Shear Stress P 130 mm P 25 mm 25 mm P 5. Assume that the axial load P applied to the lap joint is distributed equally among the three 20-mm-diameter rivets. What is the maximum load P that can be applied if the allowable stresses are 40 MPa for shear in rivets, 90 MPa for bearing between a plate and a rivet, and 120 MPa for tension in the plates?
Q: 4. The lap joint is connected by three 20-mm-diameter rivets. Assuming that the axial load P=50 kN…
A: a.Shear stress in rivet:ss=PAs=50×1000π4×20×20×3=53 MPa
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A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…
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A: Given:- a= 14.5 ftb=9.0 ftc=14.5 ftA1=1.30 in2A2=1.75 in2σallow=24 ksiTo find:-F2,A
Q: Assume that the axial load P applied to the lap joint is distributed equally among the three…
A: Answer: The maximum allowable value of load that can be applied on the joint is 37.7 kN.
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A: The maximum safe axial load that can be applied to the joint is P = 24.74 kips.
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A: P= Stress x Arivets P=80[1/4 π (202)] P=8000 π N From bearing of plate material:P=σbAb 8000 π = 140…
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- While drilling a hole with a brace and bit, you exert a downward force P = 25 lb on the handle of the brace (see figure). The diameter of the crank arm is d = 7/16 in. and it s lateral offset is b = 4-7/8 in. Determine the maximum tensile and compressive stresses e1, and e2respectively, in the crank.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 circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? Repeat part (a) for the post with cruciform cross section. Under the conditions described in parts (a) and (b), which post has the largest compressive stress?
- A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.A steel column (E = 30 x 103 ksi) with pinned ends is constructed of a W10 x 60 wide-flange shape (sec figure). The column is 24 ft long. The resultant of the axial loads acting on the column is a force P acting with an eccentricity n = 2.0 in. If P = 120 kips, determine the maximum compressive stress ff^ in the column. Determine the allowable load Pallowif the yield stress is ( y =42 ksi and the factor of safety with respect to yielding of the material is n = 2.5.A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?
- 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?An aluminum pole for a street light weighs 4600 N and supports an arm that weighs 660 N (see figure). The center of gravity of the arm is 1.2 m from the axis of the pole, A wind force of 300 N also acts in the (y) direction at 9 m above the base. The outside diameter of the pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressive stresses o, and e1., respectively, in the pole (at its base) due to the weights and the wind force.Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.
- A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.A short length of a C 200 × 17.1 channel is subjected to an axial compressive force P that has its line of action through the midpoint of the web of the channel (see figure part a). (a) Determine the equation of the neutral axis under this loading condition. (b) If the allowable stresses in tension and compress ion are 76 MPa and 52 MPa respectively, find the maximum permissible load (c) Repeat parts (a) and (b) if two L 76 × 76 × 6.4 angles are added to the channel as shown in the figure part b. See Table F-3(b) in Appendix F for channel properties and Table F-4(b) for angle properties.