9-37. Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear. Take E = 29(10³) ksi, I = 300 in, G = 12(10³) ksi, and assume AB has a cross-sectional area of A = 7.50 in². Use the method of virtual work. A 10 ft 4 k/ft B Prob. 9-37 5 ft C

9-37. Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear. Take E = 29(10³) ksi, I = 300 in, G = 12(10³) ksi, and assume AB has a cross-sectional area of A = 7.50 in². Use the method of virtual work. A 10 ft 4 k/ft B Prob. 9-37 5 ft C

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

200mm Strain gauge F mun +100m 200mm- 4mm Strain gauge 4mm 12mm 12mm 4mm A small T-section is used in inverted positions as a beam and is shown in figure over a span of 400 mm. If due to the application of forces shown, the longitudinal strain gauge at F registers a compressive strain of 1500 microstraints, determine the magnitude of P. Take E = 200 GPa.
SOLVE THE PROBLEM USING DOUBLE INTEGRATION METHOD Problem II. The midpoint B of the steel cantilever beam ABC is supported by a vertical aluminum rod. Find the maximum allowable value of the applied force P if the stress in the rod is not to exceed 120 MPa. Use Est = 200 GPa, I = 50 x 10 mm4 for the beam, Eal = 70 GPa, and A = 42 mm² for the rod. 5 m 2 m Aluminum -Steel 2 m C
horizontal load applied to the bar AC causes point A to be displaced to the right by an amount ∆?, determine the normal strain in the wire AB. Originally, ?=45°.
The T-beam is subjected to a bending moment of M = 150 kip in. directed as shown. Determine the maximum bending stress in the beam and the orientation of the neutral axis. Make sure you check all possible points (corners) for max stress and/or state other reasoning for the point that you pick. Answer: [σmax = 3.33 ksi, β = -63.1°]
30 mm C A B 150 mm M 150 mm 300 mm 30 mm - determine the bending stress developed at points A, B, and C. Sketch the bending stress distribution on the cross section. - Assume that the cross-section has a moment of inertia about the neutral axis of 1.907 x 10-4 m². - Assume that the neutral axis is located 97.5 mm from the bottom of the cross-section - Assume the internal bending moment M = 61.4 kN.m
Solve using Moment -Area Method. The midpoint B of the steel cantilever beam ABC is supported by a vertical aluminium rod. Find the maximum allowable value of the applied force P if the stress in the rod is not to exceed 120 MPa. Use Est = 200 GPa, I= 50 x 10° mm* for the beam, Eal = 70 GPa, and A = 42 mm? for the rod. - Aluminum 5 m -Steel A C m m
3. The shaft is attached to rigid fixed supports at each end. The maximum shear stress will be equal in both segments when the torque T is applied at B Determine the d.. Use 2 decimal places. Use the given sign convention for uniformity. dAn =? dac = 40 mm 0 (+) 1200 mm 800 mm
Figure Q1 shows a statically determinate plane truss subjected to a verticalconcentrated load at C and E. The truss is made using steel with Modulus of Elasticity is210 GPa, and the cross section area for all members are 30 mm2. Assuming P is the 10 and a is half of P, determine the vertical displacement at F. Thesolution can be based on Method of Conservation Energy or Method of Virtual Work.
6. A bar of length L is subjected to axial compressive load P. Determine the strain & along the bar length, given that the axial displacement along the bar length varies according u= -(22²/L) x 10-³. Coordinate is measured from the left end of the bar. L
of A square plate (a x a) is a fixed supported on all four edges and carries a uniform load a (per nit area). The equation for deflection is: V"w=q/D where D is flexural rigidity. Take a h=Ax = Ay =-. Find the deflection at internal nodes. %3D 4
The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr 5600 Ksi. %3D %3D 3 ft 2 ft 0.5 in. 1 in. T = 50 lb ft
(c) Beam AB is made of three planks glued together and is subjected, in its plane of symmetry, to the loading as shown. Knowing that the width of each glued joint is 20 mm, determine the average shearing stress in each joint at section n-n of the beam. The location of the centroid of the section is given in the sketch and the centroidal moment of inertia is known to be l = 8.63 x 10 m². 1.5 KN 1.5 KN n n - 0.4 m 20 mm 80 mm 20 mm 0.2 m 100 mm C -Joint a -20 mm 0.4 m- 60 mm- 68.3 mm Joint b B