Prob 1. The rigid bar below is supported by a pin and two rods and must support a load of 100 kN is placed 3 m from A. The brass (Ebrass = 85 GPa) rod has a cross section of 30 x 30 mm and the copper (Ecopper = 120 GPa) rod 20 x 20 mm. Determine the normal stress and deflection of both bars. 777777 wwwB 1.5 m 2 m copper 100 kN brass- 3 m 3 m E

Prob 1. The rigid bar below is supported by a pin and two rods and must support a load of 100 kN is placed 3 m from A. The brass (Ebrass = 85 GPa) rod has a cross section of 30 x 30 mm and the copper (Ecopper = 120 GPa) rod 20 x 20 mm. Determine the normal stress and deflection of both bars. 777777 wwwB 1.5 m 2 m copper 100 kN brass- 3 m 3 m E

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

回の at D ana Pa at all 400 MPa of 3.0 is 4.0 m рe aplied nd the pin Q9. Both portions of the rod ABC are made of an aluminum for which E = 70 GPa. Knowing that the magnitude of P is 4 kN, determiñe (a) the value of Q so that the deflection at A is zero, (b) the corresponding deflection of B. 20-mm diameter 0.4 m 0.5 m 60-mm diameter 2.
10. The hoisting beam assembly shown is supported by two 20- mm-diameter bolts at A and a 150 mm x 200 mm plate at B. In this problem, a = 1.2 m and b = 2.8 m. If the allowable tensile stress of the bolts at A is 112 MPa, which of the following gives the maximum safe value of W in KN? A. 45 C. 30 B. 60 D. 15 ZEIT 0 a BEEN H 8804 pe (cAPlate B to tried man 11 of 1911 b bell 110 mb llame lis To 102 W 20-102 bugil noitsuta
250 mm A D P = 25 kN B 30 60 C TOP VIEW 280 mm Member AD is fabricated by joining two bars (E=205GPA, G,A=82GPA) and is pinned to plate ABC using a 5 mm diameter pins as shown in the figure. The yield strength of the pins is T,=890MPA. Plate ABC is a right triangle and is fixed along its edge BC. A 25KN Force P is then applied at end D causing a lateral strain in member AD with magnitude equal to 7.5x104mm/mm. This also causes Point A to displace only along the horizontal resulting to a shear strain at point A equal to y,=+0.00165rad. Determine the following: 1. Poisson's ratio of material used in member AD, vD 2. The normal strain in member AD, CAD 3. The average stress experienced by pin A, TA 4. Factor of Safety of pin A with respect to yielding, FS,A 5. Displacement of point D, A,
The rigid bar AD (figure STR-4) is supported by two steel wires of 1.5mm diameter (E = 200 GPa) and a pin and bracket at D. Knowing that the wires were initially taut. Determine the following: a. The additional tension in wire BE when a load P=900 N is applied at D. b. The additional stress in wire FC when a load P = 900 N is applied at D c. The corresponding deflection at point D.
FIGORE %3D aluminum [E = 70 GPa] links (1) and H.W.3: In Figure (2) support rigid beam ABC. Link (1) has a cross-sectional area of 300mm2, and link (2) has a cross-sectional area of 450 mm2. For an applied load of P = 55 kN, determine the rigid beam deflection tad Nadhon hub at point B. (2) 4,000 mm (1) 2,500 mm 1,400 mm 800 mm P. FIGURE
The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 60 kip is applied to ring F and the allowable stress of the material is 67 ksi, determine the cross-sectional area of each rod and the horizontal displacement of point F. B AAB = a in² E 6 ft -1 ft2 ft- AEF 2a in² 2 ft FO 60 kip D ACD= 1.5a in² C
Two plates with a thickness of 35mm, width of 160mm, and length of 200mm are joined together by a pin with a diameter of 60mm. 200 mm 60 mm P 160 mm T 35 mm 35 mm 200 mm 1) For a Factor of Safety of 2, find the maximum load P that can be applied if the bearing strength of the plate is 250MPA and the shear strength of the pin is 100MPA. Suppose that P is 140KN, the Modulus of Elasticity is 200GP,, and the Poisson's ratio is 0.3. 2) Determine the change in length of each plate. 3) Determine the change in width of each plate. 4) Determine the change in thickness of each plate.
Q1/ The 15-mm diameter steel bolt is screwed tightly into a block at A. Suppose that the couple forces F causes the ends of the wrench to be displaced 3 mm, determine the maximum shear stress in the bolt. Assume that the wrench is rigid and modulus of rigidity of steel is 75 GPa. 150 mm i50 mm mni
Determine the maximum tensile and compressive bending stresses developed in the beam shown. The cross-section has the given properties. NA 1-35 x 10mm a. RA = b. RE= c. fb(c) = d. fb(T) = 80 mm 200 mm A 1.5m kN KN 5kN m MPa MPa B 1.5m SkN/m 2m 5KN n 2m 4
1. The assembly is shown is attached to supports at A and D. Section BCD is a solid 2" diameter aluminum [E = 10,000 ksi] rod. Steel [E = 30,000 ksi] tube AB has an outer diameter of 3.50" and a wall thickness of 0.216 in. Determine (a) the stresses is sections AB, BC and CD, and (b) the deflections of joints B and C. [OAB = 3.40 ksi (C), Osc = 5.863 ksi (T) Oc, = 4.959 ksi (C), 8, = 0,0054"– , d. = 0,02975"→] %3D %3D %3D %3D 13 kips 17 kips A C 13 kips 17 kips 4 ft 5 ft 5 ft
A flexural member is fabricated from two flange plates 1/2x16 and a web plate 1/4x20, thusforming a built-up ‘I’ shape member. The yield stress of the steel is 50 ksi.a. Compute the plastic section modulus Z and the plastic moment Mp with respect to the majoraxis.b. Compute the section modulus S and the plastic moment My with respect to the major axis
From the bracket connection shown. 1. Which of the following gives the stress due to axial load. a. 62.07 MPa b. 75.56 MPa c. 52.89 MPa d. 19.34 MPa 2. What is the value of ‘b’ that will make the maximum stress due to moment equal to that due to axial load? a. 150 mm b. 200 mm c. 250 mm d. 300 mm 3. What is the eccentricity? a. 300 mm b. 250 mm c. 150 mm d. 196.78 MPa