The rigid bar ABCD is supported by a pin at B and restrained by identical steel bars at C and D, each of area 300 mm2. If the temperature is increased by 100°C, determine the force P that will cause the bar at C to be stress-free. Use E = 200 GPa and a = 12 x 10 /°C. 3 m 0.8 m -0.6 m A B Co P

The rigid bar ABCD is supported by a pin at B and restrained by identical steel bars at C and D, each of area 300 mm2. If the temperature is increased by 100°C, determine the force P that will cause the bar at C to be stress-free. Use E = 200 GPa and a = 12 x 10 /°C. 3 m 0.8 m -0.6 m A B Co P

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

The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight of the bar. The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C. Ebr = 100 GPa, abr = 20 x 10-6/°C Fallow 70 MPa L = 3m A 3 m B/C с 3 mm a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this scenario. Call the reactions at FA and FC. Ton =1) und prit brolim volgen Aistis Intelesa si s b. State the compatibility condition and solve for the reactions at A and C.
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 2.3 in.2. Assume a = 4.25 ft and b = 5.10 ft. If the normal stress in each member must not exceed 55 ksi, determine the maximum load Pmax that may be supported by the structure. D Answer: Pmax= i b E b kips P
1. The rigid bar ABC is supported by a pin at B and two vertical steel rods. Initially the bar is horizontal and the rods are stress-free. Determine the stress in each rod if the temperature of the rod at A is decreased by 40°C. Neglect the weight of bar ABC. Use a=10.7 x 10-6/°C and E=200 GPa for steel. A = 1500 mm². - A = 500 mm² 1.5 m 1 m A В k 0.8 m → 1.5 m
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 109 GPa] with a cross-sectional area of A₁ = 530 mm². Bar (2) is an aluminum alloy [E = 64 GPa] with a cross-sectional area of A2 = 330 mm². A concentrated load of P = 67 kN acts on the structure at D. Assume L₁=740 mm., L₂=500 mm., a=660 mm., b=310 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection VD of point D on the rigid bar.
4. Part AB of the bar has a solid circular cross section and part BC has a hollow circular cross section. The bar is fixed at both ends and a 150-in-kip axial torque is applied at B. Suppose that you want to decrease the weight of the bar by increasing the inside diameter of part B. The bar is made of material that will safely support a pure shear stress of 10 ksi. Based on this criterion, what is the largest safe value of the inside diameter? 4 in 2 in 150 in-kip A -14 in 7 in
10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C. 275 mm Connection detail (1) Rigid bar 540 mm 135 mm 260 mm
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 3.7 in.². Assume a = 4.75 ft and b = 5.70 ft. If the normal stress in each member must not exceed 60 ksi, determine the maximum load Pmax that may be supported by the structure. a D Answer: Pmax = i b B E b kips P
The solid 1.05-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 800 lb/ft. Two concentrated loads also act on the rod: P= 2300 lb and Q = 1400 lb. Assume a = 12 in. and b = 24 in. Determine the normal stress in the rod at the following locations: (a) x = 8 in. (b) x = 24 in. → → -→ P B a Answer: Ox=8in. = psi Ox=24in. = psi
A pin-jointed truss ABC shown below consists of two links AB and BC. These links are 6 mm thick and 20 mm wide as shown. There are support brackets at A and C. All pins are 12 mm in diameter and a vertical force, P = 9 kN is applied at pin B as shown. The angle 0 =38 deg. and the angle ẞ = 0 + 20 deg. The normal stress in link AB is (The result is accurate to one decimal place, in the unit MPa. Please write down only the value of your final result) · 12mm 9 20mm -1.0m⋅ B
A truss system is supported by two pins at the top. Determine the absolute value of the axial stress in member AC (in MPa) if the diameter of the member is 30 mm.
Determine the force in the following: AB AE BC BE EC ED CD State whether the members are in tension or compression. P= 78 kN Subject: Structural Theory