Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A horizontal beam AB with dimensions of its cross section (b = 19 mm) x (h = 200 mm) is supported by a rake CD and supports a load P = 12 kN at B (see part a of the figure). The strut, consisting of two bars each with a thickness of 5b/8, is connected to the beam by a bolt that passes through the three bars that meet at C (see part b of the figure) (a) If the allowable shear stress in the bolt is 90 MPa, what is the necessary minimum diameter (dmin) of the bolt at C? (b) If the allowable bearing stress in the bolt is 130 MPa, what is the necessary minimum diameter (dmin) of the bolt at C?arrow_forwardThe uniform square plate is suspended by three equal-length cables as shown. Determine the tension T in each cable. 2.5 r 120° 120° Answer: T= i B_120° m mgarrow_forwardA beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b= 155 mm, c = 26 mm, d = 72 mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. Answer: M₂ (a) y-i 1₂ = i S= i (b) OH = (c) Ok= (d) Omax i i i M₂ mm mm4 mm³ MPa MPa MPa (typ) b H K darrow_forward
- A cantilever beam AB, loaded by a uniform load (see figure), is applied on a channel section. If the cross section has the dimensions indicated and the moment of inertia about the z axis (the neutral axis) is | = 3.36 in a) Find the maximum tensile stress feuaxand maximum compressive stress fyMx b) Draw the shear and moment diagram 5.0 lb/ft 0.617 in. 2.269 in. 6.0 ftarrow_forward2.F6 A container of mass m = 120 kg is supported by three cables as shown. Draw the free- body diagram needed to determine the tension in each cable. 360 mm 500 mm Z D y A B 450 mm 600 mm 320 mm Xarrow_forwardA simply supported beam is 0.6 feet long, and has a distributed load of 8.9 kips/ft pointing in the negative y direction along the entire beam. First- find the maximum moment in the beam? HINT: You should draw the beam. QUESTION: If the y distance from the neutral axis to the furthest fiber in tension is = -5 inches, and the moment of inertia of the beam is 100 in4, then what is the bending stress in the beam? in psi? Give answer to 1 decimal point, and no units, such as 1250.1 (not 1250.1 psi)arrow_forward
- The force P=25 kN is applied to the bracket as shown in the figure. Compute the normal stresses developed at points A and B. A Answer B 1000 mm 100 mm 17.5° P A = 8000 mm² I= 50 x 106 mm4 NA. T 100 mm 77 200 mmarrow_forwardde 2.F6 A container of mass m = 120 kg is supported by three cables as shown. Draw the free-body diagram needed to determine the ten- sion in each cable. 450 mm 360 mm D 500 mm 320 mm B X 600 mmarrow_forwardA beam is subjected to equal bending moments of M, = 4300 N-m. The cross-sectional dimensions are b = 140 mm, c = 35 mm, d = 68 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M2 H d (tур) K Answer: (a) y= i mm Iz = i mm4 S= i mm3 (b) ƠH MPa (c) OK = i MPa (d) Omax i MPaarrow_forward
- In the Cantilever Beam Shown Below determine distance x and force P. Show FBDarrow_forwardColumn AB carries a centric load P of magnitude 16.5 kips. Cables BC and BD are taut and prevent motion of point B in the xz plane. Using Euler's formula and a factor safety of 2.2 and neglecting the tension in the cables, determine the maximum allowable length L. Use E = 29 × 106 psi. (Round the final answer to one decimal place.) P B W10 X 22 D The maximum allowable length Lis ft.arrow_forwardShow complete solutions.arrow_forward
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