Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- The solid circular rod has a cross-sectional area of 440 mm². It is subjected to a uniform axial distributed loading along its length of w = 9 kN/m. Two concentrated loads also act on the rod: P = 7 kN and Q=5 kN. Determine the normal stress in the rod at x = 0.4 m. Assume a = 0.5 m and b=0.9 m. a Answer: σ= i B MPa Oarrow_forwardAll forces applied in the system are in the (x - y) plane. The material point B at the top of the beam is rotated at an angle of 15° counterclockwise. It is required that the shear stress is 17.5 MPa for this rotated material point B. At the bottom point A of the beam it is required that the maximum tensile stress is 110 MPa. Determine the load P and the length d that satisfies these constraints defined for points A and B. Given data: L= 4 b, t = b / 25, c = 2b, b = 1000 mm, e = 12, f=5 b/4- q = 2P/L b/ 4 -b/4- Parrow_forwardDetermine the maximum stress of the plate. rivet hole diameter= 2 cm • width of the plate= 6 cm • uni-axial tension of 55 MPa.arrow_forward
- The bronze shaft is formed by attaching a hollow shaft to a solid shaft. The allowable shear stress of bronze is 100 MPa. Use G = 35 GPa for bronze. a. If the torque applied is 15 kN m, determine the maximum shearing stress developed in the bronze shaft b. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 100 MPa or an angle of twist of 3.5 in the 3.5-m length.arrow_forwardProblem 2. [Concepts: Internal forces in 2D and average normal stress] The bars of the truss each have a cross-sectional area of 1.25 in². a) Determine the average normal stress in each member due to the loading P = 8 kip. State whether the stress is tensile or compressive. b) If the maximum average normal stress in any bar is not to exceed 20 ksi, determine the maximum magnitude P of the loads that can be applied to the truss. 4 ft 4 ft 4 E 0.75 P 0arrow_forwardDetermine the moment M in kN-m that must be applied to the beam to create maximum stress of 98 MPa. Where tf = 19 mm and d = 306 mmarrow_forward
- The solid shaft is fixed to the support at C and subjected to the torsional loadings and axial load P as shown. a. Determine the torsional shear stress at Point A (50mm from the center) and Point B (on the Surface) b. Determine the absolute maximum torsional shear stress in the shaft. c. sketch the state of stress at point A and draw its corresponding Mohr’s Circle of stress. compute the principal stresses and maximum in-plane stress. T=10.38kN-marrow_forwardQ.2 A force F is applied to a rigid beam AB. The diameter of the deformable 2х X post AC is 20 mm and diameter of the deformable post BD is 10 mm. A B F= 60 (kN) and x = 1.2 (m) E=70 GPa for the posts AC and BD. 1m 1m C Calculate the followings a) Normal stresses at post AC and BD b) Normal strains at post AC and BD c) Deformations at post AC and BD d) Angle of tilt that occurs in Beam AB.arrow_forwardThe solid 1.85-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 925 lb/ft. Two concentrated loads also act on the rod: P= 1700 lb and Q = 1100 lb. Assume a = 20 in. and b = 40 in. Determine the normal stress in the rod at the following locations: (a) x = 13 in. (b) x = 39 in. > > > -> -> > b Answer: Ox=13in. = psi Ox=39in. = psiarrow_forward
- (a) A steel structural member of length = 10 ft. is supported between two fixed supports so that it cannot expand. At 68°F, there is no stress in the member. (E = 30 x 106 psi and α = 6.5 x 10-6/°F) Calculate the stress (psi) in the member at 95°F. Stress (psi) = (b) If the same structural member is not supported between two fixed supports, calculate the total elongation of the member (in.) for the same temperature change. elongation (in.) =arrow_forwardAll forces applied in the system are in the (x - y) plane. The material point B at the top of the beam is rotated at an angle of 15° counterclockwise. It is required that the shear stress is 12.5 MPa for this rotated material point B. At the bottom point A of the beam it is required that the maximum tensile stress is 110 MPa. Determine the load P and the length d that satisfies these constraints defined for points A and B. Given data: L = 4 b, t = b / 25, c = 2b, b = 600 mm, e = 5 , f = 12arrow_forwardDetermine the shear stress in pin A (double shear) and the normal stress in DE. The diameter of pin A is 0.125" and the cross section of DE is 0.15"x0.25". -2 ft -2 ft C A E 3 ft 600 lbarrow_forward
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