mmt=5 mmτ=85 N/mm2
Q: Is the axial stress generally smaller than the stress developed by shear?
A: Axial stress is the stress due to the applied axial load divided by the cross-sectional area. and…
Q: The length where the shear is zero (x) (if applicable) • The maximum shear load (Vmax) – positive…
A:
Q: A pipe has an outside diameter of 0.7 inches and inside diameter of 0.12 inches. A force of 411 lbs…
A:
Q: A shaft of diameter 40 mm is subjected to 360 N-m torque. The length of the shaft is 10 cm.…
A: Given data: The diameter of the shaft, d = 40 mm. The torque subjected to the shaft, T = 360 N-m.…
Q: ermissible shear stress
A:
Q: What is the Absolute Maximum Shear Stress?
A: Absolute shear stress is applied to a point when it is subjected to 3D stress. This is determined by…
Q: ple 10.11 The drive shaft of a car with diameter 30 mm is designed to transmit a power of 50 kW when…
A: power = torque x rotational velocityangular velocity = 2100 rpm = 219.9114 rad/secpower = 50000…
Q: ulate the equations of shear force V( thematical expressions or constants.
A: GIVEN load w=6N/mm=6000N/mLAB=1900mm=1.9mLBC=3100mm=3.1m
Q: 1. An elliptical tube has a thickness of 0.15 inch. What torque will produce a shearing stress of…
A: In thin tubes, shear stress are assumed to be uniform across the thickness. Lt R is the mean radius…
Q: A pipe has an outside diameter of 0.7 inches and inside diameter of 0.12 inches. A force of 411 lbs…
A:
Q: 40 mm 10 mm 40 mm n aluminum tube with the cross section shown has a constant wall thickness mm. A…
A: GivenT=400N.mG=8Gpa
Q: The shearing force at a given section of a built-up I-girder is 1000 kN and the depth of the web is…
A:
Q: 26. If ơ, = 50 ksi, oy = 10 ksi, and Txy = 30 ksi, what is the absolute maximum shear stress for the…
A: Given: The stress along x-axis, σx = 50 ksi The stress along y-axis, σy = 10 ksi The shear stress,…
Q: Does the location of the shear center depend upon the applied loading?
A: Beams are designed to bear bending and shear loads. If the section of a beam is symmetrical, then…
Q: Part A The beam is to be cut longitudinally along both sides as shown. (Figure 1) If it is made from…
A:
Q: 5. Write short note on maximum shear stress theory verses maximum strain energy theory.
A: Maximum Shear Stress theory: It states that failure occurs when the value working shear stress…
Q: If the allowable normal stress is 120MPa and the allowable shear stress is 60MPa, what is the…
A:
Q: What is the difference between direct and shear stress
A: Direct Stresses are tensile or compressive stresses that operate in a plane that is normal to…
Q: Consider a solid shaft of 18-mm diameter. Determine the maximum shearing stress in the shaft as it…
A:
Q: Calculate the principle stresses and the maximum shear stress.
A: Given: σx =10 Psi T σy = 25 Psi T τ = 5 Psi
Q: How is the maximum shear stress determined with the torsion formula?
A: The formulae to calculate the shear stress from the Torsion formulae is as follows:
Q: A shearing force of 180 kN acts over a T-section shown in Fig. 9. Draw the shear stress distribution…
A: Given data as per question shear force =180 KNI =1.134×108 mm4we know thatshear stress(τ)=FAy¯IbNow…
Q: Problem: Use the elasticity theory to determine the maximum shearing stress, the angle of twist per…
A: Elasticity theory is concerned with the connection between forces applied to an item and the…
Q: An AISI 1035 CD steel tube has an OD = 45 mm and a wall thickness of 5 mm. What maximum external…
A: Given data: OD=45 mmt=5 mm Need to determine the maximum external pressure.
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- A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).Solve the preceding problem for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE= ILS mm,andV = 38 kN.
- A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
- An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.A vertical pole of aluminum is fixed at the base and pulled at the top by a cable having a tensile force T(see figure). The cable is attached at the outer edge of a stiffened cover plate on top of the pole and makes an angle a = 20° at the point of attachment. The pole has length a = 2.5 m and a hollow circular cross section with an outer diameter d2= 280 mm and inner diameter d1= 220 mm. The circular cover plate has diameter 1.5d2 Determine the allowable tensile force Tallow in the cable if the allowable compressive stress in the aluminum pole is 90 MPa.A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
- A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the fiaure. The outer diameters of the tubes are dAB= 41 mm and dBC= 28 mm. The wall thickness are tAB= 6.5 mm and tBC= 7.5 mm. The yield stress in tension for the steel is sy = 200 MPa and the ultimate stress in tension is ??U:= 340 MPa. The corresponding yield and ultimate values in shear for the pm are 80 MPa and 140 MPa, respectively. Finally, the yield and ultimate values in bearing R between the pins and the tubes are 260 MPa, and 450 MPa, respectively. Assume that the factors safety with respect to yield stress and ultimate stress are 3.5 and 4.5. respectively. (a) Calculate the allowable tensile force P allowconsidering tension in the tube (b) Recompute P allowfor shear in the pins.(c)Finaly, recomputed Pallowfor bearing between the pm and the tubes. Which is the tubes. Which is the controlling value value of P?A circular steel tube with an outer diameter of 75 mm and inner diameter of 65 mm is subjected to torques 7"at its ends. Calculate the maximum permissible torque 7jliajl if the allowable normal strain is ea= 5 X 10"4 Assume that G = 15 GPa.