A Simpe beam is loaded. If the load P-120 KN determine the maximum tensile and compressive Stresses acting normal to the sechon througn the beam. 2P Beam Cross Section 0.om 3m o 2m
Q: For the shoun in fig Beam 1) Determine normal stresses. Lat B. Are these pants. and maximum A. of…
A: Solution: The free body diagram of the beam is drawn below, Let denote the supports as P and Q,…
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A: Neutral axis will pass through midpoint of AC or BD
Q: Determine pressure in [kPa] in the cylindrical pressure vessel shown, if the measured hoop strain is…
A: Given, εhoop=500×10-6E=70 GPa=70×109 Paμ=0.33Ri=400 mm=400×10-3 mmt=6 mm=6×10-3 mm Internal diameter…
Q: For a cylindrical steel pressure vessel of inner diameter 50 in and constant wall hickness 0.125 in,…
A: Inner diameter of vessel, Di=50 in,Thickness of vessel, t=0.125 in,Pressure inside the vessel, P=200…
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A: Given data If the beam displaced by…
Q: Find the maimum normal stress carried in the part shown. 0-Sin ar0.5in
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Q: The beam shown below has a cross section of channel shape with width b-400 mm and height h=80 mm,…
A: Answer: (a) The maximum tensile stress is 64.68 MPa. (b) The maximum compressive stress is 16.36…
Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
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Q: Treat A as a support wall and determine the Maximum shear stress in the shaft and the rotation of C,…
A: Diameter of steel shaft d=40 mm LAC=300 mm ,LCD=400 mm ,LDB=500 mmG=75…
Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
A: GivenAxial load P=115.33kNT section cantilever beam as shown below
Q: Q - (A) // The figure A shown that the beam which is supported with a pin at A and a roller at B,…
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Q: diameter and the length of eac portion of the bar is 15 m ng. If the bar is subjected an etermine…
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Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
A: Given: The load is 115.33 kN. The cross section is shown below:
Q: The wide-flange beam is subjected to the P = 54 kN force. Determine the principal stresses in the…
A: Drawing the FBD of the given schematic diagram,
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Q: Exi- For the beam shown draw the flexbedral stress distrbution across the Section of the max. AL…
A: given data; elasticity of aluminium(EAl)=70GPa elasticity of copper(Ecu)=40GPaelasticity of…
Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
A: Given: The load is 115.33 kN. The T cross section is shown below:
Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
A: Given Data: The load acting on the beam is P=115.33 kN. The eccentricity from the neutral axis is…
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Q: The cylindrical steel column has an outer diameter of 90 mm and inner diameter of 80 mm. T column is…
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Q: find The stress in the balt. BD Bearing at c- Abat1mm 2OCM 0-2 Im 2.6m E,
A: drawing the free body diagram above note : Roller , pin / hinge wont take moment moment =…
Q: Find the stress in the body lo0 mm2 Az Az= Toomm B A=300mm2 Too kN 200KN A
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Q: The steel bar AB with the length 6 m has a rectangular cross-section, which is fixed at A and pin…
A: Given:- L=6m Es=200 GPa σy=360 MPa BC=5m To find:- Part A- Critical load to initiate buckling on bar…
Q: 1) Find the allinwable safe load p if the stresses in the bar cre fhe following BC - so ksi AS = GO…
A: It is required to determine safe load P
Q: ads also act on the rod: P = 1700 lb and Q = 1400 lb. Assume a = 15 in. and b = 30 in. Determine the…
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Q: Q 2: A cantilever beam has the profile shown so that it will pro sufficient clearances for large…
A: Givenload P =115.33kNT shape cantilever beam as shown below
Q: FI5-1. Determine the minimum dimensicon a to the nearest mm of the beam's cross section to safely…
A: Given: The maximum allowable normal stress, σall = 10 MPa The maximum allowable shear stress, τall =…
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A: Given: Diameter of the reinforced concrete column→D=400 mm So total area of the…
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Q: The concrete post (Ec= 3.6 x 106 psi and ac= 5.5 x 10-6/F) is reinforced with six steel bars, each…
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Q: For the bar in the way the loading status is seen determine the strain energy on the rod so that the…
A: The maximum allowable stress will be a constraint for the hollow shaft because, for the same outer…
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Q: A steal structure is loaded as shown. Knowing that F-10 kN and L-1 m: di design the rod CD, if a-100…
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Q: Q 2: A cantilever beam has the profile shown so that it will provid sufficient clearances for large…
A: Given
Q: Determine the stress components acting on the inclined plane AB in if: normal stressy = 61MPa shear…
A: Consider the following diagram representing stresses acting on the body. The area of cross-section…
Q: A steel wire of 10 mm diameter is bent into a circular arc of 20 m radius. Maximum stress induced in…
A: Given, Diameter of wire = d = 10 mm Young's modulus of wire = E = 2 x 105 N/mm2 Radius of circular…
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Q: Determine the average normal and shear stresses at a cross section (a-a) for e= 65". The member has…
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Q: 2.0 The rigid beam supports the load of 60 kN. Determine the displacement at 8. Take E = 60 GPa, and…
A: Given data as per question The load applied =60 KN Length of AD =2 m Length of BC =3 m E =60Gpa…
Q: Two vertical forces are applied to the beam of the cross section shown. Determine the maximum…
A: Given Data: The load acting on the beam is 25 kip each. The free-body diagram of the beam can be…
Q: Determine the maximum tensile and compressive stresses in portion BC of the beam, under loading…
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Q: 60 mm 30 mm 40 N-m 40 N-m 30 mm N. 5 mm 10 mm 10 mm
A: Find maximum normal stress in both case. Given Maximum moment = 40 N-m
Q: ROKNE 20KN 50m2
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Q: Q 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large…
A: Given P = 115.33 kN = 115.33 × 103 N Centroid = 100 mm in Y axis To find Resultant normal stress at…
Q: If the allowable tensile stress for the bar is (ot)allow = 22.6 ksi, and the allowable shear stress…
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Q: (014/ Arectangldar section \50mm.wide by 25ommdeep resi'sts a bendingmoment of 140kN.m. Thematenial…
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Q: What is the pressure in [kPa] in the cylindrical pressure vessel shown, if the measured hoop strain…
A: Given data:- hoop strain, εc=500×10-6Young's modulus, E=70GPa=70×103N/mm2Poisson's ratio,…
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- A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.An S6 × 12.5 steel cantilever beam AB is supported by a steel tic rod at B as shown. The tie rod is just taut when a roller support is added at Cat a distance s to the left of £, then the distributed load q is applied to beam segment AC, Assume E = 30 × 106 psi and neglect the self-weight of the beam and tie rod. Sec Table F-2(a) in Appendix F for the properties of the S-shape beam. (a) What value of uniform load q will, if exceeded, result in buckling of the tie rod if L1, =6 ft, s = 2 ft, H = 3 ft, and d = 0.25 in.? (b) What minimum beam moment of inertia ibis required to prevent buckling of the tie rod if q = 200 lb/ft, L1, = 6 ft, H = 3 ft, d = 0.25 in., and s = 2 ft? (c) For what distance s will the tic rod be just on the verge of buckling if q = 200 lb/ft, L1= 6 ft, M = 3 ft, and d = 0.25 in.?Determine the plastic modulus Z and shape factor/for a W 12 x 14 wide-flange beam. Obtain the cross-sectional dimensions and section modulus of the beam from Table F-l(a) in Appendix F.
- An overhanging beam ABC is subjected to a couple MAat the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation 04and deflection S4at end A. (Obtain the solution by using the modified form of Castigliano's theorem.)An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
- A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and modulus E = 10,000 ksi. The beam is subjected to a linearly varying distributed load with a peak intensity qQ= 900 lb/ft. Use the method of superposition and Cases 1 and 9 in Table H-l to calculate the deflection and rotation at B.The cantilever beam shown in the figure supports a triangularly distributed load of maximum intensity qü. Determine the deflection SBat the free end B. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.)The cantilever beam A CB shown in the hgure is subjected to a uniform load of intensity q acting between points A and C. Determine the angle of rotation ÔAat the free end A>(Obtain the solution by using the modified form of Castigliano's theorem.)
- .2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?A simple beam ABC DE supports a uniform load of intensity iy (see figure). The moment of inertia in the central part of the beam (BCD) is twice the moment of inertia in the end parts (AB and DE). Find the deflection Scat the midpoint C of the beam. (Obtain the solution by using the modified form of Castigliano's theorem.)A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?